# P5: [Proof Group B] WYLER FORMULA — alpha_em DERIVATION PROOF

**Category:** proof_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

WYLER FORMULA — 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