157 sections found. Current publication documents are listed before historical material.
Research contracts
Typing. A research contract \ (ledger row TFPT.TOE.COMPLETE.01), registered 2026-08-29 from review wave 4. This row names the AND of eight gates; it does not close any of them and it does not upgrade a marker. Dual rest: the compiler residual [formula in source] sits beside [formula in source] ; this contract is the named AND, not a closure of either.
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documents/tfpt_research_contracts/sections/019-source.tex · lines 1 to 136
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Research contracts
Typing. A candidate \ (ledger row FLAV.NUSCALE.06); mechanism [formula in source] the [formula in source] -to-flavor operator . No seesaw closure; FLAV.NUSCALE.05 unmoved. ( v1001_ nu_ pentagon_ chain.py.)
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documents/tfpt_research_contracts/sections/019-source.tex · lines 137 to 154
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Research contracts
Typing. A research contract \ (ledger row FLAV.NU.TEXTURE.MECHANISM.01), registered 2026-08-29 from review wave 5. ( v1003_ nu_ structural_ nulls.py.) Executed content. Charged-sector data [formula in source] , [formula in source] (coset min-norms all [formula in source] ) . Schur-texture NULL : all [formula in source] preregistered [formula in source] combinations fail; D4 reflection forces [formula in source] ; hie
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documents/tfpt_research_contracts/sections/019-source.tex · lines 155 to 200
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Research contracts
Typing. A research contract \ (ledger row SEAM.MILNOR.LOCALRING.01), registered 2026-08-30 from review wave 6. ( v1004_ milnor_ frobenius_ gray.py.) Demand. A canonical identification between the raw seam collar / [formula in source] transition bus and the reduced Milnor algebra [formula in source] preserving simultaneously the dual-number action, the Frobenius pairing, the Gray torsor, the deck action and CP. Accept
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documents/tfpt_research_contracts/sections/019-source.tex · lines 201 to 279
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Research contracts
Typing. A research contract \ (ledger row GRAV.WEINBERG.WITTEN.01), registered 2026-08-30 from review wave 6. Child of TOE gate T7; cross-link GRAV.SPIN2.EMERGENCE.01 (listed here, not back — that would cycle). Demand. The microscopic Hamiltonian family must not possess a fundamental Lorentz-covariant local conserved [formula in source] ; Lorentz symmetry, diffeomorphism Ward identities and the spin-2 mode must emerg
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documents/tfpt_research_contracts/sections/019-source.tex · lines 280 to 295
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Research contracts
Typing. This section is a hand-off document: it packages the one remaining seam obligation as a self-contained problem statement for an outside specialist in conformal nets / vertex operator algebras / algebraic QFT. It documents, it does not close: the ledger row SEAM.EQUIV.01 stays \ (its conditional route SEAM.EQUIV.MMST.01 is closed modulo cited theorems; the unconditional parent is the target below). Nothing in
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documents/tfpt_research_contracts/sections/020-source.tex · lines 1 to 162
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Research contracts
Typing. The second hand-off document: the one remaining EM obligation, packaged for an outside specialist in determinant lines / [formula in source] -invariants / index theory. It documents, it does not close: ALPHA.QUILLEN.EXACT.01 stays \ (external math, type A, v384), and it is a face of SEAM.EQUIV.01 ( v382) — not a second independent gate. The value [formula in source] is closed \ regardless (unique root [formul
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documents/tfpt_research_contracts/sections/020-source.tex · lines 163 to 386
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Research contracts
@Ylc@ Building block & Machine & Hardness \\ [formula in source] enumeration ( [formula in source] ) & Lean / Python / Wolfram & easy ( done) \\ [formula in source] fixed-locus polynomial ( [formula in source] ) & Sage / Mathematica & medium \\ selector uniqueness ( [formula in source] ) & interval arithmetic & medium \\ SNF, determinants, spectra & Lean & easy–medium \\ principal-symbol ellipticity (G1) & xAct / Cad
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documents/tfpt_research_contracts/sections/021-source.tex · lines 1 to 307
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · Verification safeguards · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap
Plain language: TFPT (Topological Fixed-Point Theory) is a small discrete compiler. Two inputs — the seam constant [formula in source] and the carrier rank [formula in source] — build [formula in source] and read off the Standard-Model skeleton, the constants and the scale grammar. The series is the introduction plus five numbered papers and four companions (plus one standalone working note), best read in order: intr
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tex-artefacts/tfpt_docset.tex · lines 1 to 44
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · Verification safeguards · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · Verification reference catalog
\\[2pt] [formula in source] — the unique even unimodular rank- [formula in source] glue \ [E] exact (lattice).
