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.

P23: [Proof Group E] ABSOLUTE m_e FROM m_Pl ā€” PLANCK-TO-ELECTRON PROOF

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

Prompt

ABSOLUTE m_e FROM m_Pl ā€” PLANCK-TO-ELECTRON PROOF Prove that the electron mass is predicted absolutely from the Planck mass with zero free parameters: m_e = m_Pl / (sqrt(alpha_em) * 10^20) where 10^20 = phi^12 from the Betti numbers of the Calabi-Yau 3-fold CY3 compactification in the E8 gauge sector. Show: (a) phi^12 ~ 10^{2.497}, precision of identification; (b) sqrt(alpha_em) = 1/sqrt(137.036) connects gauge to gravity sector; (c) numerical result: m_e ~ 0.511 MeV from m_Pl = 1.2209e19 GeV. Verify with SymPy. Assess this as the theory's strongest claim. #SuperGrokTOE #ElectronMass #PlanckScale #CY3

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