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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.

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

Research Contract — SEAM.BULK4D.RECON.01 (from seam data to a 4D local quantum theory)

Research contracts

Typing. A research contract \ (ledger row SEAM.BULK4D.RECON.01: Open, research contract), not a claim. It makes explicit the theorem that was previously only implicit between the SEAM.EQUIV.01 conclusion (a chiral [formula in source] boundary object) and the WOIT.OS.TWISTOR.01 goal statement (a Poincar\'e-covariant, causal, chiral 4D theory): the missing seam [formula in source] bulk reconstruction is a theorem of it

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/014-source.tex · lines 245 to 298

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

Research Contract — BULK.PRIME_COMPLETION.01 (prime/seam-generated completions, no spectator)

Research contracts

Typing. A research contract \ (ledger row BULK.PRIME_COMPLETION.01: Open, research contract), not a claim. Registered 2026-09-04 from the r644 audit harvest; it replaces the ``unique from seam data alone'' reading of SEAM.BULK4D.RECON.01/B7 by uniqueness in the category of seam-generated (prime) completions. Dimension typing ( DIMENSION.UPLIFT.FIREWALL.01 F2): the hypothesis is [formula in source] D free-fermion, the

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/014-source.tex · lines 299 to 337

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

Research Contracts — DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01 (the three meanings of ``dynamics'')

Research contracts

tocsectionResearch Contracts: DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/015-source.tex · lines 1 to 143

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

Research Contract — QFT4D.OS.RECON.01 (the genuine 4D Euclidean lattice package)

Research contracts

Typing. A research contract \ (ledger row QFT4D.OS.RECON.01: Open, research contract), not a claim. This is step (3) of the DIMENSION.UPLIFT.FIREWALL.01 route ordering: the nonperturbative 4D existence statement that no perturbative or seam-level result can substitute for.

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/015-source.tex · lines 144 to 234

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

Research Contract — CHIRAL4D.NOMIRROR.01 (the chiral 4D lattice matter theorem)

Research contracts

Typing. A research contract \ (ledger row CHIRAL4D.NOMIRROR.01: Open, research contract), not a claim. Step (4) of the firewall route ordering: chirality and mirror decoupling must be proven in the same 4D model that QFT4D.OS.RECON.01 constructs — the seam's [formula in source] and Chern/inflow structure are a boundary- anomaly signal, not yet 4D matter.

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/015-source.tex · lines 235 to 303

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

Research Contract — CHIRAL4D.MIRROR.DET16.01 (DET16 rank-one projector, finite cluster)

Research contracts

Typing. A candidate \ (ledger row CHIRAL4D.MIRROR.DET16.01), registered 2026-08-29 from review wave 5. ( v1002_ spin10_ mirror_ projector.py.) Content. Exact finite-cluster gapping on the full chiral [formula in source] Fock space via the number-violating determinant vertex, as executed above. Open. Dynamical gauge fields, domain-wall geometry, and a [formula in source] D volume theorem — this is not a [formula in so

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documents/tfpt_research_contracts/sections/015-source.tex · lines 304 to 366

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

Firewall Contract — GRAV.NONCIRCULAR.01 (the Bisognano–Wichmann direction discipline)

Research contracts

Typing. A standing discipline rule, in force immediately (ledger row GRAV.NONCIRCULAR.01), with an audit census at registration. Bisognano–Wichmann (BW) is a theorem within an already-local, Poincar\'e-covariant QFT with a suitable vacuum: the modular flow of a wedge algebra acts as the boost. It is not a device that generates Lorentz spacetime from an arbitrary modular flow — there exist Poincar\'e-covariant nets vi

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documents/tfpt_research_contracts/sections/016-source.tex · lines 1 to 50

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

Research Contract — OBS.TRANSDUCTION.01 (the transduction principle: eigenvalue, projection, coupling)

Research contracts

Typing. A research contract (ledger row OBS.TRANSDUCTION.01); the principle is machine-checked on the minimal model at exploration level, the per-bundle transduction proofs are . It elevates the S15 typing rule to a named principle: [formula in source] Without the middle arrow, neither a non-observation falsifies nor an observation confirms. The minimal model is machine-checked in experiments/ theory-contracts/ fo01_

