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.

P5: [Proof Group B] WYLER FORMULA ā€” alpha_em DERIVATION PROOF

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

Prompt

WYLER FORMULA ā€” alpha_em DERIVATION PROOF Prove that the electromagnetic fine-structure constant arises from the G2(2) Haar measure on the Shilov boundary CP2: alpha_em = (9/8pi^4) * (pi^5 / 2^4*5!)^{1/4} ~ 1/137.036. Show: (a) F5=5=dim_R(CP2) is the geometric origin of the 5! factor; (b) the 9/8pi^4 prefactor comes from the G2 volume normalization; (c) numerical result deviates from PDG by +0.0001%. Assess whether this closes conjecture #118 of v1.27.5. #SuperGrokTOE #WylerFormula #FineStructure

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