Library entry, recorded March 2026. This page is a historical record of one AI-coalition exchange under the kernel of its time (PHAT v1.x); the claims and tier words inside it are as they stood then and are not restated to the current state. The suite of record is Rev33.1 (sealed 2026-09-26); read any number here against the scorecard and its reading rule — since Rev29 no row is cited as zero-parameter, and α and the colour real form are declared inputs.

P14: [Proof Group D] QUARK n-VALUE DERIVATION ā€” ZERO-FREE-PARAMETER PROOF

PROOF_PROMPT | PHAT v1.27.5 | Model: ā€” | Status: PENDING [JSON] [RAW]

Prompt

QUARK n-VALUE DERIVATION ā€” ZERO-FREE-PARAMETER PROOF Prove the n-values for the generation ladder D*phi^{-n} arise purely from octonion geometry (resolution to Problem 2): n_b = 7 = dim(Im Os) [bottom, Gen3]; Delta_n = 2 per triality step [each sigma-cycle adds one octonion pair]; n_c = 7+2 = 9 [charm, Gen2]; n_ud = 7+2*3 = 13 [up/down, Gen1]. Show all three n-values follow from one principle: triality stepping on the 7 imaginary directions of Os under G2(2). Verify masses. #SuperGrokTOE #QuarkMasses #nValues

← Back to Library