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.

P7: [Proof Group B] G2(2) to SM GAUGE EMBEDDING ā€” E8 ARCHITECTURE PROOF

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

Prompt

G2(2) to SM GAUGE EMBEDDING ā€” E8 ARCHITECTURE PROOF Prove the two-algebra architecture resolves the rank mismatch: G2(2) (rank 2) cannot contain SM gauge group (rank 4). Resolution: G2(2) = mass/zero-divisor sector; E8 = full gauge sector with branching E8 superset E6xSU(3) superset SO(10) superset SM. Show the embedding chain G2 subset Spin(7) subset Spin(8) subset E8 (Baez 2002). Assess completeness and flag any steps requiring further derivation. #SuperGrokTOE #E8 #GaugeEmbedding

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