157 sections found. Current publication documents are listed before historical material.
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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documents/tfpt_research_contracts/sections/014-source.tex · lines 245 to 298
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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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documents/tfpt_research_contracts/sections/014-source.tex · lines 299 to 337
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Research contracts
tocsectionResearch Contracts: DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01
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documents/tfpt_research_contracts/sections/015-source.tex · lines 1 to 143
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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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documents/tfpt_research_contracts/sections/015-source.tex · lines 144 to 234
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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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documents/tfpt_research_contracts/sections/015-source.tex · lines 235 to 303
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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
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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
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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
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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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documents/tfpt_research_contracts/sections/016-source.tex · lines 97 to 144
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- explicit file citation v992_joint_likelihood_v1.py
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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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documents/tfpt_research_contracts/sections/016-source.tex · lines 145 to 247
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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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documents/tfpt_research_contracts/sections/016-source.tex · lines 248 to 282
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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
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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
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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
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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
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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
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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
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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
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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
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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
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