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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.

These are authored navigation links. The complete register contains 783 active claims; 723 do not yet have an authored topic assignment and remain searchable.

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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.

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Research 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.

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Research 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.

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Research 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 evidence

Research 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.

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The 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.

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