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 (CXLVIII) (late-evening harvest — thermodynamic-dynamics theorem [formula in source] detline/W-bridge refinements graduate as v1013– v1014; suite [formula in source] , ledger [formula in source] no new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v1012, engine still DEFERRED_NO_ENGINE). (1) v1013_ thermodynamic_ dynamics.py ( [formula in source] ): the mandatory-dynamics leg of QFT4D.LATTICE.FUNDAMENTAL.01 is CLOSED at Hamiltonian-class level. Cited articles/ 2026-08-30/ tfpt_ thermodynamic_ dynamics_ en.tex/ .pdf: uniform Lieb–Robinson bound [formula in source] , [formula in source] , [formula in source] , [formula in source] , [formula in source] ; norm-convergent [formula in source] ; gauge-invariant quasilocal [formula in source] (Gauss caveat resolved on the invariant subalgebra); existence of ground and [formula in source] -KMS states. Numeric twin: measured [formula in source] proved bound; analytic finite-volume bound dominates nested differences at buffers [formula in source] ; [formula in source] mutant ratio [formula in source] ; Gauss-positive control commutes, violating embedding has commutator norm [formula in source] . Remaining: phase uniqueness, limit gap, IR universality. Decision typing UNCHANGED. (2) v1014_ bridge_ refinements.py ( [formula in source] ): finite detline restriction isomorphism VERIFIED ( [formula in source] constancy [formula in source] , conjugation covariance exact, [formula in source] / mirror [formula in source] ); orientation fixes only the conjugate branch ( [formula in source] ); the residual constant [formula in source] is the [formula in source] reference normalization — recorded on ALPHA.QUILLEN.EXACT.01. W-bridge: P-anch DERIVED ( [formula in source] via the winding lock); P-dem PARTIAL (the [formula in source] average annihilates the nontrivial character space); missing object [formula in source] the character-blind determinant-response map — the same MMST/Quillen externalized leg as TEL-B/ALG-EXH/P1. AX.P2.01 stays an axiom. Convergence: every remaining axiom-core and continuum gap now runs through ONE externalized theorem. Surfaces: tfpt_research_contracts executed-update paragraphs; tfpt_4_frontier [formula in source] introduction late-evening note; website papers.ts / 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 284 to 285

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.