Publication history: 2026-08-28

Summary

Eight contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v993). (1) v994_ mmst_ criteria_ battery.py (11/11): 5 of 7 MMST identification criteria executed [E]-measured — measured c=8.005 (16 Majorana copies), conformal edge spectrum [0.506,1.516,2.523,3.524], current normalisation k=1.000000000000, sector collapse \det D_8=4\to\det E_8=1, and the flagship: \mu_4/GSO-projected lattice character sums reproduce the (E_8)_1 vacuum character [1,0,248,0,4124,0,34752] three orders deep; C6 is now written out in articles/2026-08-28/psi_lambda_convergence_theorem_en.tex (analytic log coefficient 2/\pi^2=0.20264 vs measured 0.203, 0.18\%); C7 modular invariance stays cited/open. Ledger notes on SEAM.EQUIV.MMST.01 (stays [C]) and SEAM.SIMPLECURRENT.GENERATOR.01 (stays [O]; open rest = C7 + net G2/G3/G4). (2) v995_ kms_ subnet_ rigidity.py (10/10): all 33 v972 mixing directions killed by KMS alone on finite \mathrm{CAR}_8=M_{256}; covariance provably redundant; unique E-invariant crossed-product extension 196608\to 0. SEAM.STATE.RPMIXING.01 finite KMS rigidity [E]; type-III/continuum stays [O]. (3) v996_ gauge_ grammar_ kill.py (17/17): H0 structural kill — negative b_2/b_3 flip the stationary-root signs (SU(2) inverse -151.2, SU(3) -115.9); 64 conventions 0 hits; U(1) control 137.0359992168 survives all mutants; detline curvature \to 2\pi exponentially with rate 0.6936\sim\ln 2 (numerical Bismut–Freed shadow). GAUGE.DETLINE.FIXPOINT.01 naive grammar excluded [E]; genuinely nonabelian structure required — typed; \alpha_s(M_Z) remains an external input; contract stays [O]. (4) v997_ spin2_ smg_ witnesses.py (24/24): Barnes–Rivers quadratic decomposition — R{+}R^2 clean (one massless TT pole, two helicities, scalaron at M_{\mathrm{scal}} exact); the local a_4 Weyl^2 truncation necessarily carries an opposite-residue spin-2 ghost — typed; FK SMG toy: N=8 unique \mathrm{Spin}(7)-singlet ground state, Schmidt rank 1, volume-independent gap 14 at L=1,2,3; N=4 contrast 2^L-degenerate; physical chiral edge keeps \pi/L exactly. GRAV.SPIN2.EMERGENCE.01 quadratic witnesses [E], content pinned on the untruncated form factor; CHIRAL4D.NOMIRROR.01 SMG toy-proved [E], 4D \mathrm{Spin}(10) stays [O]; both contracts stay [O]. Canonical note (not a module) on FLAV.NUSCALE.05: NU_TEXTURE_CENSUS_NULL 0/1607+0/200 — frozen 3\times 3 inventory provably insufficient; mechanism [O]sharpened. Surfaces: tfpt_research_contracts (executed-update paragraphs at MMST/SIMPLECURRENT, RPMIXING, GAUGE.DETLINE.FIXPOINT.01, GRAV.SPIN2.EMERGENCE.01, CHIRAL4D.NOMIRROR.01, ALPHA.QUILLEN rigidity/ln-2 notes); tfpt_2 (census-null note); tfpt_4_frontier + introduction card addendum. Exploration record: articles/2026-08-28/big_picture_simplicity_first_en.md.

Summary

ONE new module v993 plus THREE new [O]contracts plus a v986 motivation retype plus the dual-rest formula; suite 985 \to 986, ledger 1163 \to 1166; NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v992). (1) v993_ minimal_ defect_ selector.py (29/29): the FULL rank-8 ADE census (SNF of Cartan) with cyclic \mathbb Z_4 glue on BOTH factors selects (D_5,A_3) uniquely (D_3\cong A_3 aliases collapsed) — the D{+}A architecture of v624 is an OUTPUT of (rank 8 + cyclic \mathbb Z_4), not an INPUT; kill tests D_4{\oplus}D_4 / A_7{\oplus}A_1 (product 16, fail cyclicity) and the \mathbb Z_3 control E_6{\oplus}A_2; [\lambda]^2=[v] exact (lattice shadow of U^2=(-1)^F); the \mu_4 average is the UNIQUE trace-preserving finite conditional expectation (uniqueness needs the module property; kernel dim 36/720 without it). Ledger notes on AX.P1.01/AX.P2.01: axiom typing UNCHANGED; the equidistribution identification stays the open [C]of v813; cited-not-proved remain c_-=8 and holomorphic uniqueness of (E_8)_1. SEAM.SIMPLECURRENT.GENERATOR.01 canonical status grows the [\lambda]^2=[v] parity-shadow line. (2) Three new research contracts, all [O], no scripts: GAUGE.DETLINE.FIXPOINT.01 (all three gauge couplings as unique stationary points of one nonabelian zeta-det/inflow functional; generalizes ALPHA.QUILLEN.EXACT.01; honest: \alpha_s(M_Z) is currently an external input); GRAV.SPIN2.EMERGENCE.01 (massless transversal spin-2 pole from the same spectral determinant; Einstein equation stays downstream/conditional; GRAV.NONCIRCULAR.01 binding); FTRANSFER.SK.RHO0.01 (cosmological transfers need (S,\rho_0), not W[J] alone; typed candidate \theta_i=3\pi/5, \mu_4 orientation picks k=0; FTRANSFER.GENERATING.01 covers equilibrium only). (3) v986 docstring retype: the \mathrm{Tr}\,I=3 motivation is loose (\mathrm{Spec}(I)=\{1,1,1\}); the operator reading is the Q_+ eigenvalue route \mathrm{Spec}\{1,2,3\}; texture data-constrains-texture; check logic and pass/fail UNCHANGED. (4) Dual rest: introduction status card (and the research-contracts keybox, with a brief frontier mirror) now carries \mathrm{Rest}=v_{\mathrm{geo}}\oplus G_{\mathrm{net}}\oplus F_{\mathrm{transfer}} (compiler) beside \mathrm{Rest}_{\mathrm{TOE}} (strict-physical-TOE accounting of the 2026-08-27/28 contract wave); nothing in the second formula is claimed closed. Exploration not promoted: the wave-3 Quillen zero-mode Gram identity is a reformulation (|\det\mathrm{DFT}_4|=16), not a Quillen-metric object.

