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The published foundations of TFPT

Read the original registered statements beside their paper sections, assumptions and verification sources. The later reviewed research stays connected through a separate record.

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155 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.

Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

QGEO.ORBOS.01Machine-exact wiring + Exact [E] convergence/cluster/character slices + [MEASURED] RP-limit extrapolations with must-fail control + [C] honest typing of the formal-limit remainder (Python-only per GATE.WOLFRAM.02).

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Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

ARF.SPINORCOMPILER.01Exact [E] finite algebra (integer/Fraction/F2 arithmetic; Lean companion ArfSpinorCompiler.lean, 23 kernel theorems; Python-only per GATE.WOLFRAM.02); the physical code->matter reading FENCED (killed by v775/ARF.ROOTCLASS.01).

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

E8.TRANSITIONBUS.01Exact [E] finite structure theorem (torsor + predicate + obstruction census) behind the interpretation fence ('transition bus / instruction set' language stays interpretation); no marker move (Python-only per GATE.WOLFRAM.02).

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Research Contract 2 — [formula in source]

tfpt research contracts

Original identifier and classification

CURVE.CODE.OUTERSPIN.01Exact [E] finite census theorem (torsor uniqueness incl. the tau/tau^2 swap; constant Arf resolution; exact transports) behind the structure-label fence; the inner identification stays dead (v784); no marker move (Python-only per GATE.WOLFRAM.02).

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Research Contract 2 — [formula in source]

tfpt research contracts

Original identifier and classification

SEAM.CLIFFORD.MODULAR_S.01Exact [E] cyclotomic coset/metaplectic identities (BFS certificates; exact tau = i relations) with the strict uniqueness census EMPTY by its own frozen gate -- the Arf defect unavoidable, a sharp typed fact; R2 placed, R3 named; no marker move (Python-only per GATE.WOLFRAM.02).

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

E8.TORSOR.FOURIER.01Exact [E] integer/cyclotomic character theory (canonical rays, exact Clebsch spectrum, exact overlap census) with the predeclared P3 failure typed -- the weight and character gradings mutually unbiased; ROOTCLASS-MIXED (v775) intact and re-confirmed; no marker move (Python-only per GATE.WOLFRAM.02).

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Research Contract 2 — [formula in source]

Research contracts

Original identifier and classification

NORMALFORM.CFIN.01Exact identity-grade normal form [Identity] with the built-in checked NEGATIVE (v775 ROOTCLASS-MIXED re-anchored via the 128-spinor counting bound + the saturated 8 + 7 census) and the typed P2 bridge: C_fin does NOT derive A1-A3 / the linearity scope / the v776 uniqueness selection -- P2 NARROWED to the v799 residual R1' ([C]), NOT eliminated; SPEC v2 declared (v836 precedent, no numeric result changed); no marker move (Python-only per GATE.WOLFRAM.02)

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The compiler clock alphabet in G₃₁

Research contracts

Original identifier and classification

E8.G31.CLOCK_ALPHABET.01Exact corpus compression + selectivity audit [typed evidence line: 19/19 checks, zero fails; the honesty line kept (degree-only audits cannot separate G31 from the reducible torus Z8 x Z12 x Z20 x Z24 -- frozen scope the irreducible rank-4 Shephard-Todd list); the Molien uniqueness and the full W(D5)-fence structural refutation CITED (v634), not recomputed; X1/X2 controls fire]; a normal form plus an armed kill rule for a deployed object; NO RH claim; no marker move (Python-only per GATE.WOLFRAM.02)

Topic connection recorded by an authored Atlas relation.

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