403 sections found. Current publication documents are listed before historical material.
Research changelog · TFPT — Introduction and reading guide
v296_flataway_a2_closed.py ( FLATAWAY.A2.CLOSED.01) evaluates the exact [formula in source] coefficient in closed form: the operator tails telescope geometrically ( [formula in source] ) to [formula in source] , leaving a finite [formula in source] -term middle; e.g.\ [formula in source] . Manifestly positive, small- [formula in source] law [formula in source] (the [formula in source] term cancels). Reproduces v295 t
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documents/changelog/sections/017-source.tex · lines 220 to 233
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Research changelog · TFPT — Introduction and reading guide
v295_flataway_a2_exact.py ( FLATAWAY.A2.01) upgrades the v292 positive-definiteness from a numerical scan to a proof: the first variation of [formula in source] vanishes (zero-mean off-mark curvature, Gauss-Bonnet), and since [formula in source] is convex (Klein/Peierls), [formula in source] is the global minimum — so [formula in source] for all deformations, [formula in source] iff [formula in source] . The exact se
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documents/changelog/sections/017-source.tex · lines 234 to 249
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Research changelog · TFPT — Introduction and reading guide
v292_flataway_heat_reduction.py ( FLATAWAY.HEAT.01): the heat route, made precise. The heat-trace deviation [formula in source] is a positive-definite quadratic form in the off-mark curvature ( [formula in source] for every [formula in source] mode, positive on all combinations), leading invariant [formula in source] — so Flat-Away reduces to the single fact ``the seam fixes the [formula in source] heat coefficient''
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documents/changelog/sections/017-source.tex · lines 250 to 269
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Research changelog · TFPT — Introduction and reading guide
v290_z4_smooth_curvature_adversary.py ( SEAM.ADVERSARY.01) is the honest red-team that [formula in source] block-diagonality is not mark-locality: a smooth [formula in source] off-mark curvature [formula in source] \ passes the v288 commutator ( [formula in source] , same as mark-local) yet \ shifts the DtN spectrum ( [formula in source] ) and the heat trace ( [formula in source] ). So the commutator is necessary, no
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documents/changelog/sections/017-source.tex · lines 270 to 285
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Research changelog · TFPT — Introduction and reading guide
v289_marklocal_raw.py ( MARKLOCAL.RAW.01) decomposes the one remaining Route-B residual (`why is the raw seam sub-principal term mark-local?') into a 5-lemma chain and isolates the single open analytic lemma: \ L1 conic parametrix (b-calculus/Melrose, imported); \ L2 Flat-Away — RP [formula in source] gap [formula in source] 4 marks [formula in source] curvature vanishes away from the marks; \ L3 orbit-source ( v195/
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documents/changelog/sections/017-source.tex · lines 286 to 303
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Research changelog · TFPT — Introduction and reading guide
v286_seam_equivalence_contract.py ( SEAM.EQUIV.01) names the one open theorem — the raw RP seam state is the holomorphic [formula in source] net at [formula in source] — and concentrates the whole open structure on it: four objects, six arrows (2 closed, 1 conditional v282, 1 open Gral), an import firewall proving the two routes ( v276/ v280/ v284 vs v277/ v281/ v285) never import each other (no ` [formula in source]
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documents/changelog/sections/017-source.tex · lines 304 to 324
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Research changelog · TFPT — Introduction and reading guide
v284_route_i_rp_uniqueness.py ( QGEO.ROUTEI.01) turns Route (i) (RP-state uniqueness) into a 6-lemma chain: \ 5/6 lemmas are already discharged — L1 RP [formula in source] DtN ( v194), L2 marks [formula in source] pillowcase ( v195/ v216/ v214), L3 flat Steklov [formula in source] (verified here), L4 covariance from DtN ( v258), L5 [formula in source] -invariance ( v276/Lean/ v280); \ Troyanov ( [formula in source] u
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documents/changelog/sections/017-source.tex · lines 325 to 340
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Research changelog · TFPT — Introduction and reading guide
v280_pillowcase_steklov.py ( QGEO.STEKLOV.01) runs the QGEO chain on the actual flat [formula in source] pillowcase orbifold: the order-4 deck permutes the 4 cone points (2 fixed [formula in source] 1 swap) and the geometric chain [formula in source] is numerically exact — route-(i) evidence for QGEO.OBLIG.01; the premise stays . v281_holomorphy_modular_data.py ( QGAMB.MODULAR.01): \#anyons [formula in source] (E8 [f
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documents/changelog/sections/017-source.tex · lines 341 to 359
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Research changelog · TFPT — Introduction and reading guide
v279_qgeo_obligation_lemma.py ( QGEO.OBLIG.01) writes the bedrock as ONE precise constructive-QFT lemma. Given the premise the raw seam carries the flat [formula in source] pillowcase metric (Troyanov-unique, [formula in source] ), then [formula in source] mark-locality [formula in source] . \ the reduction DAG from `free RP seam' has exactly one open leaf — `the raw seam state is the flat state'; \ the geometric sid
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documents/changelog/sections/017-source.tex · lines 360 to 377
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Research changelog · TFPT — Introduction and reading guide
v278_lsz_bridge_unitarity.py ( QFT4D.SPERT.04) connects the perturbative S-matrix to the physical asymptotic one and verifies one-loop unitarity. \ LSZ bridge: the EG [formula in source] -products of [formula in source] ( v269) are the OS Wick-rotated correlators ( v240), so amputate [formula in source] on-shell-residue gives [formula in source] ; \ the gap [formula in source] gives Haag–Ruelle asymptotic states. \ o
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documents/changelog/sections/018-source.tex · lines 1 to 14
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Research changelog · TFPT — Introduction and reading guide
