We state and assemble the framework's central claim: the continuum limit of the torsion-weighted face Laplacian action S = 2 Σ ψ†LTψ on the BCC lattice of truncated octahedra is the Standard Model coupled to general relativity, with gauge group SU (3) ×SU (2) ×U (1), three fermion generations, one Higgs doublet, and all parameters determined by the seven cell integers V, E, F, |Oₕ|, CA, Δ, d = 24, 36, 14, 48, 3, 17, 3. The argument proceeds in five steps: gauge kinetic terms from the 24 triangles and 42 four-cycles of the face graph; the Dirac equation from T₁u Wilson fermions; Yukawa couplings from the torsion cross-block T₂₁ = 2U; spontaneous symmetry breaking forced by the A₂u Tₕex charge −1; and uniqueness of the continuum limit from asymptotic freedom with irrelevant Oₕ artefacts. Symanzik-style matching gives corrections scaling as (E/MP) ² ~ 10⁻³⁵, numerically negligible. Status is declared precisely: the individual step-lemmas are theorem-strength and cite their proofs; the composite five-step statement is a proof-sketch pending external audit. Changes in version 2. 0: torsion operator citations are corrected per Paper #57 v2. 0 (the A₂u charge −1 belongs to Tₕex, the hexagonal-subgraph operator, not to the inter-type operator T, which annihilates A₂u; Sections 4. 2 and 5. 1 updated, no numerical results change), and the status field is clarified: the composite five-step statement is a proof-sketch pending external audit, while the individual step-lemmas remain theorem-strength. Corrections are machine-verified in verifyFtFₐudit₂026-07. py in the repository.
Luke Martin (Sun,) studied this question.