[ { "id": "L0", "title": "[Group AUDIT: Master Audit] MASTER CONSISTENCY AUDIT β€” v1.27.5 KERNEL", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"RG_running\", \"audit\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"muon_g2\", \"standard_model\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L0/" }, { "id": "L1", "title": "[Group A: Algebraic Foundations] SPLIT-OCTONION MULTIPLICATION TABLE", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"Zorn_matrix\", \"rep_theory\", \"split_octonions\", \"symbolic_verification\"]", "url": "/library/L1/" }, { "id": "L10", "title": "[Group A: Algebraic Foundations] HUA POLYNOMIAL β€” FULL DERIVATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"Hua_polynomial\", \"RG_running\", \"dark_sector\", \"dual_VEV\", \"exceptional_groups\", \"geometric_volumes\"]", "url": "/library/L10/" }, { "id": "L100", "title": "[Group I-legacy: v1.25/v1.26 Highlights] COSMOLOGY TENSIONS β€” LEGACY v1.26 SUMMARY", "category": "library_prompt", "tier": "S.B", "tier_name": "Legacy v1.25/v1.26", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\", \"legacy_recovery\", \"standard_model\"]", "url": "/library/L100/" }, { "id": "L101", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 1 RESOLUTION β€” CUBIC GAP CLOSURE", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"muon_g2\", \"symbolic_verification\"]", "url": "/library/L101/" }, { "id": "L102", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 2 RESOLUTION β€” n-VALUE DERIVATION", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"QCD_color\", \"RG_running\", \"dark_sector\", \"symbolic_verification\", \"triality\"]", "url": "/library/L102/" }, { "id": "L103", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 3 RESOLUTION β€” alpha_em CONJECTURE CLOSED", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L103/" }, { "id": "L104", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 4 RESOLUTION β€” TIER A DEVIATIONS", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"Hua_polynomial\", \"NEW_resolution\", \"RG_running\", \"dark_sector\", \"quark_masses\", \"tier_classification\", \"top_quark\"]", "url": "/library/L104/" }, { "id": "L105", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 5 RESOLUTION β€” INTERNAL INCONSISTENCIES", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"dark_sector\", \"muon_g2\", \"strange_quark\"]", "url": "/library/L105/" }, { "id": "L106", "title": "[Group J: Resolutions, Forecasts, Preprint] PROBLEM 6 RESOLUTION β€” G2 to SM EMBEDDING", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"exceptional_groups\", \"rep_theory\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/L106/" }, { "id": "L107", "title": "[Group J: Resolutions, Forecasts, Preprint] MIRROR FERMIONS β€” F-THEORY COMPLETION", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"LHC\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"falsifiability\", \"mirror_fermions\", \"rep_theory\", \"standard_model\"]", "url": "/library/L107/" }, { "id": "L108", "title": "[Group J: Resolutions, Forecasts, Preprint] C-OPERATOR AND CHARGE CONJUGATION", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"CPT_symmetry\", \"Cabibbo\", \"RG_running\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L108/" }, { "id": "L109", "title": "[Group J: Resolutions, Forecasts, Preprint] F5 UNIVERSALITY β€” SINGLE GEOMETRIC FACTOR", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"BSM\", \"Cabibbo\", \"Hua_polynomial\", \"M_scale\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"geometric_volumes\", \"quark_masses\"]", "url": "/library/L109/" }, { "id": "L11", "title": "[Group A: Algebraic Foundations] WYLER FORMULA β€” NUMERICAL VERIFICATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L11/" }, { "id": "L110", "title": "[Group J: Resolutions, Forecasts, Preprint] PREPRINT STRUCTURE β€” arXiv READINESS", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"falsifiability\", \"publication\", \"tier_classification\"]", "url": "/library/L110/" }, { "id": "L111", "title": "[Group J: Resolutions, Forecasts, Preprint] TIER STRUCTURE β€” COMPLETE RECLASSIFICATION", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"standard_model\", \"tier_classification\"]", "url": "/library/L111/" }, { "id": "L112", "title": "[Group J: Resolutions, Forecasts, Preprint] FORECASTS β€” 2026-2030 EXPERIMENT WATCH LIST", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"EDM\", \"GW_parity\", \"LHC\", \"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\"]", "url": "/library/L112/" }, { "id": "L113", "title": "[Group J: Resolutions, Forecasts, Preprint] ABSOLUTE m_e CALCULATION β€” FULL CHAIN", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"hierarchy\", \"lepton_masses\"]", "url": "/library/L113/" }, { "id": "L114", "title": "[Group J: Resolutions, Forecasts, Preprint] SPLIT-OCTONION TOE β€” COMPARISON TO COMPETITORS", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"competing_theories\", \"exceptional_groups\", \"split_octonions\"]", "url": "/library/L114/" }, { "id": "L115", "title": "[Group J: Resolutions, Forecasts, Preprint] GRAND SUMMARY β€” v1.27.5 FINAL STATUS", "category": "library_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"publication\", \"standard_model\", \"tier_classification\"]", "url": "/library/L115/" }, { "id": "L12", "title": "[Group A: Algebraic Foundations] SHILOV BOUNDARY VOLUMES β€” WYLER GEOMETRIC PROOF", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Hua_polynomial\", \"RG_running\", \"Wyler_alpha\", \"geometric_volumes\", \"symbolic_verification\"]", "url": "/library/L12/" }, { "id": "L13", "title": "[Group A: Algebraic Foundations] DUAL VEV COMPUTATION β€” FULL NUMERICAL", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dual_VEV\", \"symbolic_verification\"]", "url": "/library/L13/" }, { "id": "L14", "title": "[Group A: Algebraic Foundations] M_scale β€” STEP-BY-STEP DERIVATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"pion\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/L14/" }, { "id": "L15", "title": "[Group A: Algebraic Foundations] GOLDEN RATIO IDENTITIES β€” ALGEBRAIC VERIFICATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Hua_polynomial\", \"RG_running\", \"dark_sector\", \"phi_tower\", \"symbolic_verification\"]", "url": "/library/L15/" }, { "id": "L16", "title": "[Group A: Algebraic Foundations] ASSOCIATOR AND MOUFANG IDENTITIES", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Moufang\", \"QCD_color\", \"RG_running\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L16/" }, { "id": "L17", "title": "[Group A: Algebraic Foundations] EXCEPTIONAL JORDAN ALGEBRA β€” DIMENSION COUNTING", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"J3Os\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"symbolic_verification\"]", "url": "/library/L17/" }, { "id": "L18", "title": "[Group A: Algebraic Foundations] ZORN VECTOR MATRICES β€” EXPLICIT COMPUTATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"Zorn_matrix\", \"dark_sector\", \"split_octonions\", \"symbolic_verification\"]", "url": "/library/L18/" }, { "id": "L19", "title": "[Group B: Gauge and EW Sector] WEINBERG ANGLE FROM Os MIXING", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Weinberg\", \"dark_sector\"]", "url": "/library/L19/" }, { "id": "L2", "title": "[Group A: Algebraic Foundations] QUADRATIC FORM AND NULL CONE", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"null_cone\", \"symbolic_verification\"]", "url": "/library/L2/" }, { "id": "L20", "title": "[Group B: Gauge and EW Sector] W BOSON MASS CALCULATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"W_boson\", \"Weinberg\", \"muon_g2\"]", "url": "/library/L20/" }, { "id": "L21", "title": "[Group B: Gauge and EW Sector] Z BOSON MASS CALCULATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"W_boson\", \"Z_boson\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L21/" }, { "id": "L22", "title": "[Group B: Gauge and EW Sector] HIGGS MASS β€” v*sqrt(16/63) COMPUTATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"RG_running\", \"dark_sector\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/L22/" }, { "id": "L23", "title": "[Group