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
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).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe Gaussian code and four bit information space
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
E8.GAUSSCODE.01Exact [E] SNF/census/semantics identities + [E, kill] three must-fail controls (exact arithmetic; 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]
tfpt research contracts
Original identifier and classification
E8.GAUSSIAN.CODE.01Review contract; first slice machine-closed [E] (v689); remaining: theorem writeup.
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
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 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 evidenceGroup-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).
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
CURVE.CODE.2TORSION.01Exact [E] finite algebra + certified-recognition CM layer; the correspondence honestly PARTIAL with both breaking layers named exactly (syntheme-vs-duad and Arf 0-vs-1); 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
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).
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 evidenceGroup-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).
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
E8.SYNDROME.ALGEBRA.01DEAD as frozen [E kill, preregistered adjudication fired]: the twisted V-graded basis reading of E8 killed at rank level; the surviving structures typed exactly; successor criterion named
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch 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)
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 evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
CFIN.QSTAR.NORMALFORM.01Exact identity-grade theorem [Identity]: closed boolean normal form, census-free derivation; 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]
Research contracts
Original identifier and classification
CFIN.AUT.FLAVOR.C6.01Closed finite theorem [E] (the intertwiner exists and is exact; the exponent reading is typed as consistent, not as the unique derivation); no marker move
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.CFIN.WICKFUNCTOR.01Open contract [O] (structure exact, obstruction proved, block candidate constructed; the physical mixing mechanism is the demand)
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.CFIN.KMSMIX.01Constructed candidate + exact generation identity [Numerical/Identity]: the mixing demand answered at candidate level; RP-THETA-OPEN measured exclusionary at family level (v903); the [O] premise unmoved
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.STATE.DERIVATION.01Measured carving [Numerical/Identity]: RP and mixing mutually exclusive; u >= t forced; the modular locus is one point; no marker move
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.CFIN.MIXING.NORMALIZATION.01Dead reading registered [Numerical] (negative result): the t = 1/8 reading is a decoration -- allowed set unbounded and pin absent; no marker move
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.CFIN.RP.DILATION.01Measured split [Numerical/Identity]: a marginal cone-boundary witness with the exact 1/200 floor; the strict collar route obstructed by an exact linear law; no marker move
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence