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
75 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.
The weight typing premise of the carrier
TFPT — Introduction and reading guide
Original identifier and classification
P2.TYPING.01Formal/Identity [E] (AG arithmetic: Deligne residue-trace degree, BG dictionary, stability skeleton, Schur-Horn lattice points, Biswas Z3-cover -- sympy exact, Wolfram-mirrored) + [C] (R1 module identification, QGEO.SYM territory; R2 unitarity (U)) + [N] reference (R3 analytic monodromy, v117 check 4); AX.P2.01 stays Axiom
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceResearch Contract — CCC.SEAM.CROSSOVER.01 (the conformal-cyclic crossover on the seam geometry)
Research contracts
Original identifier and classification
VGEO.TORSOR.01Structural [E] torsor audit (export table, rank 1, lambda-homogeneity, leave-one-anchor-out 0.11%) with conditionalities named; closure in calibration form, NO scale derivation (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 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 evidenceResearch Contract 2 — [formula in source]
Research contracts
Original identifier and classification
FLAVOR.GRAPH.FILTRATION.01Exact [E] order-exact budget identifications (pure integers, exhaustive false-positive controls) with the entry-level reconstruction NEGATIVE; typed audit fingerprint at budget level
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
ANCHOR.AFFINE.01Exact identity-grade compression [Identity]: both parts exact sympy/integer arithmetic; the compression is a normal form of existing corpus surfaces (tfpt_1 anchor power compiler + budget lines, tfpt_2 flavor spectral selector + bilinear table); 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
E8.SIMPLEX.FOURIER.01Exact corpus compression [typed evidence line: 26/26 + 20/20 checks, zero fails, exact integer/Fraction/sympy arithmetic throughout; the identification typed SPECTRAL-only (the packet and code gradings do not refine each other); the spinor halving stays numerical fiat; q_wind(6) = 8 = det R typed a measured coincidence; the integer-window 2xsquare census measured, not narrated]; audits of DEPLOYED claims (v817/v833/v844, tfpt_2 I.5 keyboxes) -- normal forms and identities, no new physical claim; NO RH claim; 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
FLAVOR.FEEDBACK.NORMALFORM.01Honest promotion of an exact integer theorem [typed evidence line: 14/14 checks, zero fails, verdict FEEDBACK-NORMALFORM-EXACT; all decisions exact sympy; frozen spec SHA f5f40996...]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 2 — [formula in source]
Research contracts
Original identifier and classification
FORM.FLAVOR.FEEDBACK.01Formal [F] (Lean kernel; the action identities, the inverse-free conjugation, charpoly in Z[X], the SNF determinantal divisors -- with the Z2^2-not-mu4 typing doc-level)
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 Contracts — DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01 (the three meanings of ``dynamics'')
Research contracts
Original identifier and classification
TRANSFER.HIDDEN.CIRCULATION.01Identity [E] (executed half: fibre line, discriminator, criticality, EB no-go, KKT) + literature [C]; fibre-point selection open
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence(4) Constructive QFT closure of the admissible physical sector /
Standard Model and flavor structure
Original identifier and classification
QFT4D.OS.RECON.01Open (research contract; binding phrasing rule in force for the perturbative leg)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract — PRED.JOINTLIKELIHOOD.01 (from hit-counting to overdetermined relations)
Research contracts
Original identifier and classification
PRED.JOINTLIKELIHOOD.01Open (statistics-construction contract; v1 executed [N]; promotion conditions typed)
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 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 evidence