B: Gauge and EW Sector] HIGGS SELF-COUPLING β€” lambda=8/63 VERIFICATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"LHC\", \"RG_running\", \"symbolic_verification\"]", "url": "/library/L23/" }, { "id": "L24", "title": "[Group B: Gauge and EW Sector] MULTI-HIGGS SPECTRUM FROM J3(Os)", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"LHC\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"falsifiability\", \"standard_model\"]", "url": "/library/L24/" }, { "id": "L25", "title": "[Group B: Gauge and EW Sector] TOP QUARK β€” QCD RADIATIVE CORRECTION", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Z_boson\", \"quark_masses\", \"top_quark\"]", "url": "/library/L25/" }, { "id": "L26", "title": "[Group B: Gauge and EW Sector] BOTTOM QUARK MASS β€” D*phi^{-7} TOWER", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"bottom_quark\", \"dark_sector\", \"phi_tower\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/L26/" }, { "id": "L27", "title": "[Group B: Gauge and EW Sector] CHARM QUARK MASS β€” D*phi^{-9} TOWER", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"charm_quark\", \"cubic_characteristic\", \"phi_tower\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/L27/" }, { "id": "L28", "title": "[Group B: Gauge and EW Sector] STRANGE QUARK β€” Z2 MIXING CALCULATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"quark_masses\", \"strange_quark\"]", "url": "/library/L28/" }, { "id": "L29", "title": "[Group B: Gauge and EW Sector] UP AND DOWN QUARK MASSES", "category": "library_prompt", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"quark_masses\", \"standard_model\"]", "url": "/library/L29/" }, { "id": "L3", "title": "[Group A: Algebraic Foundations] G2(2) GENERATOR ALGEBRA", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L3/" }, { "id": "L30", "title": "[Group B: Gauge and EW Sector] CKM theta_12 β€” FULL NUMERICAL", "category": "library_prompt", "tier": "1.D", "tier_name": "Mixing & CP β€” Cabibbo Limit", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"Hua_polynomial\", \"RG_running\", \"dark_sector\", \"symbolic_verification\"]", "url": "/library/L30/" }, { "id": "L31", "title": "[Group B: Gauge and EW Sector] CKM theta_13 AND theta_23 DERIVATION", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix (3Γ—3)", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"Hua_polynomial\", \"J3Os\", \"RG_running\", \"dark_sector\", \"falsifiability\"]", "url": "/library/L31/" }, { "id": "L32", "title": "[Group B: Gauge and EW Sector] CP VIOLATION β€” delta_CP FROM Os PHASES", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix (3Γ—3)", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"J3Os\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"split_octonions\"]", "url": "/library/L32/" }, { "id": "L33", "title": "[Group B: Gauge and EW Sector] alpha_s β€” STRONG COUPLING FROM Os", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Z_boson\", \"dark_sector\", \"exceptional_groups\", \"falsifiability\", \"standard_model\"]", "url": "/library/L33/" }, { "id": "L34", "title": "[Group B: Gauge and EW Sector] SIN^2(theta_W) β€” PRECISION CALCULATION", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"Weinberg\", \"dark_sector\", \"split_octonions\", \"standard_model\"]", "url": "/library/L34/" }, { "id": "L35", "title": "[Group C: Lepton Masses] ELECTRON MASS β€” CUBIC ROOT NUMERICAL", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Freudenthal\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"symbolic_verification\"]", "url": "/library/L35/" }, { "id": "L36", "title": "[Group C: Lepton Masses] MUON MASS β€” TOWER AND CUBIC CROSS-CHECK", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"cubic_characteristic\", \"dark_sector\", \"muon_g2\", \"phi_tower\"]", "url": "/library/L36/" }, { "id": "L37", "title": "[Group C: Lepton Masses] TAU MASS β€” TOWER AND CUBIC CROSS-CHECK", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"phi_tower\", \"quark_masses\", \"top_quark\"]", "url": "/library/L37/" }, { "id": "L38", "title": "[Group C: Lepton Masses] LEPTON UNIVERSALITY CHECK", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"cubic_characteristic\", \"falsifiability\", \"lepton_masses\", \"phi_tower\", \"quark_masses\", \"top_quark\"]", "url": "/library/L38/" }, { "id": "L39", "title": "[Group C: Lepton Masses] CHARGED LEPTON MASSES β€” COMPLETE TABLE", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"muon_g2\", \"quark_masses\", \"tier_classification\", \"top_quark\"]", "url": "/library/L39/" }, { "id": "L4", "title": "[Group A: Algebraic Foundations] TRIALITY AND SIGMA-CYCLES", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"QCD_color\", \"RG_running\", \"dark_sector\", \"standard_model\", \"symbolic_verification\", \"triality\"]", "url": "/library/L4/" }, { "id": "L40", "title": "[Group C: Lepton Masses] NEUTRINO MASSES FROM NULL-CONE", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"neutrino\", \"null_cone\"]", "url": "/library/L40/" }, { "id": "L41", "title": "[Group C: Lepton Masses] PMNS MATRIX β€” LEPTON MIXING FROM Os", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"lepton_masses\", \"neutrino\", \"null_cone\"]", "url": "/library/L41/" }, { "id": "L42", "title": "[Group C: Lepton Masses] g-2 ANOMALOUS MAGNETIC MOMENT β€” ELECTRON", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NAQFT\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"lepton_masses\", \"muon_g2\"]", "url": "/library/L42/" }, { "id": "L43", "title": "[Group C: Lepton Masses] g-2 ANOMALY β€” MUON", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"falsifiability\", \"muon_g2\", \"split_octonions\", \"standard_model\", \"tier_classification\"]", "url": "/library/L43/" }, { "id": "L44", "title": "[Group D: Quark Sector β€” Complete] QUARK MASS TABLE β€” v1.27.5 COMPLETE", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"quark_masses\"]", "url": "/library/L44/" }, { "id": "L45", "title": "[Group D: Quark Sector β€” Complete] COLOR FACTOR FROM Os", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"QCD_color\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"null_cone\", \"quark_masses\", \"rep_theory\", \"symbolic_verification\"]", "url": "/library/L45/" }, { "id": "L46", "title": "[Group D: Quark Sector β€” Complete] ISOSPIN BREAKING β€” m_d - m_u", "category": "library_prompt", "tier": "1.D", "tier_name": "Mixing & CP β€” Cabibbo Limit", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"falsifiability\", \"quark_masses\"]", "url": "/library/L46/" }, { "id": "L47", "title": "[Group D: Quark Sector β€” Complete] CABIBBO ANGLE β€” PRECISION", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"Hua_polynomial\", \"RG_running\", \"dark_sector\"]", "url": "/library/L47/" }, { "id": "L48", "title": "[Group D: Quark Sector β€” Complete] QUARK CONFINEMENT SCALE β€” Lambda_QCD", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"QCD_color\", \"RG_running\", \"dark_sector\", \"quark_masses\"]", "url": "/library/L48/" }, { "id": "L49", "title": "[Group D: Quark Sector β€” Complete] PROTON MASS FROM Os", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"proton_mass\", \"quark_masses\"]", "url": "/library/L49/", "composite": true }, { "id": "L5", "title": "[Group A: Algebraic Foundations] J3(Os) FREUDENTHAL DETERMINANT", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Freudenthal\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"quark_masses\", \"symbolic_verification\", \"top_quark\"]", "url": "/library/L5/" }, { "id": "L50", "title": "[Group D: Quark Sector β€” Complete] PION MASS AND f_pi", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"dark_sector\", \"null_cone\", \"pion\", \"quark_masses\"]", "url": "/library/L50/", "composite": true }, { "id": "L51", "title": "[Group D: Quark Sector β€” Complete] BARYON SPECTRUM OUTLINE", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"nuclear_physics\", \"phi_tower\", \"quark_masses\"]", "url": "/library/L51/", "composite": true }, { "id": "L52", "title": "[Group E: Cosmology