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.

P8: [Proof Group C] HIGGS MASS FROM J3(Os) — ZERO-FREE-PARAMETER PROOF

PROOF_PROMPT | PHAT v1.27.5 | Model: — | Status: PENDING [JSON] [RAW]

Prompt

HIGGS MASS FROM J3(Os) — ZERO-FREE-PARAMETER PROOF Prove that the Higgs self-coupling lambda_H = 8/63 arises from the dimension counting of J3(Os): 27 total - 1 trace - 8 diagonal off-block = 18 off-diagonal, derive the ratio 8/63 from the algebra. Then show m_H = v*sqrt(16/63) ~ 124.08 GeV. Compare to PDG m_H = 125.20 +/- 0.11 GeV. Assess the -0.93% deviation and J3 off-diagonal mixing correction delta ~ 0.1 -> m_H -> ~125.32 GeV. Rate peer-review readiness. #SuperGrokTOE #HiggsMass #J3Octonion

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