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documents/tfpt_research_contracts/sections/016-source.tex · lines 51 to 96

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

Research Contract — PRED.JOINTLIKELIHOOD.01 (from hit-counting to overdetermined relations)

Research contracts

Typing. A research contract \ (ledger row PRED.JOINTLIKELIHOOD.01: Open, statistics-construction contract), not a claim. The [formula in source] individually matched values all descend from the same few atoms ( [formula in source] , [formula in source] , [formula in source] , [formula in source] ) and are therefore statistically correlated: counting hits overstates independent evidence. The evidence is to be reorgani

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/016-source.tex · lines 97 to 144

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

  • explicit file citation v992_joint_likelihood_v1.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

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

  • explicit script identifier v1_e8_glue.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join tfpt_readouts_extension.wl

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

  • cross reference join tfpt_readouts_extension.wl

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

  • cross reference join tfpt_readouts_extension.wl

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

  • explicit script identifier v100_numerology_null_mc.py

    literal short identifier uniquely resolves in local script registry

  • explicit script identifier v84_frozen_registry.py

    literal short identifier uniquely resolves in local script registry

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • explicit file citation FALSIFICATION.md

    literal source filename/path in TeX

Research Programme — the TFPT4D master route (one 4D transfer object instead of twenty formulas)

Research contracts

Typing. A programme section (registered 2026-08-27 from the external bird's-eye review), not a claim: it organizes the existing 4D contracts and the four new ones below into one route and moves no marker. The organizing observation: TFPT is probably not missing twenty independent formulas; it is missing one mathematical growth principle that unfolds the discrete structure into a local, unitary, reflection-positive 4D

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/016-source.tex · lines 145 to 247

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

Verified Selector — DIMENSION.SELECTOR.4D.01 (why [formula in source] , conditionally)

Research contracts

Typing. A conditional identity \ (ledger row DIMENSION.SELECTOR.4D.01), machine-checked in v975_dimension_selector_4d.py ( [formula in source] , sympy-exact). The [formula in source] structure of the compiler must not be read as a proof of four spacetime dimensions ( DIMENSION.UPLIFT.FIREWALL.01); what is checkable is a selector theorem under a named axiom set. Statement. Under A1 [formula in source] (propagating loc

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Source location and explicit evidence links

documents/tfpt_research_contracts/sections/016-source.tex · lines 248 to 282

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

Research Contract — SEAM.SIMPLECURRENT.GENERATOR.01 (one generator instead of 128 currents)

Research contracts

Typing. A research contract \ (ledger row SEAM.SIMPLECURRENT.GENERATOR.01), not a claim. Context. The seam coverage carve ( v973_seam_route_narrowing.py) shows the [formula in source] fermion-bilinear half of the seam target is covered by the cited scaling-limit theorem; the named residual is N1 (the [formula in source] /GSO extension [formula in source] as a net statement — the 128 spinor currents are not bilinears)

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documents/tfpt_research_contracts/sections/017-source.tex · lines 1 to 152

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

Research Contract — TFPT4D.LATTICE.ACTION.01 (the explicit finite 4D lattice action and its seven finite gates)

Research contracts

Typing. A research contract \ (ledger row TFPT4D.LATTICE.ACTION.01); route step (2) of the DIMENSION.UPLIFT.FIREWALL.01 ordering made concrete — the single object on which nearly all open 4D questions become simultaneously testable. Demand. Exhibit one fully explicit finite family of 4D Euclidean lattice theories [formula in source] where [formula in source] are the fundamental holonomies (TFPT fixes representation c

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documents/tfpt_research_contracts/sections/017-source.tex · lines 153 to 238

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

Research Contract — SEAM.DETLINE.UNIFICATION.01 (the determinant-line unification hypothesis)