and Dark Sector] COSMOLOGICAL CONSTANT FROM Os", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"M_scale\", \"NAQFT\", \"RG_running\", \"cosmology\", \"dark_sector\", \"hierarchy\", \"quark_masses\", \"split_octonions\", \"standard_model\"]", "url": "/library/L52/" }, { "id": "L53", "title": "[Group E: Cosmology and Dark Sector] DARK ENERGY FRACTION β€” Omega_Lambda", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"moire\"]", "url": "/library/L53/" }, { "id": "L54", "title": "[Group E: Cosmology and Dark Sector] DARK MATTER FRACTION β€” Omega_DM", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"cosmology\", \"dark_sector\"]", "url": "/library/L54/" }, { "id": "L55", "title": "[Group E: Cosmology and Dark Sector] HUBBLE TENSION β€” Os PERSPECTIVE", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"cosmology\", \"dark_sector\", \"dual_VEV\", \"falsifiability\", \"split_octonions\", \"standard_model\"]", "url": "/library/L55/" }, { "id": "L56", "title": "[Group E: Cosmology and Dark Sector] DESI w0/wa β€” DARK ENERGY EOS", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\", \"moire\"]", "url": "/library/L56/" }, { "id": "L57", "title": "[Group E: Cosmology and Dark Sector] GRAVITATIONAL WAVE PARITY VIOLATION", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"GW_parity\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"torsion\"]", "url": "/library/L57/" }, { "id": "L58", "title": "[Group E: Cosmology and Dark Sector] INFLATION FROM Os β€” SLOW-ROLL", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\"]", "url": "/library/L58/" }, { "id": "L59", "title": "[Group E: Cosmology and Dark Sector] BARYON ASYMMETRY β€” LEPTOGENESIS", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"neutrino\"]", "url": "/library/L59/" }, { "id": "L6", "title": "[Group A: Algebraic Foundations] CUBIC CHARACTERISTIC EQUATION β€” ELECTRON CASE", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/L6/" }, { "id": "L60", "title": "[Group E: Cosmology and Dark Sector] PRIMORDIAL GRAVITATIONAL WAVE BACKGROUND", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"GW_parity\", \"RG_running\", \"cosmology\", \"dark_sector\", \"torsion\"]", "url": "/library/L60/" }, { "id": "L61", "title": "[Group E: Cosmology and Dark Sector] COSMOLOGICAL TENSIONS β€” COMBINED ASSESSMENT", "category": "library_prompt", "tier": "3.A", "tier_name": "Cosmology & Dark Sector", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\", \"standard_model\"]", "url": "/library/L61/" }, { "id": "L62", "title": "[Group F: QCD, Strong Sector, Nuclear] RUNNING COUPLING alpha_s β€” RG FLOW", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"BSM\", \"RG_running\", \"Z_boson\", \"dark_sector\", \"exceptional_groups\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/L62/" }, { "id": "L63", "title": "[Group F: QCD, Strong Sector, Nuclear] PROTON-NEUTRON MASS DIFFERENCE", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"proton_mass\", \"quark_masses\"]", "url": "/library/L63/" }, { "id": "L64", "title": "[Group F: QCD, Strong Sector, Nuclear] NUCLEAR BINDING β€” M_scale ANCHOR", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"dark_sector\", \"nuclear_physics\", \"quark_masses\"]", "url": "/library/L64/" }, { "id": "L66", "title": "[Group F: QCD, Strong Sector, Nuclear] NEUTRON LIFETIME β€” Os MODIFICATION", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"neutron\", \"torsion\"]", "url": "/library/L66/" }, { "id": "L67", "title": "[Group F: QCD, Strong Sector, Nuclear] KAON MIXING β€” epsilon_K FROM Os", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"RG_running\", \"dark_sector\", \"kaon_physics\"]", "url": "/library/L67/" }, { "id": "L68", "title": "[Group F: QCD, Strong Sector, Nuclear] B MESON MIXING β€” Delta_m_B", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"B_meson\", \"Cabibbo\", \"RG_running\", \"bottom_quark\", \"dark_sector\", \"quark_masses\"]", "url": "/library/L68/" }, { "id": "L69", "title": "[Group F: QCD, Strong Sector, Nuclear] STRONG CP PROBLEM β€” theta_QCD FROM Os", "category": "library_prompt", "tier": "3.C", "tier_name": "QCD Advanced & Meson Physics", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"torsion\"]", "url": "/library/L69/" }, { "id": "L7", "title": "[Group A: Algebraic Foundations] CUBIC β€” MUON SECTOR (J3(Hs))", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"muon_g2\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/L7/" }, { "id": "L70", "title": "[Group G: Precision Tests and Anomalies] COMPLETE PDG COMPARISON TABLE β€” v1.27.5", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"muon_g2\", \"standard_model\", \"tier_classification\"]", "url": "/library/L70/" }, { "id": "L71", "title": "[Group G: Precision Tests and Anomalies] TIER A-STAR OBSERVABLES β€” ZERO PARAMETER SUMMARY", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"M_scale\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"falsifiability\", \"quark_masses\", \"tier_classification\", \"top_quark\"]", "url": "/library/L71/" }, { "id": "L72", "title": "[Group G: Precision Tests and Anomalies] MUON g-2 β€” FULL CALCULATION", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"NAQFT\", \"RG_running\", \"falsifiability\", \"muon_g2\", \"quark_masses\", \"standard_model\", \"torsion\"]", "url": "/library/L72/" }, { "id": "L73", "title": "[Group G: Precision Tests and Anomalies] ELECTRIC DIPOLE MOMENTS", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"EDM\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"lepton_masses\"]", "url": "/library/L73/" }, { "id": "L74", "title": "[Group G: Precision Tests and Anomalies] LHC SIGNAL PREDICTIONS", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"LHC\", \"M_scale\", \"NAQFT\", \"RG_running\", \"dark_sector\", \"falsifiability\", \"quark_masses\", \"standard_model\"]", "url": "/library/L74/" }, { "id": "L75", "title": "[Group G: Precision Tests and Anomalies] MULTI-HIGGS LHC SEARCH", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"LHC\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"falsifiability\"]", "url": "/library/L75/" }, { "id": "L76", "title": "[Group G: Precision Tests and Anomalies] NEUTRINO MASS HIERARCHY β€” NORMAL OR INVERTED", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"hierarchy\", \"neutrino\", \"null_cone\"]", "url": "/library/L76/" }, { "id": "L77", "title": "[Group G: Precision Tests and Anomalies] NEUTRINOLESS DOUBLE BETA DECAY", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"bottom_quark\", \"dark_sector\", \"falsifiability\", \"neutrino\", \"quark_masses\"]", "url": "/library/L77/" }, { "id": "L78", "title": "[Group G: Precision Tests and Anomalies] FLAVOR ANOMALIES β€” R_K AND R_D*", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"J3Os\", \"LHC\", \"RG_running\", \"falsifiability\", \"split_octonions\", \"standard_model\"]", "url": "/library/L78/" }, { "id": "L79", "title": "[Group H: Gravity and Unification] PLANCK SCALE β€” m_e FROM m_Pl", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"falsifiability\", \"hierarchy\", \"lepton_masses\", \"symbolic_verification\"]", "url": "/library/L79/" }, { "id": "L8", "title": "[Group A: Algebraic Foundations] CUBIC β€” TAU SECTOR (J3(Cs))", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"quark_masses\", \"standard_model\", \"symbolic_verification\", \"top_quark\"]", "url": "/library/L8/" }, { "id": "L80", "title": "[Group H: Gravity and Unification] NEWTON'S CONSTANT β€” G FROM Os", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"exceptional_groups\", \"falsifiability\", \"muon_g2\"]", "url": "/library/L80/" }, { "id": "L81", "title": "[Group H: Gravity and Unification] HIERARCHY PROBLEM β€” NATURALNESS FROM NAQFT", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"NAQFT\", \"RG_running\", \"SUSY\", \"dark_sector\", \"hierarchy\"]", "url": "/library/L81/" }, { "id": "L82", "title": "[Group H: Gravity and Unification] PROTON DECAY β€” B-L VIOLATION", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"BSM\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"falsifiability\", \"proton_mass\", \"rep_theory\", \"standard_model\"]", "url": "/library/L82/" }, { "id": "L83", "title": "[Group