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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.

2026-06-23 (Status propagation: the v365– v380 [formula in source] FORM.SEAM.MMST.01 status carried into the remaining papers, the README and the Zenodo description)

Research changelog · TFPT — Introduction and reading guide

Deep-sync of the post-S3 status. The canonical surfaces ( tfpt_status, introduction) were already current; this pass propagated the same honest wording into origin_theory, tfpt_1– tfpt_5, tfpt_research_contracts, the root README.md, the Zenodo description and website/lib/papers.ts: SEAM.EQUIV.01 is closed modulo a cited theorem (lattice v367/ v368 [formula in source] the [formula in source] stack v376– v379 [formula

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Source location and explicit evidence links

documents/changelog/sections/014-source.tex · lines 126 to 139

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

2026-06-23 ( v380 — the KMS Entire Hessian: the Stelle ghost is EXACTLY the Seeley–DeWitt truncation, and resummation pushes it to infinity)

Research changelog · TFPT — Introduction and reading guide

v380 ( GRAV.KMS.HESSIAN.01). Upgrades v304/ v370 from the assumption ``the resummed graviton form factor is entire'' to a derived statement. \ the seam KMS cutoff [formula in source] ( v259) gives the dressed spin-2 propagator [formula in source] with [formula in source] entire and nowhere zero (only the [formula in source] pole). \ each finite Seeley–DeWitt truncation is a Taylor partial sum of [formula in source] a

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Source location and explicit evidence links

documents/changelog/sections/014-source.tex · lines 140 to 153

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

2026-06-23 (Lean: the S3 continuum leg formalised as ``closed modulo a cited theorem'' — FORM.SEAM.MMST.01)

Research changelog · TFPT — Introduction and reading guide

FORM.SEAM.MMST.01 — Lean 4 formalisation. The S3 continuum leg is now machine-formalised in a new module ( SeamScalingLimit.lean), lake build OK and \#print axioms clean, in the audit-contract style of SeamEquivChain.lean. The MMST applicability hypotheses for the seam collar are provable by kernel decide (no axioms): [formula in source] , [formula in source] , the range [formula in source] , [formula in source] , an

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Source location and explicit evidence links

documents/changelog/sections/014-source.tex · lines 154 to 167

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2026-06-23 (S3 closure stack — the target of the seam scaling limit pinned at EVERY computable level: central charge [formula in source] from the lattice ( v376), the [formula in source] character ( v377), the genus-1 torus count [formula in source] ( v378), and reflection positivity ( v379); only the abstract continuum existence (cited MMST) stays external)

Research changelog · TFPT — Introduction and reading guide

v376 ( SEAM.S3.CENTRALCHARGE.01). The Calabrese–Cardy finite-size entanglement-entropy scaling of the critical free-fermion content gives [formula in source] per complex mode (Peschel correlation-matrix EE; the [formula in source] sizes avoid the half-filling zero-mode), so the 16-Majorana ( [formula in source] complex) collar has [formula in source] , chiral ( [formula in source] , v367/ v368). Numerical [formula in

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documents/changelog/sections/014-source.tex · lines 168 to 192

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  • explicit script identifier v367_seam_s3_lattice.py

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  • explicit script identifier v369_qgamb_redundancy.py

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  • explicit script identifier v378_seam_s3_modular.py

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2026-06-23 (Track 4 — the prediction OBSERVATORY: a status-typed CI over the frozen prediction registry that makes the falsifiability surface machine-checkable, with a live data scorecard ( v375))

Research changelog · TFPT — Introduction and reading guide

v375 ( OBSERVATORY.REGISTRY.01). A CI over freeze_file.csv: \ every prediction carries a kill criterion (falsifiability complete, no orphan claims); \ the headline values re-derive from [formula in source] ( [formula in source] , [formula in source] , [formula in source] ); \ a live scorecard records [formula in source] vs the JUNO first run ( [formula in source] , compatible), [formula in source] vs NuFIT 6.0 NO ( [

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documents/changelog/sections/014-source.tex · lines 193 to 204

