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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.

Matching source sections

403 sections found. Current publication documents are listed before historical material.

2026-06-28 ( v434 — a third honest step on the [formula in source] Quillen target: [formula in source] is the [formula in source] heat-kernel coefficient, and the three residuals collapse to one [formula in source] [formula in source] one [formula in source] )

Research changelog · TFPT — Introduction and reading guide

New module v434 ( ALPHA.QUILLEN.PROGRESS.03) — it settles the status of the three residuals named after v433 and shows they are not three independent open problems. The target ALPHA.QUILLEN.EXACT.01 ( v382) stays ; [formula in source] stays . \ [formula in source] is the [formula in source] [formula in source] heat-kernel coefficient (the [formula in source] theorem). The one-loop [formula in source] function of a ga

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

Source location and explicit evidence links

documents/changelog/sections/012-source.tex · lines 31 to 65

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

2026-06-27 ( v433 — a second honest step on the [formula in source] Quillen target: a solvable 4D model reaches the [formula in source] order, connecting v391 and v342)

Research changelog · TFPT — Introduction and reading guide

New module v433 ( ALPHA.QUILLEN.PROGRESS.02) — a second honest step on the external target ALPHA.QUILLEN.EXACT.01 ( v382); it grounds and connects, it does not close it. The target stays \ (external math, type A, v384); the value [formula in source] stays . The earlier honest attempt v391 gave a solvable model on a [formula in source] D circle whose [formula in source] -determinant variation reached only the low Seel

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Source location and explicit evidence links

documents/changelog/sections/012-source.tex · lines 66 to 96

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

2026-06-27 ( v431, v432 — the ``unmapped'' [formula in source] degrees are forced spine [formula in source] flavor structure; the unconditional over-determination floor)

Research changelog · TFPT — Introduction and reading guide

New module v431 ( E8.DEGREE.LADDER.01) — the reverse-audit ``unmapped'' [formula in source] Casimir degrees are NOT diffuse overhead but a forced two-family decomposition. The structural complement of the reverse audit ( v354/ v355) and its sheet/deck complement ( v430): [formula in source] . \ the two-family split is forced by [formula in source] — the exponents are the [formula in source] totatives of [formula in s

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Source location and explicit evidence links

documents/changelog/sections/012-source.tex · lines 97 to 132

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

2026-06-27 ( v430 — the seam's ``other side'' is forced-disjoint from [formula in source] 's unmapped Casimir degrees)

Research changelog · TFPT — Introduction and reading guide

New module v430 ( E8.OTHERSIDE.AUDIT.01) — the sheet/deck complement of the reverse audit ( v354/ v355). The reverse audit found five [formula in source] Casimir degrees [formula in source] with no primary readout (``hull overhead''); the double cover has an other side (the one-sided [formula in source] collar / conjugate half-spinor [formula in source] ), so the sharp adversarial follow-up is ``is the leftover where

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Source location and explicit evidence links

documents/changelog/sections/012-source.tex · lines 133 to 161

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

2026-06-26 ( v429 — the `unmapped' golden [formula in source] structure is the geometry of the one external input [formula in source] )

Research changelog · TFPT — Introduction and reading guide

New module v429 ( DM.AXION.PENTAGON.01) — a geometric re-reading answering ``why does so much idle [formula in source] structure exist?'' for the one case where the idle structure has a job. The reverse audit ( v354) had argued the golden ratio [formula in source] is unmapped (it appears only internally — the affine- [formula in source] attractor angle v312, the icosian lattice v348 — and in no physical readout), and

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documents/changelog/sections/012-source.tex · lines 162 to 188

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

2026-06-25 (External-works references appendix — web-verified)

Research changelog · TFPT — Introduction and reading guide

New shared appendix tex-artefacts/tfpt_references.tex (``External works built upon''), input into the six math-heavy documents ( tfpt_1, tfpt_2, tfpt_4, tfpt_horizon_readouts, origin_theory, tfpt_research_contracts). The active papers named the foundational results they build on by author only, with no reference list; the appendix supplies web-verified locators (journal, volume, year / arXiv) grouped by topic: modula

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documents/changelog/sections/012-source.tex · lines 189 to 206

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

2026-06-25 (External AQFT citations [formula in source] the four-fold [formula in source] identity sharpened)

Research changelog · TFPT — Introduction and reading guide

Two recent Adamo–Giorgetti–Tanimoto theorems cited where the keystone builds on them. The open SEAM.EQUIV.01 continuum/realisation legs ( v336) now cite, alongside MMST and Adamo–Moriwaki–Tanimoto ( arXiv:2407.18222, already in use): (a) the construction and classification of two-dimensional conformal nets from even lattices ( arXiv:2506.01008, 2025) — ``the lattice is a conformal net'' is a theorem of the same opera

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documents/changelog/sections/012-source.tex · lines 207 to 227