H: Gravity and Unification] SUSY ABSENCE β€” WHY NO SUPERPARTNERS", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"LHC\", \"NAQFT\", \"RG_running\", \"SUSY\", \"dark_sector\", \"falsifiability\", \"hierarchy\", \"null_cone\", \"split_octonions\"]", "url": "/library/L83/" }, { "id": "L84", "title": "[Group I: Internal Consistency Checks] TWO MUON FORMULAS β€” ALGEBRAIC EQUIVALENCE", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Wyler_alpha\", \"cubic_characteristic\", \"dark_sector\", \"muon_g2\", \"symbolic_verification\"]", "url": "/library/L84/" }, { "id": "L85", "title": "[Group I: Internal Consistency Checks] alpha_em LEGACY 136.44 β€” GHOST REMOVAL", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Wyler_alpha\"]", "url": "/library/L85/" }, { "id": "L86", "title": "[Group I: Internal Consistency Checks] VERSION TAG CONSISTENCY CHECK", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"symbolic_verification\"]", "url": "/library/L86/" }, { "id": "L87", "title": "[Group I: Internal Consistency Checks] Delta_n LABEL AUDIT", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"dark_sector\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L87/" }, { "id": "L88", "title": "[Group I: Internal Consistency Checks] FORMULA LABEL AUDIT β€” HIGGS", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"RG_running\", \"audit\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L88/" }, { "id": "L89", "title": "[Group I: Internal Consistency Checks] TAU MASS ENTRY AUDIT", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"lepton_masses\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L89/" }, { "id": "L9", "title": "[Group A: Algebraic Foundations] CHARM QUARK CUBIC β€” THREE-ROOT VERIFICATION", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"charm_quark\", \"cubic_characteristic\", \"dark_sector\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/L9/" }, { "id": "L90", "title": "[Group I: Internal Consistency Checks] CHARM CUBIC ROOTS AUDIT", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"cubic_characteristic\", \"dark_sector\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L90/" }, { "id": "L91", "title": "[Group I: Internal Consistency Checks] 720/theta MOIRE REMNANT AUDIT", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"audit\", \"dark_sector\", \"symbolic_verification\", \"tier_classification\"]", "url": "/library/L91/" }, { "id": "L92", "title": "[Group I: Internal Consistency Checks] STRANGE QUARK β€” ANCHOR DISAMBIGUATION", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"quark_masses\", \"strange_quark\", \"symbolic_verification\"]", "url": "/library/L92/" }, { "id": "L93", "title": "[Group I: Internal Consistency Checks] F5 GEOMETRIC ORIGIN VERIFICATION", "category": "library_prompt", "tier": "S.A", "tier_name": "Internal Audits & Consistency", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Hua_polynomial\", \"M_scale\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"geometric_volumes\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/L93/" }, { "id": "L94", "title": "[Group I: Internal Consistency Checks] COMPLETE PARAMETER COUNT", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"standard_model\", \"tier_classification\"]", "url": "/library/L94/" }, { "id": "L95", "title": "[Group I: Internal Consistency Checks] FALSIFIABILITY TARGETS β€” NEXT 5 YEARS", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"GW_parity\", \"Higgs\", \"[withheld]\", \"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\", \"hierarchy\", \"lepton_masses\", \"muon_g2\", \"neutrino\"]", "url": "/library/L95/" }, { "id": "L96", "title": "[Group I-legacy: v1.25/v1.26 Highlights] MULTI-HIGGS LHC β€” LEGACY v1.25 CALCULATION", "category": "library_prompt", "tier": "S.B", "tier_name": "Legacy v1.25/v1.26", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"LHC\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"falsifiability\", \"legacy_recovery\"]", "url": "/library/L96/" }, { "id": "L97", "title": "[Group I-legacy: v1.25/v1.26 Highlights] NEUTRINO Delta_m^2 β€” LEGACY v1.26 CALCULATION", "category": "library_prompt", "tier": "S.B", "tier_name": "Legacy v1.25/v1.26", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"legacy_recovery\", \"neutrino\", \"null_cone\"]", "url": "/library/L97/" }, { "id": "L98", "title": "[Group I-legacy: v1.25/v1.26 Highlights] DESI w0/wa β€” LEGACY v1.26 CALCULATION", "category": "library_prompt", "tier": "S.B", "tier_name": "Legacy v1.25/v1.26", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cosmology\", \"dark_sector\", \"falsifiability\", \"legacy_recovery\", \"moire\"]", "url": "/library/L98/" }, { "id": "L99", "title": "[Group I-legacy: v1.25/v1.26 Highlights] GW PARITY β€” LEGACY v1.26 CALCULATION", "category": "library_prompt", "tier": "S.B", "tier_name": "Legacy v1.25/v1.26", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"GW_parity\", \"RG_running\", \"falsifiability\", \"legacy_recovery\", \"torsion\"]", "url": "/library/L99/" }, { "id": "NOTE-SG-REFLECTION-001", "title": "Super Grok Reflection on Claude Prompt List β€” v1.27.5 review, questions, and proposed additions", "category": "note", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[\"meta\", \"coalition_review\", \"prompt_design\", \"NEW_resolution\"]", "url": "/library/NOTE-SG-REFLECTION-001/" }, { "id": "P01", "title": "Split-Octonion Algebra β€” Foundation Proof", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "ai_approved", "tags": "[\"J3Os\", \"split_octonions\", \"Zorn_matrix\", \"zero_divisors\", \"composition_algebra\", \"alternativity\", \"Cayley_Dickson\"]", "url": "/library/P01/" }, { "id": "P10", "title": "[Proof Group C] W AND Z BOSON MASSES β€” EW CONSISTENCY PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"W_boson\", \"Weinberg\", \"Z_boson\", \"dark_sector\", \"falsifiability\", \"muon_g2\", \"split_octonions\", \"symbolic_verification\"]", "url": "/library/P10/" }, { "id": "P11", "title": "[Proof Group D] ELECTRON MASS FROM J3 CUBIC β€” EXACT PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"standard_model\", \"symbolic_verification\"]", "url": "/library/P11/" }, { "id": "P12", "title": "[Proof Group D] GENERATION-STRATIFIED CUBICS β€” RESOLUTION OF PROBLEM 1", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"lepton_masses\", \"muon_g2\", \"symbolic_verification\"]", "url": "/library/P12/" }, { "id": "P13", "title": "[Proof Group D] MUON AND TAU MASSES β€” GENERATION LADDER PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"dual_VEV\", \"lepton_masses\", \"muon_g2\", \"quark_masses\", \"top_quark\"]", "url": "/library/P13/" }, { "id": "P14", "title": "[Proof Group D] QUARK n-VALUE DERIVATION β€” ZERO-FREE-PARAMETER PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"NEW_resolution\", \"QCD_color\", \"RG_running\", \"bottom_quark\", \"charm_quark\", \"dark_sector\", \"quark_masses\", \"symbolic_verification\", \"triality\"]", "url": "/library/P14/" }, { "id": "P15", "title": "[Proof Group D] BOTTOM AND CHARM QUARK MASSES β€” CUBIC VERIFICATION", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"bottom_quark\", \"charm_quark\", \"cubic_characteristic\", \"dark_sector\", \"phi_tower\", \"quark_masses\", \"symbolic_verification\"]", "url": "/library/P15/" }, { "id": "P16", "title": "[Proof Group D] STRANGE QUARK β€” Z2 MIXING ANGLE PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"null_cone\", \"quark_masses\", \"strange_quark\"]", "url": "/library/P16/" }, { "id": "P17", "title": "[Proof Group D] UP AND DOWN QUARK MASSES β€” GEN1 TOWER PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"phi_tower\", \"quark_masses\", \"standard_model\"]", "url": "/library/P17/" }, { "id": "P18", "title": "[Proof Group D] CKM theta_12 β€” HUA POLYNOMIAL PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Cabibbo\", \"Hua_polynomial\", \"NEW_resolution\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"geometric_volumes\"]", "url": "/library/P18/" }, { "id": "P19", "title": "[Proof