Expositions · Premise notes · PRM-012
PRM-012 · Correspondence map algebra to SM
Register page /premises/PRM-012/ · kind LOADED_CORRESPONDENCE · claims declared to rest on it today: LIB2-002, LIB2-108, LIB2-122
Drafted by the ChatGPT drafting lane (A1634), verified by the house, published under R76, R78 and R81; house insertions are marked. What a premise note is.
Premise
Register kind: LOADED_CORRESPONDENCE. Located suite statement:
The specified correspondence map is itself a chosen (loaded) embedding, not shown to be forced or unique by the algebra
Paper 0 · Declared input and correspondence map · PDF p.2 · p0_framework_foundations.tex:97.
What kind of premise this is
LOADED_CORRESPONDENCE is the register kind and matches the explicit chosen-embedding statement. The suite distinguishes internal economy after the map is granted from derivation of the physical readout. The specified vacuum, Route B, AX6, ordering and Dirac-neutrino choice are named loadings. The records below consume particular attachments; the broad premise does not make every internal algebraic identity depend on phenomenology. Source status words: chosen (loaded) embedding (p0_framework_foundations.tex:97).
Where the suite invokes it
Located invocations in the read excerpts, not an exhaustive full-source-tree census. Pages refer to saved Rev32.7 page-delimited text, not PDF-image authentication.
| # | locator | quote (verbatim, ≤ 30 words) | role | argument |
|---|---|---|---|---|
| 1 | p0_framework_foundations.tex:97Paper 0 · Declared input and correspondence map · PDF p.2 | The specified correspondence map is itself a chosen (loaded) embedding, not shown to be forced or unique by the algebra | STATED | Algebra-to-physics correspondence |
| 2 | p3_ckm_pmns_mixing.tex:582Paper 3 · Mixing summary table · PDF p.55 | physical octant \textsc{Loaded-correspondence} (A1566) | LOAD_BEARING | Physical atmospheric registration |
| 3 | appendix_x_zero_parameter_input_ledger.tex:85Appendix X · Fit-free-interior ledger — Mass anchor · PDF p.322 | re-tiered \textsc{Structural} / \textsc{Loaded-correspondence} / \textsc{Reproduced} | CONDITIONAL | Charged-lepton ratio attachment |
| 4 | appendix_x_zero_parameter_input_ledger.tex:87Appendix X · Fit-free-interior ledger — Mass exponent · PDF p.322 | that it is \emph{the} mass exponent is not, alone, established by it | MENTIONED | Dimension ratio versus mass exponent |
| 5 | p1_peirce_gauge_group.tex:51Paper 1 · Introduction · PDF p.23 | The gauge group is thus \emph{identified} by the algebra as a group-level \emph{input} --- not \emph{produced} by it | CONDITIONAL | B-map compact field assignment |
| 6 | p0_framework_foundations.tex:101Paper 0 · Declared input and correspondence map · PDF p.2 | the derivation of the map itself from a physical readout functor is the program's named head wall | MENTIONED | Physical readout provenance |
Arguments that rest on it
LIB2-002 — CONFIRM. Confirm only the physical atmospheric registration: the internal mismatch theorem does not choose the octant attachment, which the read row explicitly labels Loaded-correspondence. Step locator: p3_ckm_pmns_mixing.tex:582 (LOAD_BEARING).
LIB2-108 — CONFIRM. The record is expressly under the explicit B-map and compact field dictionary. The premise is that chosen correspondence, not a claim that the raw algebra selects the dictionary. This is a hypothesis-level confirmation, not a rerun of all charge placements. Step locator: p1_peirce_gauge_group.tex:51 (CONDITIONAL).
LIB2-122 — CONFIRM. The retained ratio’s physical attachment is expressly Loaded-correspondence. The source separately warns that its dimension ratio alone is not a physical mass exponent; the loaded attachment is what this dependency confirms. Step locator: appendix_x_zero_parameter_input_ledger.tex:85 (CONDITIONAL).
What breaks without it
LIB2-002: the physical octant registration is loaded, while the internal mismatch identity remains separately typed (p3_ckm_pmns_mixing.tex:582). NOT ASSESSED — no unique replacement physical octant is supplied after deleting the registration.
LIB2-108: NOT ASSESSED — its field placements are conditional on the B-map/dictionary, but the supplied print gives no replacement dictionary without that load.
LIB2-122: the physical mass-exponent identification is not established by the dimension ratio alone (appendix_x_zero_parameter_input_ledger.tex:87). The microscopic readout derivation remains the named head wall (p0_framework_foundations.tex:100–103).
Registrar sync
Registrar state after R76, R78 and R82 (S327j, master0e1418ad6501767d). Declared today: LIB2-002, LIB2-108, LIB2-122. The lane's lines below describe the master as it was supplied to the lane (d0aa26db154ff43f), before these changes.
Declared today in the supplied material, Registrar master d0aa26db154ff43f: LIB2-002, LIB2-108, LIB2-122. Supplied transitive-only closure: LIB2-065, LIB2-066, LIB2-067, LIB2-109, LIB2-125, LIB2-126, LIB2-127. It is not itself a new direct-edge declaration. Draft dispositions — CONFIRM: LIB2-002, LIB2-108, LIB2-122. LIB2-065, LIB2-066, LIB2-067, LIB2-109, LIB2-125, LIB2-126 and LIB2-127 are in the supplied closure/candidate set; transitive membership is not turned into duplicate direct proposals. An internal dimension identity or unitary normalization is not, merely by occurring nearby, a use of the chosen physical correspondence.
Tier and what this does not show
A premise is not a result, and invocation count is not importance. An ADD remains a proposal until house verification under R76; a DISPUTE goes to the PI. No record or premise is upgraded, downgraded, or edited. Unlocated dependencies remain unknown.
Sources
TeX: appendix_x_zero_parameter_input_ledger.tex:85; appendix_x_zero_parameter_input_ledger.tex:87; p0_framework_foundations.tex:100–103; p0_framework_foundations.tex:101; p0_framework_foundations.tex:97; p1_peirce_gauge_group.tex:51; p3_ckm_pmns_mixing.tex:582. Registrar: LIB2-002, LIB2-065, LIB2-066, LIB2-067, LIB2-108, LIB2-109, LIB2-122, LIB2-125, LIB2-126, LIB2-127. Premise: PRM-012.
Built by scripts/premise_notes_build.py from Coalition/library/textbook/premise_notes (MANIFEST verified) · Registrar master sha256 e64bfa7ef06444bf9ebd1abb9bf2c9b7562264ad903d1f881f65c38a19ce07be
BUILD_STAMP S328a · 2026-09-11 19:00Z · master e64bfa7ef06444bf · cut 9dcc6ce9a8ee3e02