Summary

Its four machine-checkable candidate results verified and integrated as FOUR new modules (suite 975 \to 979, ledger 1161 \to 1162: one new row FLAV.NUSCALE.05; three contract rows updated, NO status-marker moves). (1) v983_ simple_ current_ generator.py: the SEAM.SIMPLECURRENT.GENERATOR.01 generator is identified — the glue vector \lambda = (\omega_s, \omega_f) with \|\lambda\|^2 = 2, h_\lambda = 1, order 4 in the discriminant group \mathbb Z_4 \times \mathbb Z_4 of D_5 \oplus A_3; isotropic glue \Rightarrow even unimodular rank-8 overlattice (E_8); coset root census [52, 64, 60, 64] — the odd fusion powers of the ONE class carry the full 128 spinor sector; kill tests (vector-class / mismatched glue) fire; holomorphy shadow \det 1 vs \det D_8 = 4 at the lattice level; the analytic half (G1–G4) stays [O]. (2) v984_ markov_ qca_ dilation.py: the DISCRETE leg of DYN.UNITARY.DILATION.01 realized constructively — the collision step V = C(U_B \otimes I) is exactly unitary, the Stinespring identity \Phi(\rho) = \sum_j P_j U_B \rho U_B^\dagger P_j holds symbolically, \mathrm{diag}\,\Phi(\mathrm{diag}\,p) = Bp and six fresh ancillas give B^6 = T exactly (radius-1 collision band); must-fail fires (|U_B^2|^2 \ne B^2); typed remark AGAINST the review text: a reused mod-3 adder ancilla still reproduces the populations exactly; the continuous Hamiltonian/OS legs stay [O]. (3) v985_ quillen_ channel_ swap.py: the v974 CHANNEL-SWAP face of ALPHA.QUILLEN.EXACT.01 resolved at the finite level by \mu_4-character grading — the deck swap r \to r{+}2 maps the jump spectrum [0,2,4,2] onto the mark pattern |[4,-2,0,-2]| exactly (odd swap fails), the graded \det' difference is c_3-free = \log(\ln 2/4), the channelwise unit ratio is uniform 4/\ln 2; continuum Bismut–Freed, KMS rigidity and the 2^{-4} compensation stay [O]. (4) v986_ nu_ scalaron_ rung.py: the SCALARON-TRACE RUNG M_R = N_{\mathrm{fam}} M_{\mathrm{scal}} = 3 c_3^{7/2} \bar M_{\mathrm{Pl}} = 9.18 \times 10^{13} GeV — a structured point INSIDE the v481 window, -1.8\% from the 1-loop requirement (the review claimed \sim1%; the honest value is 1.8), \sim 20\times sharper than the declined integer rung; exact ladder position 3\sqrt{c_3} = 0.598, 0.26\% from the closed 3/5 Clebsch door — adjacency TYPED, not consumed (v488 killed the Clebsch mechanism; the generation-blind scalaron trace is a different class, itself [O]); kill test \Sigma m_\nu = 0.059 eV; new row FLAV.NUSCALE.05 [C]/[N], no seesaw closure. The remaining review content is typed, not consumed: the axion line (f_a = M_{\mathrm{scal}}/128, \theta_i = 3\pi/5) and the Riemann–Roch carrier ARE the existing v185/v211/v189; the 4D action, chiral measure, OS package, bulk dictionary, determinant-line unification, W[J], transduction matrix and joint likelihood stay open contracts exactly as registered on 2026-08-27. Paper surfaces: tfpt_research_contracts (three executed-update paragraphs), tfpt_2_standard_model (scalaron-trace rung paragraph).