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2026-06-23 (Track 3 — the [formula in source] functor promoted from contracts to TYPED runnable solvers with kill tests: Koide source [formula in source] pole ( v371), [formula in source] Boltzmann ( v372), axion finite- [formula in source] relic ( v373), [formula in source] uncertainty budget ( v374))

Research changelog · TFPT — Introduction and reading guide

v371 ( FR.POLE.SOLVE.01). A clean negative: standard QED/EW running cannot be the Koide source [formula in source] pole transfer (it pushes [formula in source] above [formula in source] ; the required [formula in source] is negative while QED's is positive), so the transfer is the non-QED [formula in source] operator / [formula in source] Moebius generator ( v183/ v82). , plain running excluded as the kill. Python (n

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documents/changelog/sections/014-source.tex · lines 205 to 223

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2026-06-23 (Track 1 — the S3 input made CONCRETE: an explicit gapped chiral-Majorana ( [formula in source] ) lattice model with numerical Chern [formula in source] realises the [formula in source] edge ( v367), and a strip shows the chiral edge exists by anomaly inflow ( v368))

Research changelog · TFPT — Introduction and reading guide

v367 ( SEAM.S3.LATTICE.01) — Track 1. The abstract S3 residual of v356/ v366 (``the collar realised as a genuine lattice chiral free-fermion invertible phase'') is turned into a RUNNABLE model. \ the [formula in source] Bloch model is gapped at [formula in source] with a numerically computed Fukui–Hatsugai–Suzuki Chern number [formula in source] ( [formula in source] trivially at [formula in source] ); \ [formula in

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documents/changelog/sections/014-source.tex · lines 224 to 242

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  • explicit script identifier v356_continuum_mmst_applicability.py

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2026-06-23 (Track 2 — perturbative graviton unitarity sector-by-sector: the Barnes–Rivers spin decomposition localises the Stelle ghost in the spin-2 sector, cured by the entire KMS form factor; the spin-0 mode by the GHP contour ( v370))

Research changelog · TFPT — Introduction and reading guide

v370 ( GRAV.SPIN2.UNITARITY.01) — Track 2. Extends v304 (the scalar [formula in source] pole algebra) to the actual tensor spin structure. \ the Barnes–Rivers projectors are complete ( [formula in source] , [formula in source] , [formula in source] sum to [formula in source] ; [formula in source] split [formula in source] ), the EH propagator is [formula in source] , and the Stelle ghost is a spin-2 state. \ the enti

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documents/changelog/sections/014-source.tex · lines 243 to 257

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2026-06-23 (Directions 3 \& 7 — the two hard functional-analysis residuals ADVANCED: the QG measure as one-loop fluctuations around the parameter-free saddle ( v365), and the seam collar verified IN MMST's free-fermion class so the scaling limit is [formula in source] ( v366))

Research changelog · TFPT — Introduction and reading guide

v365 ( QGAMB.SADDLE.01) — Direction 3. With the parameter-free saddle ( v358/ v359) the QG measure (gate C7/ QG.AMB.01) organises as a one-loop Gaussian fluctuation determinant. \ the fluctuation stiffness is [formula in source] (no free dial, so the one-loop problem is now well-posed); \ the fluctuation operator is gapped [formula in source] ( v76/ v337) [formula in source] mode-by-mode convergence, finite model log

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documents/changelog/sections/014-source.tex · lines 258 to 280

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2026-06-23 (Consistency pass: the parameter-free full covariant Einstein equation ( v358/ v359) propagated across ALL stale paper and website surfaces; new v359 keybox; homepage gravity animation)

Research changelog · TFPT — Introduction and reading guide

Deep-sync of the parameter-free gravity status. A cross-surface audit found several documents and website components still framing gravity as ``exact only in the [formula in source] regime'' or the metric-sector field equation as ``open''. These were reconciled with the canonical post- v358/ v359 status: the local covariant field equation [formula in source] is PARAMETER-FREE (both coefficients fixed); what remains o

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documents/changelog/sections/014-source.tex · lines 281 to 302

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2026-06-23 (Direction 6, [formula in source] sharpened: after the parameter-free gravity, the gravity sector adds NO new dimensionful input either, so [formula in source] is the SINGLE dimensionful input of the complete theory — final tally [formula in source] , ZERO dimensionless dials: v364)