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tex-artefacts/tfpt_figures.tex · lines 1 to 150
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
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tex-artefacts/tfpt_references.tex · lines 1 to 11
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
The TFPT discrete core (the two axioms, the [formula in source] glue, the integer skeleton) is self-contained and machine-checked. Its bridges to continuum/AQFT physics, to gravity and to the lattice/singularity picture build on established mathematics, listed here by topic; the body refers to these by author name.
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tex-artefacts/tfpt_references.tex · lines 12 to 19
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications, Lecture Notes in Math.\ 128, Springer (1970). J. J. Bisognano, E. H. Wichmann, On the duality condition for a Hermitian scalar field / for quantum fields, J. Math.\ Phys.\ 16 (1975) 985–1007; 17 (1976) 303–321. K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions I, II, Comm.\ Math.\ Phys.\ 31 (1973) 83–112; 42 (1975) 281–30
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tex-artefacts/tfpt_references.tex · lines 20 to 42
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
I. B. Frenkel, V. G. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent.\ Math.\ 62 (1980) 23–66; G. Segal, Unitary representations of some infinite-dimensional groups, Comm.\ Math.\ Phys.\ 80 (1981) 301–342. T. J. Osborne, A. Stottmeister, Conformal field theory from lattice fermions, Comm.\ Math.\ Phys.\ 398 (2023) 219–289, arXiv:2107.13834, doi:10.1007/s00220-022-04521-8. (This is
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tex-artefacts/tfpt_references.tex · lines 43 to 71
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
J. H. Conway, N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed., Grundlehren der math.\ Wiss.\ 290, Springer (1999). C. L. Siegel, \"Uber die analytische Theorie der quadratischen Formen (the Minkowski–Siegel mass formula), Ann.\ of Math.\ 36 (1935) 527–606.
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tex-artefacts/tfpt_references.tex · lines 72 to 79
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
E. Brieskorn, Beispiele zur Differentialtopologie von Singularit\"aten, Invent.\ Math.\ 2 (1966) 1–14. J. Milnor, Singular Points of Complex Hypersurfaces, Ann.\ of Math.\ Studies 61, Princeton Univ.\ Press (1968).
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tex-artefacts/tfpt_references.tex · lines 80 to 87
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
A. H. Chamseddine, A. Connes, The spectral action principle, Comm.\ Math.\ Phys.\ 186 (1997) 731–750. A. Connes, C. Rovelli, Von Neumann algebra automorphisms and time–thermodynamics relation in general covariant quantum theories, Class.\ Quantum Grav.\ 11 (1994) 2899–2918. R. M. Wald, Black hole entropy is the Noether charge, Phys.\ Rev.\ D 48 (1993) R3427–R3431. H. Casini, M. Huerta, R. C. Myers, Towards a derivati
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tex-artefacts/tfpt_references.tex · lines 88 to 100
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap
Two inputs, one compiler. From the boundary constant [formula in source] (axiom P1) and the five-slot carrier [formula in source] (axiom P2) — jointly the elementary symmetric data of one anchor [formula in source] — the discrete compiler [formula in source] is built, and the Standard-Model skeleton (gauge group, three families, hypercharges, the flavor matrix), the dimensionless constants ( [formula in source] ) and
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tex-artefacts/tfpt_status.tex · lines 1 to 84
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origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · Verification safeguards · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · Verification reference catalog
positioning,arrows.meta,fit,backgrounds,calc,shapes.geometric,shapes.misc
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tex-artefacts/tfpt_style.tex · lines 1 to 145
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tfpt research contracts · Research contracts
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tex-artefacts/toe_research_20260909.tex · lines 1 to 1
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No explicit verification citation is attached to this section in the registry.