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.

P11: [Proof Group D] ELECTRON MASS FROM J3 CUBIC — EXACT PROOF

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

Prompt

ELECTRON MASS FROM J3 CUBIC — EXACT PROOF Prove that m_e arises as the unique real positive root of the J3(Os) cubic characteristic equation evaluated at the electron sector (Gen1). Show: (a) discriminant Delta > 0 for electron (three real roots); (b) the smallest positive root = m_e ~ 0.511 MeV; (c) the identification of the other two roots with nu_e and a mixing state. Verify via SymPy. Rate peer-review readiness. #SuperGrokTOE #ElectronMass #Cubic

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