Research changelog · TFPT — Introduction and reading guide

v364 ( VGEO.SHARPEN.01) — Direction 6. The No-Unit Theorem ( v153) already made [formula in source] a forced metrology primitive. \ The SHARPENING after the parameter-free gravity ( v358/ v359/ v361): the Einstein coefficient [formula in source] and the [formula in source] prefactor [formula in source] are dimensionless, so [formula in source] and [formula in source] reduce to [formula in source] times atoms — the gr

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documents/changelog/sections/014-source.tex · lines 303 to 316

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2026-06-23 (Direction 5, the matter–gravity backreaction: the carrier's gravitational anomaly is forced [formula in source] , and the matter vacuum-energy backreaction is finite ( [formula in source] the forced [formula in source] from [formula in source] , not [formula in source] ) — the loop closes; no new SM-quantum-number read-out (declined): v361)

Research changelog · TFPT — Introduction and reading guide

v361 ( GRAV.BACKREACT.01) — Direction 5. With the parameter-free equation ( v359) and the explicit J3 flux ( v358), the backreaction of TFPT's carrier matter is computed. \ the carrier's gravitational anomaly is forced: [formula in source] (the chiral central charge of the [formula in source] -Majorana content). \ the backreaction is FINITE [formula in source] from [formula in source] : the matter vacuum energy throu

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documents/changelog/sections/014-source.tex · lines 317 to 330

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2026-06-23 (Direction 2, the disciplined result: the gap-induced GR correction is the known [formula in source] scalaron — already falsifiable via [formula in source] ; a new forced near-term deviation does NOT survive the discriminator and is declined: v360)

Research changelog · TFPT — Introduction and reading guide

v360 ( GRAV.GAPCORR.01) — Direction 2, run honestly. Does the seam transfer gap [formula in source] yield a NEW, calculable, FORCED deviation from GR (a near-term kill test) beyond the known [formula in source] scalaron? With the v354/ v355 discriminator the answer is no, and this is recorded rather than manufacturing a coefficient. \ the leading higher-curvature term IS the [formula in source] scalaron (spectral-act

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documents/changelog/sections/014-source.tex · lines 331 to 347

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2026-06-23 (the FULL covariant Einstein equation, parameter-free: the fixed-volume entanglement equilibrium gives [formula in source] with BOTH coefficients TFPT-fixed ( [formula in source] from v358, [formula in source] from [formula in source] via v60); B6 closed at the local level: v359)

Research changelog · TFPT — Introduction and reading guide

v359 ( GRAV.NONLINEAR.01) — Direction 1, the full covariant equation. Extends v358 from the linearised (fixed-radius, Ricci-level) result to the FULL covariant equation. \ Jacobson 2015: demanding stationarity of the small-ball entanglement entropy at fixed volume brings in the EINSTEIN TENSOR [formula in source] (not just [formula in source] ) — trace [formula in source] in [formula in source] , the structure that c

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documents/changelog/sections/014-source.tex · lines 348 to 365

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2026-06-23 (the classical gravity field equation, parameter-free: the entanglement first law [formula in source] with TFPT's atoms gives the LINEARISED Einstein equation with [formula in source] from [formula in source] ; the thermodynamic and geometric origins of [formula in source] coincide via [formula in source] ; the two formerly-open pieces (matter flux J3, entropy-density coefficient) closed/atom-fixed: v358)

Research changelog · TFPT — Introduction and reading guide

v358 ( GRAV.ENTROPY.EQUILIBRIUM.01) — the bridge to the dynamic world, instantiated on the gravity side. Carrying out the Jacobson-2015 / Faulkner-et-al.\ ``first law of entanglement [formula in source] Einstein equation'' with TFPT's atoms. \ PARAMETER-FREE COEFFICIENT: [formula in source] gives [formula in source] with [formula in source] fixed; all four [formula in source] -roles consistent (Unruh [formula in sour

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documents/changelog/sections/015-source.tex · lines 1 to 16

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2026-06-23 (the two frontier walls attacked directly: Direction A assembles the continuum chain of SEAM.EQUIV.01 theorem-by-theorem and ties its residual to the seam one-sidedness; Direction B was found ALREADY closed by v40 (harmonic metric [formula in source] finite linear algebra, not a PDE): v356)