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  • explicit script identifier v336_continuum_limit.py

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  • explicit script identifier v424_seam_lto_rp_reduction.py

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  • explicit script identifier v422_galois_net_bridge.py

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  • explicit script identifier v428_overdet_reclass.py

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  • explicit script identifier v429_axion_pentagon_phi.py

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2026-06-25 ( v428 — honest self-correction of the over-determination map)

Research changelog · TFPT — Introduction and reading guide

v428 ( OVERDET.WITNESS.RECLASS.01) — applying v427's own multiply-vs-compress test to v427 itself. A pattern search and the right objection exposed that calling the seven arithmetic witnesses ``disjoint grammars that multiply'' overstates independence. \ by the Brieskorn classification ( v236) the [formula in source] singularity is the ONE generator behind the order- [formula in source] clock (Milnor [formula in sour

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documents/changelog/sections/012-source.tex · lines 228 to 248

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

2026-06-25 (Safeguards visuals [formula in source] paper expansion [formula in source] the website safeguards band)

Research changelog · TFPT — Introduction and reading guide

Five safeguards figures ( make_figures.py, in manifest.sha256): the layered defense, the [formula in source] uniqueness scan (one [formula in source] variant of [formula in source] in the CODATA window), the reverse audit ( [formula in source] vs [formula in source] ), the witness-independence map (seven disjoint grammars), and the look-elsewhere null model ( [formula in source] vs [formula in source] ). tfpt_safegua

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documents/changelog/sections/012-source.tex · lines 249 to 267

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

2026-06-25 (Three closure-strategy modules v425– v427 [formula in source] the Safeguards paper)

Research changelog · TFPT — Introduction and reading guide

v425 ( DYN.TRANSFER.UNIVERSAL.01) — the single-flow reduction of [formula in source] . The four frontier transfers do not each need a separate external solver: their dynamics is the ONE native flow (the seam modular/recovery semigroup, v238/ v240, gap [formula in source] ) restricted to each sector. \ the v99 Koide generator linearised at [formula in source] has rate [formula in source] , time- [formula in source] co

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documents/changelog/sections/012-source.tex · lines 268 to 304

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

2026-06-25 (The (LTO-RP) reduction of the keystone SEAM.EQUIV.01: v424)

Research changelog · TFPT — Introduction and reading guide

New module v424 ( SEAM.EQUIV.LTORP.01). An honest MMST-style reduction of the one open keystone — SEAM.EQUIV.01's intrinsic Bisognano–Wichmann lemma (the v308/ v309 residual) — to the recent commuting-projector theorem of Naaijkens–Penneys–Wallick ( arXiv:2605.10693, [NPW26]), with the central mapping corrected. \ the [formula in source] clock is a modular symmetry ( [formula in source] , v309/ v199), not the flow —

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documents/changelog/sections/012-source.tex · lines 305 to 328

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  • explicit script identifier v281_holomorphy_modular_data.py

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  • explicit script identifier v199_seam_state_invariance.py

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2026-06-25 (No-Ambient-Dependency: no frozen readout is computed from QG.AMB.01: v423)

Research changelog · TFPT — Introduction and reading guide

New module v423 ( QGAMB.NODEP.01). Sharpens the v369/ v384 prose redundancy (`` QG.AMB.01 is a \ redundancy, not dynamics'') into a machine-checked DAG [formula in source] script fact, told honestly. \ gap-decoupling margin [formula in source] ( [formula in source] ), susceptibility [formula in source] finite (negative control [formula in source] ); \ QG.AMB.01 is a certification sink (every claim that lists it is a

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documents/changelog/sections/012-source.tex · lines 329 to 351

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

2026-06-25 (The Galois [formula in source] Net bridge: v422)

Research changelog · TFPT — Introduction and reading guide

New module v422 ( SEAM.GALOIS.NET.01). The seam [formula in source] is the SAME cyclic [formula in source] as the [formula in source] simple-current glue — not a mere order- [formula in source] coincidence — bridging the Galois gearbox of v419 to [formula in source] / SEAM.EQUIV.01. \ [formula in source] (one Smith invariant factor [formula in source] [formula in source] cyclic, [formula in source] ); [formula in sou

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documents/changelog/sections/012-source.tex · lines 352 to 372

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  • explicit script identifier v419_seam_galois_carrier.py

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  • explicit script identifier v422_galois_net_bridge.py

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2026-06-25 (F_pole external: the Koide source [formula in source] pole transfer is one-loop EM: v420)

Research changelog · TFPT — Introduction and reading guide

New module v420 ( FR.POLE.QED.01). The honest external-physics follow-up to v93 and the clock No-Go: the Koide source [formula in source] pole transfer is a one-loop electromagnetic effect, not an algebraic step. \ Koide [formula in source] is rescaling-invariant ( [formula in source] ), so flavor-universal running leaves it fixed and the source [formula in source] pole shift is purely flavor-split; \ the tree defici