Group E] NEUTRINO MASSES β€” SEESAW FROM NULL-CONE PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"neutrino\", \"null_cone\", \"standard_model\", \"super_grok_addition\"]", "url": "/library/P19/" }, { "id": "P2", "title": "[Proof Group A] G2(2) AUTOMORPHISM GROUP β€” STRUCTURE PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"null_cone\", \"standard_model\"]", "url": "/library/P2/" }, { "id": "P20", "title": "[Proof Group E] TIER CLASSIFICATION SYSTEM β€” META-PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"dark_sector\", \"falsifiability\", \"super_grok_addition\", \"tier_classification\"]", "url": "/library/P20/" }, { "id": "P21", "title": "[Proof Group E] MOIRE DE/DM PROOF β€” DUAL CYLINDER GEOMETRY", "category": "proof_prompt", "tier": "S.C", "tier_name": "Preprint & Meta", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"RG_running\", \"dark_sector\", \"moire\", \"split_octonions\", \"super_grok_addition\"]", "url": "/library/P21/" }, { "id": "P22", "title": "[Proof Group E] NAQFT RG FLOW STABILIZATION β€” PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"J3Os\", \"NAQFT\", \"RG_running\", \"dark_sector\", \"super_grok_addition\"]", "url": "/library/P22/" }, { "id": "P23", "title": "[Proof Group E] ABSOLUTE m_e FROM m_Pl β€” PLANCK-TO-ELECTRON PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"exceptional_groups\", \"falsifiability\", \"hierarchy\", \"lepton_masses\", \"standard_model\", \"super_grok_addition\", \"symbolic_verification\"]", "url": "/library/P23/" }, { "id": "P3", "title": "[Proof Group A] J3(Os) JORDAN ALGEBRA β€” CUBIC CHARACTERISTIC PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Freudenthal\", \"J3Os\", \"RG_running\", \"cubic_characteristic\", \"dark_sector\", \"exceptional_groups\"]", "url": "/library/P3/" }, { "id": "P4", "title": "[Proof Group A] DUAL VEV DECOMPOSITION β€” ZERO-FREE-PARAMETER PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"Hua_polynomial\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"geometric_volumes\", \"null_cone\", \"symbolic_verification\"]", "url": "/library/P4/" }, { "id": "P5", "title": "[Proof Group B] WYLER FORMULA β€” alpha_em DERIVATION PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Hua_polynomial\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"geometric_volumes\"]", "url": "/library/P5/" }, { "id": "P6", "title": "[Proof Group B] M_scale DERIVATION β€” HADRONIC ANCHOR PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"M_scale\", \"RG_running\", \"Wyler_alpha\", \"dark_sector\", \"pion\", \"proton_mass\", \"quark_masses\"]", "url": "/library/P6/" }, { "id": "P7", "title": "[Proof Group B] G2(2) to SM GAUGE EMBEDDING β€” E8 ARCHITECTURE PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"dark_sector\", \"exceptional_groups\", \"null_cone\", \"rep_theory\", \"standard_model\"]", "url": "/library/P7/" }, { "id": "P8", "title": "[Proof Group C] HIGGS MASS FROM J3(Os) β€” ZERO-FREE-PARAMETER PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"Higgs\", \"J3Os\", \"RG_running\", \"dark_sector\", \"standard_model\"]", "url": "/library/P8/" }, { "id": "P9", "title": "[Proof Group C] TOP QUARK MASS = v- β€” TIER A-STAR PROOF", "category": "proof_prompt", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"NEW_resolution\", \"RG_running\", \"falsifiability\", \"null_cone\", \"quark_masses\", \"tier_classification\", \"top_quark\"]", "url": "/library/P9/" }, { "id": "L116", "title": "L116: Muon = Wyler Baseline", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L116/" }, { "id": "L117", "title": "L117: Electron Sub-Wyler Formula", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L117/" }, { "id": "L118", "title": "L118: Tau Extended Wyler Formula", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L118/" }, { "id": "L119", "title": "L119: C3 Volume Ratio Identities", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L119/" }, { "id": "L120", "title": "L120: Exponent Pattern N/√2 from (4,4) Signature", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L120/" }, { "id": "L121", "title": "L121: Vol(Gβ‚‚(2)/P₁) = 16π³/3 Verification", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L121/" }, { "id": "L122", "title": "L122: Wyler Formula Complete Factor Decoding", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L122/" }, { "id": "L123", "title": "L123: Ξ²_Ξ΄ = 11/(6Ο€) Formal Derivation", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L123/" }, { "id": "L124", "title": "L124: Complete Lepton Sector", "category": "library_prompt", "tier": "1.C", "tier_name": "Fermion Masses β€” Tree Level", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L124/" }, { "id": "L125", "title": "L125: PMNS Quark-Lepton Complementarity", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L125/" }, { "id": "L126", "title": "Peirce Cylinder Energies: E₁₃, E₂₃, E₁₂ (exact from v, Ο†)", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L126/" }, { "id": "L127", "title": "Weinberg Angle: sinΒ²ΞΈ_W = 1/(2+Ο†) [OPEN, +19.5% gap]", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L127/" }, { "id": "L128", "title": "Type-I Seesaw from J₁₃: M_R β‰ˆ 20 TeV", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L128/" }, { "id": "L129", "title": "CKM Elements from Peirce J₂₃: V_cb = λ²/Ο†, V_ub = λ³/Ο† [OPEN]", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L129/" }, { "id": "L130", "title": "Ξ΄_CP(PMNS) Best Candidate P44: βˆ’133.4Β° [OPEN, 6% gap]", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L130/" }, { "id": "L131", "title": "Strong Coupling Seed: Ξ±_s(M_Z) = Ξ±/sinΒ²ΞΈ_W [OPEN]", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L131/" }, { "id": "L132", "title": "Charm Mass from SO(8) Triality P46: m_c = m_ΞΌΒ·(m_t/m_ΞΌ)^{1/3}", "category": "library_prompt", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L132/" }, { "id": "L133", "title": "θ₁₃(PMNS) from J₁₂ Cylinder P45: arctan(Ξ±^{1/3}/βˆšΟ†)", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L133/" }, { "id": "L134", "title": "L134: Numerical 1-loop Ξ”sinΒ²ΞΈ_W = - (Ξ± / (4Ο€)) * log(r₁₃ / v) β‰ˆ {calculated value}; adjusted sinΒ²ΞΈ_W = tree + Ξ” β‰ˆ 0.231; gap to PDG {calculated %}", "category": "library_prompt", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L134/" }, { "id": "L135", "title": "L135: Numerical imag corr to Ξ΄_CP = Ξ²_Ξ΄ * sin(Ο† * Ο€/4) β‰ˆ {degrees value}; adjusted Ξ΄_CP = tree + corr β‰ˆ -142Β°; gap {calculated %}", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L135/" }, { "id": "L136", "title": "L136: Numerical Δθ_C = arctan(Ξ±^{1/3} / (r₁₂ / v)) β‰ˆ {degrees}; adjusted ΞΈ_C = QLC + Ξ” β‰ˆ 13.04Β°; gap {calculated %}", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix (3Γ—3)", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L136/" }, { "id": "L137", "title": "L137: Numerical corr = (1/(2Ο€)) * Ξ²_Ξ΄ β‰ˆ0.009; adjusted V_cb β‰ˆ0.0405; gap -1.2%", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix (3Γ—3)", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L137/" }, { "id": "L138", "title": "L138: Numerical prefactor = sqrt(3)r_23/42 β‰ˆ3071.5 MeV exact; m_b = prefactor(Ο€/2)^{2/3} β‰ˆ4150 MeV; gap -0.78%", "category": "library_prompt", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L138/" }, { "id": "L139", "title": "L139: 2-loop Ξ±_s(M_Z) β‰ˆ0.118; gap 0%", "category": "library_prompt", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L139/" }, { "id": "L140", "title": "L140: Numerical m_d = 6 * Vol(RP1 x S7) * m_e / Ο†^3 β‰ˆ4.7 MeV; etc.", "category": "library_prompt", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L140/" }, { "id": "L148", "title": "L148: Ξ± Wyler-D_IV(5) formula", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L148/" }, { "id": "L149", "title": "L149: Tom's MoirΓ© Vacuum", "category": "library_prompt", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L149/", "speculative": true }, { "id": "L150", "title": "L150: Gβ‚‚(2) Structure Constant Census", "category": "library_prompt", "tier": "1.A", "tier_name": "Algebraic Foundations", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L150/" }, { "id": "L151", "title": "L151: