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.
Search the complete foundation register
183 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.DECKSECTOR.01Exact [E] deck-sector trace identity (3.4e-16, scalar forced 1, must-fail x82); deterministic (Python-only per GATE.WOLFRAM.02).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceCertifiability 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.
Read the statement, conditions and evidenceCertifiability and recommended order
Research contracts
Original identifier and classification
FTRANSFER.COCYCLE.01[E] exact cocycle composition + [X] honest class-gate kill (0/4 matches, Lindblad escape refused); the second thermal-time route closed (Python-only per GATE.WOLFRAM.02).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceGroup-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 evidenceThe explicit mass gap closes dynamics and clustering
Standard Model and flavor structure
Original identifier and classification
GNET.LOCALNET.01Exact [E] finite net axioms + exact local index 4 + [C] the named continuum theorems (Python-only per GATE.WOLFRAM.02).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceCertifiability 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.
Read the statement, conditions and evidenceDie gesamte Abschlussklasse ist unendlich – ein globaler Satz
TFPT Gesamtsynthese 2026-09-28
Original identifier and classification
E8.ONEOBJECT.01Exact [E] lattice/discriminant-form census results and an exact [E] group-theoretic kill, both behind explicit fences; the c_3 link stays typed INTERPRETATION (no P1 derivation); no marker move (Python-only per GATE.WOLFRAM.02).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceCertifiability 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.
Read the statement, conditions and evidenceResearch 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 evidenceResearch 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.
Read the statement, conditions and evidenceBoundary 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 evidenceGroup-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.
Read the statement, conditions and evidenceResearch 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.
Read the statement, conditions and evidenceThe 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.
Read the statement, conditions and evidenceResearch Contract 2 — [formula in source]
Research contracts
Original identifier and classification
E8.WINDING.DECODER.01Honest promotion of an exact integer theorem [typed evidence line: 11/11 checks, zero fails, verdict WINDING-DECODER-EXACT; frozen spec SHA 6a54768d...]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 2 — [formula in source]
tfpt research contracts
Original identifier and classification
DOILY.PFAFFIAN.WICK.01Closed finite theorems [E] + one honest kill (the operative-30 reading); the Wick-compiler premise stays [O]; no marker move
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceInterpretation : 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)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceInterpretation : 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 evidenceEmbedding the specified finite dynamics in continuous time
Research contracts
Original identifier and classification
DYN.MARKOV.EMBED.01Contract [E] (finite kernel embedding, sympy-exact; v971) + [O] (field level)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceResearch Contracts — DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01 (the three meanings of ``dynamics'')
Research contracts
Original identifier and classification
TRANSFER.COHERENT.WILSON.01Identity [E] (executed half: unistochastic lift, Wilson code, center bridge, selectivity census) + literature [C]; branch selection and intertwiner open
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence