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

Certifiability and recommended order

Research contracts

Original identifier and classification

FTRANSFER.STT.01Exact [E] symbolic kill (parabolic + no-diagonalizable-log lemma) + [E] internal-pair confirmation ((2/3)^6 exact); the external clock contract confirmed and sharpened (Python-only per GATE.WOLFRAM.02).

No authored topic assignment in this snapshot.

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Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

GNET.PPINDEX.01Exact [E] index results (PP = 1/4 optimal, Watatani = 4 with forced quasi-basis weights; mu4 derived, not inserted) + [E] state-preserving Ramond healing + [M] outerness witnesses (Python-only per GATE.WOLFRAM.02).

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Certifiability and recommended order

Research contracts

Original identifier and classification

FTRANSFER.CLOCKS.01Executed preregistered search target (frozen 2026-08-04 [X]; executed + promoted 2026-08-05, v777): the K1 kill fired exactly as the frozen prior expected (NO-COMMON-CONNECTION); the fibered-groupoid refinement carries; the four observables stay [C]/[O]; no marker move (Python-only per GATE.WOLFRAM.02).

No authored topic assignment in this snapshot.

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Certifiability and recommended order

Research contracts

Original identifier and classification

FTRANSFER.KMSCOSET.01Theorem-grade [E] sympy-exact derivation chain + blind classification with the non-circularity of the classifier gated on its own source; completes the fiber classification of the executed clock contract; no marker move (Python-only per GATE.WOLFRAM.02).

No authored topic assignment in this snapshot.

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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

Research Contract 2 — [formula in source]

tfpt research contracts

Original identifier and classification

CARRIER.PETERSEN.RADIAL.01Exact [E neu] finite graph/matrix structure theorems (integer/Fraction; charpolys sympy-gated) behind the carrier-geometry fence; the 10-dim multiplicity prediction typed [H neu]; carries TRANSPORT.SIXTHROOT.01 (spectral-only decider)

No authored topic assignment in this snapshot.

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Boundary normalization through index and KMS data

Architecture, E8 and the electromagnetic fixed point

Original identifier and classification

P1.INDEX.KMS.01Exact [E] identity chain (formal Fraction x pi^k) + gated independence audit + measured finite evenness precursor; OPEN [O] contract with the one open bridge (even modular-response normalization) and the kill criterion named; c3 stays the P1 axiom

Topic connection recorded by an authored Atlas relation.

Read the statement, conditions and evidence

Group-theoretic audits (optional)

input 5 tfpt 3 e8 audit bootstrap

Original identifier and classification

K5.SIXSTEP.TRANSPORT.01Exact [E neu] operator identities and censuses (three spatial routes, sixth-power blindness, corpus census, bit-exact v221 location); [H neu] the walk-vs-clock reading and the T10 deployment proposal; dated BITEXACT correction to TRANSPORT.SIXTHROOT.01 carried

No authored topic assignment in this snapshot.

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Research Contract 2 — [formula in source]

Research contracts

Original identifier and classification

MESSAGE.LADDER.01Exact identity-grade compression [Identity]: both parts exact integer/Fraction/sympy arithmetic certified against the rebuilt lattice objects (h(E8) = 30 derived from the rebuilt root system, not cited); the (1/3)^6 typed gap re-affirmed with NO upgrade (v814 cited); no marker move (Python-only per GATE.WOLFRAM.02)

No authored topic assignment in this snapshot.

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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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Interpretation : the self-reproducing cosmic cycle

Origin Theory

Original identifier and classification

CCC.SEAM.KINEMATICS.01Certified kinematics dictionary [E] (fine types Identity/Formal (Moebius/D_4 algebra, Stinespring isometry, Hopf equivariance, commutant dimensions, symbolic Einstein/Weyl checks, KMS/detailed-balance identities, Theta-reality censuses -- exact on corpus objects) and Numerical (linking integrals, Obata scans, band arithmetic pinned); the CCC/cyclic READING itself stays [C] and is NOT upgraded; WOIT.OS.TWISTOR.01 stays [O] with all kill tests live)

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Interpretation : the self-reproducing cosmic cycle

Origin Theory

Original identifier and classification

CCC.SEAM.CROSSOVER.01Open contract [O] (research contract; the kinematic base [E] via v957; the dynamics = WOIT.OS.TWISTOR.01 gamma on the crossover geometry; D4 executed 2026-08-24 with a robust preregistered null -- no kill fired, no type change; the contract stays open via D1-D3)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence