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.
Start with the published construction
The foundations include the carrier, E₈, flavour, alpha, quantum structure, gravity and cosmology. Open an area to follow its registered statements into the papers and verification sources.
- Seam, origin and declared inputsBoundary inputs, the common anchor and source selection.
- Carrier, families and E8 closureThe particle carrier, lattice matching and E₈ closure.
- Interlocking clocksFinite clock actions, their couplings and dynamics.
- Standard Model and flavorParticle charges, source mass ratios and mixing.
- Fine-structure constantThe response equation, its root and physical interpretation.
- Quantum and boundary structureCodes, finite quantum geometry and field structure.
- GravityEntanglement, geometric flow and gravity interfaces.
- CosmologyInflation, baryon density and vacuum energy readouts.
- Tests and predictionsWhat the formal and numerical checks establish.
- UniversalraumA common process, state and observable source.
- MetrologyHow dimensionless relations meet physical units.
- SpacetimeFrom internal structure to local physical spacetime.
- Process and compilationCompiler operations, responses and their assumptions.
These are authored navigation links. The complete register contains 783 active claims; 723 do not yet have an authored topic assignment and remain searchable.
Search the complete foundation register
783 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.
Research 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 evidenceResearch Contract 2 — [formula in source]
tfpt research contracts
Original identifier and classification
CFIN.UNIQUE.01Exact identity-grade uniqueness theorem [Identity] for the finite compiler object: exhaustive finite verification over F_2^4 (no floats, no RNG, no fit; orbit-stabilizer exact); the strict terminal-object reading FAILS honestly and is typed (unique up to NON-unique isomorphism, a one-object groupoid); P2 stays NARROWED to the v799 residual R1' (why THIS normal form), NOT eliminated; 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
ARF.VACUUM.SYNDROME.01Exact identity-grade compression [Identity]: both parts exhaustive finite algebra (F_2 / Z / Q; SNF, Penrose axioms, S6 class characters exact; SET equalities, not counts); the corpus surfaces v819/v820/v821/v834/v535/v785 compressed into ONE two-bit syndrome table and the v774/v814 doily channel into ONE integral decoder; controls fire (dot form, Arf-0 labeling break, frozen-LCG permutation/pairing); 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
ARF.BENT.CSS.01Exact identity-grade compression [Identity] with the operator-level relation bridge typed HONESTLY as classical incidence algebra (mu*log = Lambda in matrix clothes -- the value is the packaging + the four-comb discipline transport at operator level, NOT new mathematics); the -4 triple point is ONE machine-checked integer (Hecke = Gauss = Walsh = a_3); the bent/character MUB partner of v800 REPORTED with no upgrade; controls fire; 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 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
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
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]
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
E8.SHELL.GLOBAL.01Honest promotion of a proved shell law [typed evidence line: 15/15 checks, zero fails, verdict SHELL-GLOBAL-THEOREM; frozen spec SHA a4b2f6d9...]
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.E8.SHELL.GLOBAL.01Formal [F] (Lean kernel; the consequence chain from the named ShellSystem hypotheses -- every statement an exact integer identity)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 2 — [formula in source]
Research contracts
Original identifier and classification
GATE.LEDGER.01Identity [I] (CSV integrity sentinel; frozen baselines remove-only)
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
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 evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
DOILY.ANCHOR.CLASSIFY.01Exact identity-grade theorem [Identity]: the anchor law characterizes the doily among ALL 35 lines (exclusivity census 15 + 10 + 10); no marker move
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
DOILY.HODGE.FACTOR.01Exact identity-grade theorem [Identity]: the incidence geometry IS the Clifford multiplication; no marker move
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
P2.QUADRATIC.EXHAUSTION.01Exact algebraic theorem [Identity] with the [O]/[C] physical premise EXPLICITLY typed and NOT claimed: P2 unchanged
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 2 — [formula in source]
Research contracts
Original identifier and classification
DOILY.PLUCKER.GR25.01Closed finite theorems [E]: four exact statements; the physical vacuum-selection mechanism stays [O]; no marker move
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
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 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 evidence