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.
Claims without an authored topic assignment
723 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.
Research Programme — the TFPT4D master route (one 4D transfer object instead of twenty formulas)
Research contracts
Original identifier and classification
SEAM.SIMPLECURRENT.GENERATOR.01Open [O] + lattice shadow [E] (v983) + quantitative S1/S2 skeleton [E-measured] + reduction-to-cited-class [C conditional] + MMST criteria 5/7 executed [E-measured] (v994) + C6 written-out [C]; open rest = C7 modular invariance + net-level G2/G3/G4; no closure
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFull quantum gravity — induced from the boundary kernel
Frontier and open physical interfaces
Original identifier and classification
TFPT4D.LATTICE.ACTION.01Open (research contract; T1-T7 harness + Euclidean T2 kill + Hamiltonian-route T2 clearance executed at toy level; no gate closed)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — SEAM.DETLINE.UNIFICATION.01 (the determinant-line unification hypothesis)
Research contracts
Original identifier and classification
SEAM.DETLINE.UNIFICATION.01Open [O] + finite bulk-edge shadow [E] (2+1D/1D QWZ; continuum Bismut-Freed stays Open)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe hard reduction: the live residual as typed interfaces
TFPT — Introduction and reading guide
Original identifier and classification
GAUGE.DETLINE.FIXPOINT.01Open (research contract; naive grammar extension excluded [E]; genuinely nonabelian structure required -- typed; alpha_s(M_Z) currently an external input)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceNeutrinos
Standard Model and flavor structure
Original identifier and classification
FLAV.NUSCALE.06Candidate [C]/[N] + mechanism [O] (pentagon-class misalignment; no seesaw closure; FLAV.NUSCALE.05 unmoved)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe hard reduction: the live residual as typed interfaces
TFPT — Introduction and reading guide
Original identifier and classification
FLAV.NU.TEXTURE.MECHANISM.01Open (research contract; both structural nulls are binding constraints; NUSCALE.05/.06 unmoved) | Round-3 v1024 provides a finite parent-internal witness [E/N]; the physical texture/scale remains Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe hard reduction: the live residual as typed interfaces
TFPT — Introduction and reading guide
Original identifier and classification
SEAM.MILNOR.LOCALRING.01Open (research contract; canonical geometric identification of the raw seam collar with F2[y,z]/(y^2,z^4) unproven; Milnor algebra + exponents classical)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe hard reduction: the live residual as typed interfaces
TFPT — Introduction and reading guide
Original identifier and classification
GRAV.WEINBERG.WITTEN.01Open (research contract; binding firewall before any spin-2 marker move; no script)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe hard reduction: the live residual as typed interfaces
TFPT — Introduction and reading guide
Original identifier and classification
E8.DIRECTED.READOUT.01Proven finite statement [E] (Identity, exact over Z/Q via sympy); C7 Gauss-code transform stays OPEN (rem:c7-audit); NO RH claim
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — SEAM.BULK4D.RECON.01 (from seam data to a 4D local quantum theory)
Research contracts
Original identifier and classification
BULK.PRIME_COMPLETION.01Open (research contract)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceTEL-B reduction (2026-09-04)
Research contracts
Original identifier and classification
SEAM.MMST.TELB.C1C2A.01Proven subclaims [E]: C1 native interval certificate plus analytic axis bound; C2a analytic all-even-N theorem plus outward constant certificate. Parent contracts remain Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceTEL-B reduction (2026-09-04)
Research contracts
Original identifier and classification
SEAM.MMST.TELB.ROUND3.01Mixed: TV interval-certified [E]; C2b scalar reduction is analytic proof plus Arb arithmetic [E]; old ALG2 implication refuted [X]; CF/DG, ALG-EXH, MMST and TOE remain Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — CHIRAL4D.MIRROR.DET16.01 (DET16 rank-one projector, finite cluster)
Research contracts
Original identifier and classification
CHIRAL4D.MIRROR.DFILTER.BLOCK.01Proven finite block identity [E]; GW/gauge reading conditional [C]; DET16 [C], NOMIRROR [O], T4 and TOE [O] unchanged.
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceNeutrinos
Standard Model and flavor structure
Original identifier and classification
FLAV.NU.PARENT.INTERTWINER.01Proven finite witness [E/N]; physical neutrino texture and scale remain Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — GRAV.SPIN2.EMERGENCE.01 (massless transversal spin-2 from the same spectral determinant)
Research contracts
Original identifier and classification
GRAV.PARENT.GAP.NO_GO.01Proven finite no-go/boundary [E]; massless spin-2 emergence, Ward identities and universal coupling remain Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — FTRANSFER.SK.RHO0.01 (Schwinger–Keldysh completion: cosmological transfers need [formula in source] )
Research contracts
Original identifier and classification
FTRANSFER.PARENT.Z5CAP.01Finite candidate and exact algebraic boundaries [E/N]; global rho_0, Gauss-projected Weyl realization and unique SK functional remain Open [O].
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceT2: uniform relaxed TEL-B theorem.
Research contracts
Original identifier and classification
SEAM.MMST.TELB.NORM.01Identity (analytic theorem with native interval certificate; fixed regulator)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceT3/T4: canonical DET excitations and the signed wall.
Research contracts
Original identifier and classification
CHIRAL4D.MIRROR.SIGNED.CAR.01Identity (conditional Hamiltonian-class and exact finite regression)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceT6/T8: full Gauss counts, internal cap and selection rules.
Research contracts
Original identifier and classification
PARENT.GAUSS.D4.ROUND4.01Identity (exact finite projected counts and conditional symmetry obstructions)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceT7: local constraints and zero-mode removal.
Research contracts
Original identifier and classification
GRAV.SPIN2.LOCAL.CONSTRAINT.01Identity (quadratic target only; global zero-mode prescription required)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence