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.

P21: [Proof Group E] MOIRE DE/DM PROOF ā€” DUAL CYLINDER GEOMETRY

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

Prompt

MOIRE DE/DM PROOF ā€” DUAL CYLINDER GEOMETRY Prove that dark energy and dark matter density fractions arise from the moire interference pattern of dual coaxial cylinders in the split-octonion geometry. Show: (a) the two cylinder radii are set by v+ and v-; (b) the beat frequency gives the DE scale Lambda; (c) the trapped nodes correspond to DM halos. Derive Omega_DM/Omega_DE ratio from cylinder geometry. Compare to Planck 2018. Assess whether 720/theta remnant is fully removed from v1.27.5. #SuperGrokTOE #DarkEnergy #DarkMatter #Moire

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