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documents/changelog/sections/013-source.tex · lines 1 to 19

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2026-06-25 (The seam [formula in source] is the carrier's Galois group: v419 [formula in source] figure)

Research changelog · TFPT — Introduction and reading guide

New module v419 ( SEAM.GALOIS.01). A positive resolution of the cyclic/Galois asymmetry ( v409, RES.COXETER.SYMMETRY.01): why the seam [formula in source] sits on the Galois side, not on the cyclic [formula in source] dial. \ [formula in source] is squarefree, so [formula in source] has element orders [formula in source] — no order [formula in source] , so the seam [formula in source] cannot be a rotation hand and is

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documents/changelog/sections/013-source.tex · lines 20 to 44

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  • explicit script identifier v418_cyclotomic_norm_triple.py

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  • explicit script identifier v409_coxeter_prime2_lemma.py

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2026-06-25 (The cyclotomic norm triple [formula in source] the carrier-5 clock: v418)

Research changelog · TFPT — Introduction and reading guide

New module v418 ( ARITH.NORMTRIPLE.01). The carrier split [formula in source] read in the three atom-rings gives [formula in source] (scalaron, [formula in source] , quark numerator), and the carrier- [formula in source] clock missing from v417 is found as the [formula in source] [formula in source] -companion [formula in source] . \ [formula in source] , [formula in source] , [formula in source] (the four primitive

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documents/changelog/sections/013-source.tex · lines 45 to 67

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  • explicit script identifier v418_cyclotomic_norm_triple.py

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  • explicit script identifier v417_eisenstein_cp_operator.py

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2026-06-25 (The Eisenstein/CP operator [formula in source] the order-30 clock: v417)

Research changelog · TFPT — Introduction and reading guide

New module v417 ( DIAMOND.EISEN.01). The hexagonal dual of v415: the [formula in source] flavor side put on operators and unified with the seam into one order- [formula in source] Coxeter clock. \ the family rotation [formula in source] is the order- [formula in source] Eisenstein deck ( [formula in source] , so [formula in source] on the plane [formula in source] ), the order- [formula in source] dual of [formula in

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documents/changelog/sections/013-source.tex · lines 68 to 90

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2026-06-25 (The Gaussian operator [formula in source] the atom trichotomy: v415, v416)

Research changelog · TFPT — Introduction and reading guide

New module v415 ( DIAMOND.GAUSS.01). The square CM-norm dictionary of v222/ v230 is operator-realised, and the [formula in source] deck becomes an intrinsic diamond object. \ the integer commutator [formula in source] has [formula in source] , [formula in source] on the rank- [formula in source] image and [formula in source] — a [formula in source] quarter-turn born from the binary [formula in source] and ternary [fo

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

Source location and explicit evidence links

documents/changelog/sections/013-source.tex · lines 91 to 121

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

2026-06-24 (The sheet generator [formula in source] as a binary internal compiler: v410– v414)

Research changelog · TFPT — Introduction and reading guide

New module v410 ( SHEET.GEN.BINARY.01). The rank- [formula in source] sheet axis [formula in source] of the centered cross ( v95/ v218) is a binary internal compiler: its powers print the carrier spine. \ the closed form [formula in source] (proved by the inductive step [formula in source] ), so [formula in source] ; \ the four bilinear families [formula in source] , [formula in source] , [formula in source] , [formu

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

Source location and explicit evidence links

documents/changelog/sections/013-source.tex · lines 122 to 158

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

2026-06-24 (Two new tracked targets + axion-branch consistency: v408, v409)

Research changelog · TFPT — Introduction and reading guide

New module v408 ( HYP.PHI0.PUNCTURE.01). Names the [formula in source] puncture term [formula in source] as the order- [formula in source] local boundary heat-kernel (Seeley–DeWitt) contact term of the [formula in source] puncture divisor, summed over [formula in source] admissible states — the analytic complement of the icosahedral tree term ( v396). \ the exact split [formula in source] , the puncture count, the cl

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

Source location and explicit evidence links

documents/changelog/sections/013-source.tex · lines 159 to 192

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

  • explicit script identifier v408_phi0_puncture_heatkernel.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join CoxeterPrime2.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v409_coxeter_prime2_lemma.py

    literal short identifier uniquely resolves in local script registry

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • cross reference join AxiomCheck.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v185_axion_relic_solver.py

    literal short identifier uniquely resolves in local script registry

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • explicit script identifier v396_phi0_icosahedral.py

    literal short identifier uniquely resolves in local script registry

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • cross reference join AuditCheck.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • explicit file citation CoxeterPrime2.lean

    literal source filename/path in TeX

  • explicit script identifier v394_coxeter_atoms.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join AuditContract.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v407_dn_pairings_omega.py

    literal short identifier uniquely resolves in local script registry

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.