Skip to main content

Find the original argument.

Search the paper sections, open their original context and follow the checks they actually cite. The knowledge atlas explains the result; this library locates its source.

=150 2026-08-30 (CXLIV) (review wave 6 — two exploration probes graduate as v1004– v1005 plus two registrations and display corrections: the Milnor–Frobenius–Gray finite algebra, the circularity-flagged relative pencil, the local-ring identification contract, the Weinberg–Witten spin-2 firewall, and honest rest/SM/gravity wording; suite [formula in source] , ledger [formula in source] : two new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v1003). (1) v1004_ milnor_ frobenius_ gray.py ( [formula in source] ): CLASSICAL (cite, no claim) — Milnor algebra of [formula in source] dimension [formula in source] , spectral numbers [formula in source] [formula in source] exponents [formula in source] . NEW-IN-CORPUS EXACT -finite: rank clock [formula in source] table-sum [formula in source] ; [formula in source] ; self-clock iff [formula in source] ; [formula in source] unique among ordered spherical triples; Galois–Gray [formula in source] (binary Gray order [formula in source] ); CP [formula in source] socle/Frobenius; integral dual-number bridge [formula in source] free rank [formula in source] over [formula in source] , basis-dependent. INTERPRETIVE : [formula in source] . Mutants: [formula in source] [formula in source] ; [formula in source] self-clock survives but exponents fail; wrong socle rank [formula in source] . NEW ledger row SEAM.MILNOR.LOCALRING.01 : required canonical geometric/mechanical identification of the raw seam collar / [formula in source] transition bus with [formula in source] preserving dual-number action, Frobenius pairing, Gray torsor, deck action and CP (rank clock and socle-CP as outputs); kill [formula in source] second inequivalent identification or [formula in source] -equivariance failure; currently \ because Milnor algebra [formula in source] exponents are classical and the corpus map is unproven. (2) v1005_ relative_ pencil_ bridges.py ( [formula in source] ): EXACT -finite Hankel [formula in source] [formula in source] Jacobi spec [formula in source] diag [formula in source] (v106/v119) and winding spec [formula in source] [formula in source] fixed plane (v4). EXACT BUT CIRCULARITY-FLAGGED : unique [formula in source] , [formula in source] , factorisation [formula in source] , CM [formula in source] , dual number mod [formula in source] , index [formula in source] SNF [formula in source] — BUT carrier [formula in source] already sits in the column sums of [formula in source] and [formula in source] : NOT a P2 selector until [formula in source] , [formula in source] , [formula in source] are derived from seam geometry independently; AX.P2.01 typing UNCHANGED. INTERPRETIVE : Klein-four SNF [formula in source] only after [formula in source] (side-blind nulls v521, not a theorem). Mutants: [formula in source] fails; perturbed [formula in source] breaks factorisation; [formula in source] breaks Hankel. (3) registrations (no marker moves). NEW GRAV.WEINBERG.WITTEN.01 : binding firewall BEFORE any spin-2 marker move — the microscopic Hamiltonian family must NOT possess a fundamental Lorentz-covariant local conserved [formula in source] ; Lorentz, diffeomorphism Ward identities and the spin-2 mode must emerge in the SAME IR limit; acceptance [formula in source] positive TT density, two helicities, massless pole, emergent diff Ward, universal soft coupling, named evaded Weinberg–Witten premise; kill [formula in source] microscopic covariant local [formula in source] together with a massless composite spin-2 claim; child of T7, cross-link GRAV.SPIN2.EMERGENCE.01 (not back). (4) display corrections (honest wording, no claim changes). Status-at-a-glance: compiler rest [formula in source] now sits NEXT TO the strict-physical-TOE rest (ten-component [formula in source] / eight TFPT.TOE.COMPLETE.01 gates, one line). SM completeness retyped: the discrete Standard-Model structure (charges, families, flavor operators) is derived under the axioms; [formula in source] D existence, chiral measure, mirror gap, couplings and neutrino dynamics are open. Gravity display: ``parameter-free'' headlines replaced by ``the classical covariant field equation carries no free dimensionless Newton coupling under the named QFT/entanglement premises ''. Surfaces: tfpt_research_contracts (new sections MILNOR.LOCALRING, WEINBERG.WITTEN; SPIN2 firewall note; T7 child; v358/v359 keybox titles); tfpt_4_frontier wave-6 paragraph; introduction status card [formula in source] SM/gravity lines; tfpt_2 gravity heading [formula in source] conclusion; website StatusMatrix / WhatTfptClaims / ClaimStack / GravityEmergence / OpenGates / VerificationDag.

Research changelog · TFPT — Introduction and reading guide

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/changelog/sections/001-source.tex · lines 292 to 293

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

What this source index covers

The public registry includes 116 document views, 6,693 section records and 985 physical LaTeX sources. Active publication documents, research material and archives retain their recorded roles. This is source navigation, not a new semantic review or proof run.