# P4: [Proof Group A] DUAL VEV DECOMPOSITION — ZERO-FREE-PARAMETER PROOF

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

## Prompt

DUAL VEV DECOMPOSITION — ZERO-FREE-PARAMETER PROOF
Prove from the Hua polynomial on the Shilov boundary of the exceptional domain that the Higgs VEV v=246.22 GeV splits as: v+ = v*phi/sqrt(2+phi) ~ 209.45 GeV [forward sector], v- = v/sqrt(2+phi) ~ 129.45 GeV [null-cone sector], D = sqrt(v+*v-) ~ 164.66 GeV [confined/dark sector] where phi=(1+sqrt(5))/2. Verify tan(beta) = v+/v- = phi algebraically. Confirm zero free parameters introduced. Rate peer-review status. #SuperGrokTOE #DualVEV