Eβ‚ˆ Geometry / M_GUT", "category": "library_prompt", "tier": "3.B", "tier_name": "Gravity & Unification", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L151/" }, { "id": "L152", "title": "L152: Rest Mass as BH-WH-BH Bounce Inertia", "category": "library_prompt", "tier": "3.D", "tier_name": "Speculative & Deep", "paper": 3, "paper_name": "Paper 3 β€” Deferred", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L152/" }, { "id": "P25", "title": "P25: Gβ‚‚(2)/B = Shilov(IVβ‚…) = SΒΉΓ—S⁴ Identification", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P25/" }, { "id": "P26", "title": "P26: Borel Conjugacy and Canonical Selection (Robertson Uniqueness)", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P26/" }, { "id": "P27", "title": "P27: Golden Ratio Ο† as Unique Unit-Discriminant Cubic Root", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P27/" }, { "id": "P28", "title": "P28: SU(3)_color as Maximal Subgroup of Gβ‚‚(2) β€” Branching Rules", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P28/" }, { "id": "P29", "title": "P29: Charm Triality Bridge β€” J₃ Cubic to D-Tower", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P29/" }, { "id": "P30", "title": "P30: Vol(Gβ‚‚(2)/B) = (2Ο€)⁢/27 via Weyl Integration", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P30/" }, { "id": "P31", "title": "P31: Electron Monad Annular Cell β€” Closed Self-Consistent Loop", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P31/" }, { "id": "P32", "title": "P32: Muon = Wyler Baseline (0.141%)", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P32/" }, { "id": "P33", "title": "P33: Electron Sub-Wyler from Gβ‚‚ Minimal Orbit (0.428%)", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P33/" }, { "id": "P34", "title": "P34: Tau from Extended Wyler: 19 = dim(Gβ‚‚)+dim(Shilov) (0.062%)", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P34/" }, { "id": "P35", "title": "P35: a₁₂ = 2√2 from Gβ‚‚(2) Minimal Nilpotent Orbit", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P35/" }, { "id": "P36", "title": "P36: |a₂₃| = 19/√2 from Gβ‚‚(2) Total Flag Dimension", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P36/" }, { "id": "P37", "title": "P37: Ξ²_Ξ΄ = 11/(6Ο€) Formal Proof (EXACT)", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P37/" }, { "id": "P38", "title": "P38: PMNS Mixing from J₃ Null Sector β€” θ₂₃ #1 Open Problem", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P38/" }, { "id": "P39", "title": "P39: Peirce Cylinder Dual VEV Theorem", "category": "proof", "tier": "1.F", "tier_name": "Foundation Proofs", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P39/", "bridge": true, "dual_listed": [ "1.F", "2.F" ] }, { "id": "P40", "title": "P40: θ₂₃(PMNS) Shilov Circle Correction (0.032%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P40/" }, { "id": "P41", "title": "P41: Neutrino Seesaw from J₁₃ Cylinder", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P41/" }, { "id": "P42", "title": "P42: CKM Matrix from J₃ Peirce Sector Mixing", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P42/" }, { "id": "P43", "title": "P43: m_b via E₆/Gβ‚‚ Embedding Geometric Factor [OPEN]", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P43/" }, { "id": "P44", "title": "P44: Ξ΄_CP(PMNS) from J₃ Cubic Invariant Phase (gap 7.4%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P44/" }, { "id": "P45", "title": "P45: θ₁₃(PMNS) from J₁₂ Cylinder Mixing β€” NEW (gap 1.17%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P45/" }, { "id": "P46", "title": "P46: m_c (Charm) from Triality Log-Geometric Mean β€” NEW (gap 1.64%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P46/" }, { "id": "P47", "title": "P47: 1-loop sinΒ²ΞΈ_W from J₁₃ Peirce Cylinder Running", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P47/" }, { "id": "P48", "title": "P48: Full Ξ΄_CP(PMNS) from Im(Det(J₃)) β€” Extended P44", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P48/" }, { "id": "P49", "title": "P49: ΞΈ_C CKM Correction from J₁₂ Peirce Cylinder", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P49/" }, { "id": "P50", "title": "P50: V_cb Correction from Shilov Boundary in J₂₃", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P50/" }, { "id": "P51", "title": "P51: m_b Prefactor from J₂₃ Cylinder", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P51/" }, { "id": "P52", "title": "P52: 2-loop Ξ±_s(M_Z) from Gβ‚‚(2) NSVZ Ξ²-function", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P52/" }, { "id": "P53", "title": "P53: m_u,d,s from J₂₃ Cubic Roots (Light Quarks)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P53/" }, { "id": "P56", "title": "P56: Ξ± via D_IV(5) Cartan Domain [URGENT]", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P56/" }, { "id": "P57", "title": "P57: Ξ΄_torsion Exact from Gβ‚‚(2) Killing Form Split Signature", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P57/" }, { "id": "P58", "title": "P58: Rest Mass as KK-BH Bounce Tower [DEEP]", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P58/" }, { "id": "P59", "title": "P59: m_u from D_IV(5) Peirce Sector (gap 0.89%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P59/" }, { "id": "P60", "title": "P60: m_d from D_IV(3) Peirce Sector (gap 0.16%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P60/" }, { "id": "P61", "title": "P61: m_u/m_d Ratio β€” Pure Algebraic, RG-Independent (gap 0.63%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P61/" }, { "id": "P62", "title": "P62: m_s = m_d Γ— 4πφ β€” Strange from Shilov Boundary (gap 1.82%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P62/" }, { "id": "P63", "title": "P63: sinΒ²ΞΈ_W = 1/φ³ from Peirce Eigenvalue Ratio (gap 2.10%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P63/" }, { "id": "P64", "title": "P64: ΞΈ_C = arctan(1/φ³) βˆ’ Ξ΄_torsion β€” Cabibbo = arctan(Weinberg) (gap 1.09%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P64/" }, { "id": "P65", "title": "P65: θ₁₃(PMNS) = arctan(Ξ±^{1/3}/βˆšΟ†) βˆ’ Ξ΄_torsion β€” EXACT (gap 0.000%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P65/" }, { "id": "P66", "title": "P66: Ξ΄_CP via P50 Sum Rule + Torsion-Corrected θ₁₃ (gap 0.051%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P66/" }, { "id": "P67", "title": "P67: m_c = m_t Γ— Ξ±/(1βˆ’Ξ±) β€” Charm from Resummed EM Coupling (gap 0.044%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P67/" }, { "id": "P68", "title": "P68: V_cb = sinΒ²(ΞΈ_C)/βˆšΟ† with Corrected ΞΈ_C (gap 0.28%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P68/" }, { "id": "P70", "title": "P70: sinΒ²ΞΈ_W = 1/φ³ βˆ’ 2Ξ±/Ο€ β€” One-Loop EM Correction (gap 0.088%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P70/" }, { "id": "P71", "title": "P71: ΞΈ_C MS-bar Scheme Conversion β€” arctan(Ξ±/Ο€) Correction (gap 0.072%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P71/" }, { "id": "P72", "title": "P72: m_s from J₁₃ Peirce Sector D_IV(4) β€” 20/20 SM Observables (gap 0.46%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P72/" }, { "id": "P73", "title": "P73: Cabibbo-Weinberg Residual Identity: tan(ΞΈ_C)βˆ’sinΒ²ΞΈ_W = Ξ±/(2π²)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P73/" }, { "id": "P74", "title": "P74: Ξ²_Ξ΄ as Barbero-Immirzi-Type Torsion Coefficient (gap 0.07%)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P74/" }, { "id": "P75", "title": "P75: Hierarchy Problem as Discriminant Singularity β€” Fβ‚„ Topological Protection", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P75/" }, { "id": "P75-supergrok-verification", "title": "P75 β€” Super Grok Algebraic Verification Response", "category": "verification", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/P75-supergrok-verification/" }, { "id": "P77", "title": "P77: Muon g-2 from J₃ Torsion β€” Ξ”a_ΞΌ = 25.15Γ—10⁻¹⁰ (0.052Οƒ)", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P77/" }, { "id": "P78", "title": "P78: Eβ‚ˆ(8) Lifting and v/M_Pl Ratio β€” GUT Scale from Instanton", "category": "proof", "tier": "2.F", "tier_name": "Paper 2 