Research changelog · TFPT — Introduction and reading guide

v356 ( SEAM.EQUIV.CONTINUUM.03) — Direction A, the continuum chain assembled. After the reverse-audit/bandwidth work showed no hidden discrete lever remains, the only fundamental progress is to assemble the continuum chain. Link-by-link: S1 the gapped ( [formula in source] , v302) quasi-free [formula in source] -Majorana collar ( v155/ v160) [formula in source] S2 invertible (gapped free fermions have no intrinsic to

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documents/changelog/sections/015-source.tex · lines 17 to 40

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2026-06-22 (bandwidth search of the unmapped [formula in source] region, with a strict forced-identity discriminator: the genuine overlooked structure is COLLECTIVE ( [formula in source] , [formula in source] , exponents [formula in source] totatives of [formula in source] ); the per-degree atom matches are unforced and DECLINED; no new physical hit – reconciling v66 and v354: v355)

Research changelog · TFPT — Introduction and reading guide

v355 ( E8.UNMAPPED.BANDWIDTH.01) — the next step after v354, run honestly. The obvious follow-up (``search those five degrees for hits we overlooked'') is itself the numerology temptation v354 warns about: a rich object like [formula in source] returns a numerical match for almost anything. So the scan uses a STRICT discriminator – a candidate counts only if it is a FORCED identity (a theorem about [formula in source

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documents/changelog/sections/015-source.tex · lines 41 to 62

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  • explicit script identifier v66_e8_casimir_degrees.py

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2026-06-22 (the REVERSE numerology audit, and what the golden ratio means: of [formula in source] 's 8 Casimir invariants only [formula in source] feed a primary readout and [formula in source] are hull overhead; the golden ratio is UNMAPPED structure, so it cannot be numerology: v354)

Research changelog · TFPT — Introduction and reading guide

v354 ( E8.REVERSE.AUDIT.01) — the reverse complement of v305. TFPT's forward discipline ( v305) is one-directional: every physical READOUT must map onto an [formula in source] structure (anti-fitting). The sharp adversarial question runs the OTHER way — how much [formula in source] structure maps onto NOTHING, and is the recurring golden ratio numerology? \ THE REVERSE AUDIT: of [formula in source] 's eight Casimir i

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Source location and explicit evidence links

documents/changelog/sections/015-source.tex · lines 63 to 84

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2026-06-22 (the bird's-eye rethink: TFPT is a unique self-consistent LOOP with ZERO free dials, not a linear axiom system; [formula in source] is a fixed geometric constant, not a dial; the one residual is the continuum closure: v353)

Research changelog · TFPT — Introduction and reading guide

v353 ( TFPT.SELFLOOP.01) — refining v352. Stepping all the way back: TFPT is not a LINEAR theory (axioms [formula in source] theorems) but a CLOSED SELF-CONSISTENT LOOP whose outputs fix its own inputs. \ it is a loop: [formula in source] max prime of the output [formula in source] , and the [formula in source] in [formula in source] – the outputs fix the inputs ( v6), with a unique fixed point ( v56); ``which is the

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documents/changelog/sections/015-source.tex · lines 85 to 99

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2026-06-22 (two consequences: the [formula in source] which-net ambiguity resolved by the order-4 clock, and BOTH axioms shown bootstrap-forced so the only irreducibles are the framework [formula in source] [formula in source] : v351, v352)

Research changelog · TFPT — Introduction and reading guide

v351 ( SEAM.EQUIV.CONTINUUM.02) — the which-net ambiguity falls. The long-standing `` [formula in source] ambiguity'' ( [formula in source] det 1 vs [formula in source] det 4, both [formula in source] , flagged open in v277/ v344) is RESOLVED, non-circularly, by the seam's ORDER-4 [formula in source] clock: the index-4 simple-current extension of [formula in source] is [formula in source] ( v154), the index-2 would b

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documents/changelog/sections/015-source.tex · lines 100 to 119

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  • explicit script identifier v277_seam_calderon_e8_match.py

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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.