Research contracts

Typing. A research hypothesis contract \ (ledger row SEAM.DETLINE.UNIFICATION.01) — a precise conjecture, not a result. Observation. Three separately open structures may be projections of one geometric object: (1) the seam extension is described by a Q-system/simple current ( SEAM.SIMPLECURRENT.GENERATOR.01); (2) the chiral fermion measure lives on a determinant line ( CHIRAL4D.NOMIRROR.01 demand C1); (3) anomalies a

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documents/tfpt_research_contracts/sections/017-source.tex · lines 239 to 285

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

Research Contract — FTRANSFER.GENERATING.01 (four transfer bridges from one generating functional)

Research contracts

Typing. A research contract \ (ledger row FTRANSFER.GENERATING.01); the constructive successor named by the FR.TRANSFER.01 typing guard. The four continuous-transfer interfaces ( [formula in source] : source masses [formula in source] pole, v183; [formula in source] : CP source [formula in source] , v169/ v184; [formula in source] : [formula in source] , v185; [formula in source] : [formula in source] , v164) are cur

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documents/tfpt_research_contracts/sections/017-source.tex · lines 286 to 319

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

Research Contract — GAUGE.DETLINE.FIXPOINT.01 (all three gauge couplings from one zeta-det functional)

Research contracts

Typing. A research contract \ (ledger row GAUGE.DETLINE.FIXPOINT.01), registered 2026-08-28 from review wave 3. Demand. All three gauge couplings ( [formula in source] / equivalently [formula in source] , [formula in source] , [formula in source] ) arise as stationary points of one nonabelian zeta-det / inflow functional on the determinant line — the nonabelian upgrade of the [formula in source] face ALPHA.QUILLEN.EX

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documents/tfpt_research_contracts/sections/017-source.tex · lines 320 to 378

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

Research Contract — GRAV.SPIN2.EMERGENCE.01 (massless transversal spin-2 from the same spectral determinant)

Research contracts

Typing. A research contract \ (ledger row GRAV.SPIN2.EMERGENCE.01), registered 2026-08-28 from review wave 3. Demand. From the same spectral determinant that carries the gauge fixpoints, a massless transversal spin-2 pole with two helicities, universal [formula in source] coupling, diffeomorphism Ward identities, and positive Hessian / reflection-positive transfer. Relation. The entanglement-equilibrium Einstein equa

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documents/tfpt_research_contracts/sections/018-source.tex · lines 1 to 68

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

Research Contract — FTRANSFER.SK.RHO0.01 (Schwinger–Keldysh completion: cosmological transfers need [formula in source] )

Research contracts

Typing. A research contract \ (ledger row FTRANSFER.SK.RHO0.01), registered 2026-08-28 from review wave 3; mechanism executed 2026-08-29. Demand. Cosmological transfers ( [formula in source] , [formula in source] , and any nonequilibrium 4D readout) need the pair [formula in source] , not [formula in source] alone — the Euclidean-cap / KMS initial state. Typed candidate. The [formula in source] saddle [formula in sou

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documents/tfpt_research_contracts/sections/018-source.tex · lines 69 to 137

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

Research Contract — SEAM.MMST.TYPEIII.CHARGED.01 (one scaling-limit theorem)

Research contracts

Typing. A research contract \ (ledger row SEAM.MMST.TYPEIII.CHARGED.01), registered 2026-08-29 from review wave 5. Demand. One scaling-limit theorem [formula in source] strongly on the finite-energy core [formula in source] crossed-product continuity, from which [formula in source] , [formula in source] , type III [formula in source] , unique rotational KMS, unique conditional expectation, deck equidistribution and m

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documents/tfpt_research_contracts/sections/018-source.tex · lines 138 to 180

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

TEL-B reduction (2026-09-04)

Research contracts

The residual TEL-B-EXTERNAL is restated below. The earlier scalar dyadic increment [formula in source] with [formula in source] sufficient for [formula in source] is superseded — [formula in source] was measured [formula in source] (r645) but is no longer the route. Numerically closed ( [formula in source] ; conditional analytic [formula in source] with [formula in source] ); round 3 closed C1, C2a and the interval-T

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documents/tfpt_research_contracts/sections/018-source.tex · lines 181 to 347

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.