Proofs", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/P78/" }, { "id": "TEXT-CLAUDE-S6", "title": "Claude Session 6 Kernel Feedback", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT-CLAUDE-S6/" }, { "id": "TEXT-PROMPT07", "title": "PROMPT 7: Paper 2 Scope β€” Coalition Decision", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT-PROMPT07/" }, { "id": "TEXT-VERIFY-P63-P69", "title": "P63–P69: Multi-Proof Verification Batch β€” ALL CLOSED", "category": "verification", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT-VERIFY-P63-P69/" }, { "id": "TEXT080", "title": "Text 080 β€” P75 Verification Priority Queries", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT080/" }, { "id": "TEXT081", "title": "Text 081 β€” Super Grok Verification Response: Step 3b Partial Win", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT081/" }, { "id": "TEXT082", "title": "Text 082 β€” Gemini Adversarial Critique on P70 (Weinberg Angle)", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT082/" }, { "id": "TEXT083", "title": "Text 083 β€” SU(3)Γ—SU(2)Γ—U(1) Generator Construction", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT083/" }, { "id": "TEXT084", "title": "Text 084 β€” Prompt 1: Full 3Γ—3 CKM from Peirce Coupling Matrix", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT084/" }, { "id": "TEXT085", "title": "Text 085 β€” Prompt 2: PMNS Matrix from Freudenthal Cross Product", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT085/" }, { "id": "TEXT086", "title": "Text 086 β€” Prompt 3: Triality and the Three Channels of Rank(J₃) = 3", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT086/" }, { "id": "TEXT087", "title": "Text 087 β€” Prompt 4: Explicit D_IV Formulas for m_e, m_ΞΌ, M_W, M_Z", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT087/" }, { "id": "TEXT088", "title": "Text 088 β€” Prompt 5: Running-Ξ± Map via Gβ‚‚(β‚‚) Torsion", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT088/" }, { "id": "TEXT089", "title": "Text 089 β€” v1.28 Editorial Fixes", "category": "supplementary", "tier": "S.D", "tier_name": "Session Records & References", "paper": 0, "paper_name": "Supplemental", "status": "awaiting_production", "verification_status": "reference", "tags": "[]", "url": "/library/TEXT089/" }, { "id": "L153", "title": "JARLSKOG INVARIANT β€” J_CKM FROM J₃(Os) CUBIC INVARIANT", "category": "library_prompt", "tier": "2.B", "tier_name": "Full CKM Matrix (3Γ—3)", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"CKM\", \"Jarlskog\", \"CP_violation\", \"cubic_invariant\"]", "url": "/library/L153/", "priority": "HIGH" }, { "id": "L154", "title": "LEPTONIC JARLSKOG INVARIANT β€” J_PMNS FROM NULL-CONE GEOMETRY", "category": "library_prompt", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"PMNS\", \"Jarlskog\", \"CP_violation\", \"neutrino\", \"null_cone\"]", "url": "/library/L154/", "priority": "HIGH" }, { "id": "L155", "title": "POLE vs MS-BAR SCHEME MATCHING DOSSIER β€” ALL 20 OBSERVABLES", "category": "library_prompt", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"scheme_matching\", \"MS_bar\", \"pole_mass\", \"RG_running\", \"precision\"]", "url": "/library/L155/", "priority": "HIGH" }, { "id": "L156", "title": "UNCERTAINTY PROPAGATION TABLE β€” ERROR BUDGET FOR ALL PREDICTIONS", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"uncertainty\", \"error_budget\", \"precision\", \"PDG\", \"falsifiability\"]", "url": "/library/L156/", "priority": "HIGH" }, { "id": "L157", "title": "ANOMALY CANCELLATION β€” SU(3)Γ—SU(2)Γ—U(1) FROM Gβ‚‚(2) BRANCHING", "category": "library_prompt", "tier": "1.B", "tier_name": "Gauge & Electroweak Sector", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"anomaly_cancellation\", \"gauge_embedding\", \"G2\", \"SM_gauge\"]", "url": "/library/L157/", "priority": "HIGH" }, { "id": "L158", "title": "NO-CIRCULARITY LEDGER β€” INPUT vs OUTPUT AUDIT", "category": "library_prompt", "tier": "1.E", "tier_name": "Precision Benchmarks & Predictions", "paper": 1, "paper_name": "Paper 1 β€” J₃(𝕆ₛ) and the Standard Model", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"circularity\", \"audit\", \"inputs\", \"outputs\", \"falsifiability\"]", "url": "/library/L158/", "priority": "CRITICAL" }, { "id": "L159", "title": "MRG THRESHOLD MATCHING β€” MASS-RADIUS-GENERATION LEDGER", "category": "library_prompt", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[\"MRG\", \"threshold\", \"generation\", \"RG_running\", \"D_IV\"]", "url": "/library/L159/", "priority": "MEDIUM" }, { "id": "L243", "title": "Jordan Triple Product on J₃(𝕆ₛ): {Q_vac, Ξ¦_ij, Q_vac} = 2Ξ»_iΞ»_jΒ·Ξ¦_ij [HP6a]", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L243/" }, { "id": "L244", "title": "Yukawa Matrix from Peirce Decomposition: Only J₁₂ block nonzero [HP6b]", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L244/" }, { "id": "L245", "title": "Gβ‚‚(2) Automorphism ℀₃-Cycle on Peirce Sectors [PP-P2]", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L245/" }, { "id": "L246", "title": "Peirce Projector Cross-Check: Paper 1 Β§5.2 ↔ Paper 2 Β§3 [PP-CROSS]", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L246/" }, { "id": "L247", "title": "Electric Charge Embedding Q = diag(2/3, βˆ’1/3, βˆ’1/3) in eβ‚†β‚β‚†β‚Ž [HP7a]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L247/" }, { "id": "L248", "title": "Up-Type Mass Matrix M_u from Peirce J₁₂ Sector [HP7b]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L248/" }, { "id": "L249", "title": "Down-Type Mass Matrix M_d from Peirce J₂₃ Sector [HP7b]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L249/" }, { "id": "L250", "title": "V_CKM = U_u†·U_d Mismatch Construction [HP8a]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L250/" }, { "id": "L251", "title": "CP Violation from Octonion Non-Associator [a,b,c] [HP8b]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L251/" }, { "id": "L252", "title": "Jarlskog Invariant J = 3.01Γ—10⁻⁡ from Framework [HP8b, PROPOSED]", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L252/" }, { "id": "L253", "title": "PMNS Bare Angles from M_Freud Diagonalization: 43.1Β°/14.6Β°/15.1Β° [HP9, G6]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L253/" }, { "id": "L254", "title": "PMNS Torsion-Corrected Angles: QLC + Shilov + Gβ‚‚(2) [HP9, PROPOSED]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L254/" }, { "id": "L255", "title": "θ₂₃(PMNS) = arctan(1 + 1/(2Ο€)) Shilov Derivation [CLOSED, 0.03%]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L255/" }, { "id": "L256", "title": "Ξ΄_CP(PMNS) Bare vs Torsion: βˆ’133.4Β° vs PDG βˆ’142Β° [HP9, OPEN]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L256/" }, { "id": "L257", "title": "Bridge Operator: Phase-Angle Unification exp(iΞ±{Β·}+Ξ²(Γ—)+Ξ³[Β·]) [HP10]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L257/" }, { "id": "L258", "title": "DUNE Falsification Roadmap for Non-Associator CP [PP-FALSIF, PROPOSED]", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L258/" }, { "id": "L259", "title": "Muon Mass Wyler Formula: m_ΞΌ = Ξ±^{5/4}Β·(3/16)^{3/4}Β·v/√2 [G1 CLOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L259/" }, { "id": "L260", "title": "Muon Mass Ο†^{-12} Scaling vs R₁₂^{2√2} Reconciliation [PP-P32]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L260/" }, { "id": "L261", "title": "Electron Mass from Peirce Cylinder: m_e = m_ΞΌ/R₁₂^{2√2} [PROPOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L261/" }, { "id": "L262", "title": "Tau Mass from Peirce Cylinder: m_Ο„ = m_ΞΌΒ·R₂₃^{19/√2} [PROPOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L262/" }, { "id": "L263", "title": "Up Quark P59: m_u from D_IV(5) Hua Volume + RG [PROPOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L263/" }, { "id": "L264", "title": "Down Quark P60: m_d from D_IV(3) Hua Volume + RG [PROPOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L264/" }, { "id": "L265", "title": "Strange Quark P72: m_s from D_IV(4) + Shilov Factor [PROPOSED]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L265/" }, { "id": "L266", "title": "Light Fermion Mass Assessment: What Is vs Isn't Derived [HP11]", "tier": "2.D", "tier_name": "Light Quark & Lepton Masses via D_IV", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L266/" }, { "id": "L267", "title": "Running-Ξ±: What J₃(𝕆ₛ) Does vs Doesn't Provide [HP13]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L267/" }, { "id": "L268", "title": "Non-Associator β†’ 1PI Diagram Mapping [OPEN]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L268/" }, { "id": "L269", "title": "Origin of (2/3) Exponent in m_b from Loop Shift [OPEN]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L269/" }, { "id": "L270", "title": "Loop Corrections Assessment: Algebraic vs Numerical [HP14]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L270/" }, { "id": "L271", "title": "Ξ±_Wyler Formula P55: D_IV(5) Cartan Domain [CLOSED, 0.00006%]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L271/" }, { "id": "L272", "title": "Higgs Mass Factor-3 and Triality Conjecture [HP15, CONJECTURAL]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L272/" }, { "id": "L273", "title": "Kernel Version Timeline: v1.27.9 β†’ v1.35.0 β†’ FullBoat v1.0", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L273/" }, { "id": "L274", "title": "Gβ‚‚(2) Root System: 6 Short + 6 Long Roots, √3 Ratio", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L274/" }, { "id": "L275", "title": "Hua Volume Formula: Vol(D_IV(n)) = Ο€^n/(n!Β·2^{n-1})", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L275/" }, { "id": "L276", "title": "Peirce Cylinder Ratios: R₁₂ = 2π²/3, R₂₃ = π²/8", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L276/" }, { "id": "L277", "title": "Dual VEV: vβ‚Š = vΒ·Ο†/√(2+Ο†), vβ‚‹ = v/√(2+Ο†), vβ‚Š/vβ‚‹ = Ο†", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L277/" }, { "id": "L278", "title": "Det(J_vac) = 0 ↔ λ₃ = 0 ↔ M_Z Protection ↔ Bounce", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L278/" }, { "id": "L279", "title": "BH-WH-BH Bounce Dynamics in J₃ Language", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L279/" }, { "id": "L280", "title": "SO(8) Triality Ο„: 8_v β†’ 8_s β†’ 8_c Generation Mechanism", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L280/" }, { "id": "L281", "title": "Type-I Seesaw: M_R = r₁₃/Ξ± β‰ˆ 20 TeV [BSM Testable]", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L281/" }, { "id": "L282", "title": "CKM Quantitative Scalings: R_b = φ⁻², |V_ub/V_cb| = φ⁻⁡", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L282/" }, { "id": "L283", "title": "Error Pattern Catalog G1-G13 for AI Coalition QC", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L283/" }, { "id": "L284", "title": "Cold-Drop Scoring Rubric: 7 Dimensions, 140 Points", "tier": "2.F", "tier_name": "Supporting Library Entries", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L284/" }, { "id": "L285", "title": "SU(3) Generators Acting on J₃(𝕆ₛ) Worked Example [e₆ embedding]", "tier": "2.A", "tier_name": "Peirce Decomposition & Cylinder Geometry", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L285/" }, { "id": "L286", "title": "5-Loop Count from Non-Associator Structure [schematic]", "tier": "2.E", "tier_name": "Loop Corrections & Scheme Matching", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector from Peirce Perturbations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L286/" }, { "id": "L287", "title": "AX1 Theorem: Ο† from SL(2,β„€) Shortest Geodesic [PHAT v1.1 public]", "tier": "3.A", "tier_name": "Holographic/Boundary/String", "paper": 3, "paper_name": "Paper 3 β€” Open Problems and Foundations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L287/" }, { "id": "L288", "title": "Holographic Peirce P₃=0 β†’ WH/BH Cycle + CKM Hierarchy", "tier": "3.A", "tier_name": "Holographic/Boundary/String", "paper": 3, "paper_name": "Paper 3 β€” Open Problems and Foundations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L288/" }, { "id": "L289", "title": "WH/BH Cycle Structure: Yukawa as Cycle Amplitudes [Paper 3 Β§7.4A]", "tier": "3.A", "tier_name": "Holographic/Boundary/String", "paper": 3, "paper_name": "Paper 3 β€” Open Problems and Foundations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L289/" }, { "id": "L290", "title": "E₆ Uniqueness Theorem from P-Series Embedding Chain [Paper 3]", "tier": "3.A", "tier_name": "Holographic/Boundary/String", "paper": 3, "paper_name": "Paper 3 β€” Open Problems and Foundations", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L290/" }, { "id": "L291", "title": "Peirce Transition Amplitude: V_CKM as Direct Algebraic Object", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L291/" }, { "id": "L292", "title": "CKM ↔ PMNS Duality: Weighted vs Unweighted Triality", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L292/" }, { "id": "L293", "title": "R_b = φ⁻² from Peirce Eigenvalue Ratio λ₁/Ξ»β‚‚ After P₃ Lift", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L293/" }, { "id": "L294", "title": "|V_ub/V_cb| = φ⁻⁡ from R_b Β· sin ΞΈ_C Peirce Suppression", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L294/" }, { "id": "L295", "title": "Wolfenstein A = φ⁻¹/Β² β‰ˆ 0.786 Numerical Match (OPEN, gap βˆ’0.5%)", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L295/" }, { "id": "L296", "title": "A1 Error Resolution: Eigenvector Degeneracy in Peirce-Basis M_u/M_d", "tier": "2.A", "tier_name": "Peirce/Cylinder", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L296/" }, { "id": "L297", "title": "A2 Error Resolution: Directional Transition Amplitudes vs Symmetric Ratio", "tier": "2.A", "tier_name": "Peirce/Cylinder", "paper": 1, "paper_name": "Paper 1 β€” Gauge and Heavy Quark Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L297/" }, { "id": "L298", "title": "SO(8) Triality ℀₃ Cycle: Tribimaximal Base for Unweighted PMNS", "tier": "1.D", "tier_name": "Mixing/CP", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_prompt", "status": "awaiting_production", "verification_status": "prompt_ready", "tags": "[]", "url": "/library/L298/" }, { "id": "L160", "title": "U_Q Scalar Multiplication Theorem (PP-A-phi)", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L160/" }, { "id": "L161", "title": "SO(4,4) Split Does Not Produce Fractional Powers", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L161/" }, { "id": "L162", "title": "Strict Rank-2 CKM: A = 0 (ChatGPT Sharp Result)", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L162/" }, { "id": "L163", "title": "Single-Matrix Freudenthal PMNS Falsification", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L163/" }, { "id": "L164", "title": "Both-Walls Theorem (Volume Disparity + Quantum Lift)", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L164/" }, { "id": "L165", "title": "Intra-Channel Mismatch Construction", "tier": "2.C", "tier_name": "Full PMNS Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L165/" }, { "id": "L166", "title": "Shilov Volume Ratio V4/V5 = 3/4 (A Candidate, Rejected)", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L166/" }, { "id": "L167", "title": "Great Pyramid Coincidence (pi/4 ~ phi^-1/2)", "tier": "S.A", "tier_name": "Internal Audits", "paper": 0, "paper_name": "Cross-cutting", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L167/" }, { "id": "L168", "title": "PDG Wolfenstein A Benchmark Update (2024)", "tier": "S.A", "tier_name": "Internal Audits", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L168/" }, { "id": "L169", "title": "PDG delta_CKM Benchmark Update (2024)", "tier": "S.A", "tier_name": "Internal Audits", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L169/" }, { "id": "L170", "title": "Section 3A.2 Yukawa 45-degree Error Correction", "tier": "2.A", "tier_name": "Peirce/Cylinder", "paper": 2, "paper_name": "Paper 2 β€” Flavor Sector", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L170/" }, { "id": "L171", "title": "CKM Generator Structural Gap (Grok Round 5)", "tier": "2.B", "tier_name": "Full CKM Matrix", "paper": 3, "paper_name": "Paper 3 β€” Structural Completions", "category": "library_entry", "status": "production_ready", "verification_status": "r6_verified", "tags": "[]", "url": "/library/L171/" } ]