v277_seam_calderon_e8_match.py ( QGAMB.TIERB.01) reduces Tier-B to ONE bit. \ the full [formula in source] matching target is computed and matches: [formula in source] , [formula in source] , the holomorphic character [formula in source] with a single primary and exactly [formula in source] weight-1 currents ( [formula in source] roots). \ the discriminator is holomorphy — the [formula in source] counterexample [form
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documents/changelog/sections/018-source.tex · lines 15 to 26
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Research changelog · TFPT — Introduction and reading guide
v276_qgeo_flat_closes_commutator.py ( QGEO.SYM.03) collapses the bedrock to ONE geometric postulate. The state-level residual the whole bedrock rests on is the operator equation [formula in source] . \ if [formula in source] and the order-4 deck [formula in source] ( [formula in source] ) is a flat- [formula in source] isometry, then [formula in source] exactly, to all orders (verified on the discretised square torus
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documents/changelog/sections/018-source.tex · lines 27 to 40
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Research changelog · TFPT — Introduction and reading guide
redteam/rt_F_qft4d.py ( REDTEAM.F.01) stress-tests the just-published round (the perturbative [formula in source] layer, the PMNS Jarlskog, the [formula in source] -scale, the over-determination, the QG.AMB.01 roadmap). Survives (narrowed): two attacks land and are folded in. (1) the gravity [formula in source] Weyl [formula in source] sub-sector is power-counting renormalizable but non-unitary (the Stelle ghost: the
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documents/changelog/sections/018-source.tex · lines 41 to 54
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Research changelog · TFPT — Introduction and reading guide
Published to Zenodo. Version 5.2 (rev 191) of the ten-PDF document set was published as a new version of the TFPT deposit — record 20743347, DOI 10.5281/zenodo.20743347. This release carries the perturbative 4D-QFT layer (the Epstein–Glaser [formula in source] skeleton v269, the concrete one-loop quartic v271 and gauge [formula in source] -coefficients v273), the complete complex PMNS matrix and leptonic CP strength
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documents/changelog/sections/018-source.tex · lines 55 to 67
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Research changelog · TFPT — Introduction and reading guide
v272_nu_mass_scale.py ( FLAV.NUSCALE.01) types the absolute neutrino-mass scale honestly (no fabricated [formula in source] — would contradict the v184 firewall). \ the absolute scale reduces to one seesaw ratio [formula in source] (one UV input, like [formula in source] , v153); \ the observed [formula in source] eV with the TFPT PS [formula in source] GUT window [formula in source] GeV ( v249) needs [formula in sou
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documents/changelog/sections/018-source.tex · lines 68 to 92
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- explicit script identifier v184_etaB_anchored_boltzmann.py
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Research changelog · TFPT — Introduction and reading guide
v271_eg_oneloop_quartic.py ( QFT4D.SPERT.02) takes the v269 [formula in source] skeleton from ``exists'' to an actual EG number (no path integral). \ the first renormalization is the order-2 product [formula in source] ; the massless propagator has scaling degree [formula in source] in [formula in source] , the one-loop bubble has [formula in source] , so [formula in source] [formula in source] exactly one logarithmi
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documents/changelog/sections/018-source.tex · lines 93 to 106
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Research changelog · TFPT — Introduction and reading guide
v270_pmns_jarlskog_assembly.py ( FLAV.PMNS.03) assembles the four TFPT channels ( [formula in source] , [formula in source] , [formula in source] , [formula in source] ) into one exactly-unitary complex PMNS matrix and derives the leptonic CP strength. \ [formula in source] is unitary; \ the Jarlskog [formula in source] ( [formula in source] ) is a derived number, the leptonic analogue of the CKM [formula in source]
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documents/changelog/sections/018-source.tex · lines 107 to 119
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Research changelog · TFPT — Introduction and reading guide
v269_spert_paqft_skeleton.py ( QFT4D.SPERT.01) builds the honest middle layer of the three-layer S-matrix (the first concrete 4D-QFT step beyond the spectral-action contract), not a nonperturbative closure. \ three distinct layers: [formula in source] (2d DHR braiding [formula in source] , statistics, v243), [formula in source] (4d Epstein–Glaser/BV S-matrix of the spectral action), [formula in source] (LSZ on the OS
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documents/changelog/sections/018-source.tex · lines 120 to 134
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Research changelog · TFPT — Introduction and reading guide
v268_theta13_carrier_trace.py ( FLAV.TH13.01) closes the [formula in source] exponent origin. The value [formula in source] was already checked ( v16); now the exponent is exact: \ [formula in source] , the carrier hypercharge-squared trace ( [formula in source] , roots of [formula in source] ; complement [formula in source] the neutrino ratio). \ own channel: the [formula in source] -breaking [formula in source] ind
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documents/changelog/sections/018-source.tex · lines 135 to 147
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Research changelog · TFPT — Introduction and reading guide
verification/make_script_atlas.py generates verification/script_atlas.md — a single grouped, dependency-aware view fusing the existing single sources ( status_ledger.csv for claim [formula in source] status [formula in source] dependencies [formula in source] supersedes, script_registry.csv/ script_clusters.csv for the theme grouping, docs_map.csv for where each script is cited). It lists every registered script by c
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documents/changelog/sections/018-source.tex · lines 148 to 159
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