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.

P4: [Proof Group A] DUAL VEV DECOMPOSITION ā€” ZERO-FREE-PARAMETER PROOF

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

Prompt

DUAL VEV DECOMPOSITION ā€” 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

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