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]
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.MINIMAL.MEDIATOR.01Dead reading registered [Identity/Numerical] (negative result): rank 1 suffices -- the minimal-mediation reading of N_fam = 3 is refuted; purity pins 3 as dimension bookkeeping; 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.TWISTED.RP.01Measured complete census [Numerical] (negative result): 0 of 6 admissible twisted reflections admit strict RP at t > 0; 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 evidenceResearch Contract 2 — [formula in source]
tfpt research contracts
Original identifier and classification
SEAM.CFIN.GAP.PENCIL.01Measured exact pencil identity [Identity/Numerical]: t_gap as a generalized eigenvalue with Sturm uniqueness; three surfaces one variety; 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.MARGINAL.STABILITY.01Measured covariant exclusion [Identity/Numerical]: interior empty (exact +-a_J law), floor exchange Pf4 = (eps - 1/200)(eps + 1/200); escape only by symmetry breaking at price 2 eps; 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.NESS.PARENT.01Demand closed NOT-NEEDED [Identity/Numerical]: equilibrium J/Z witnesses carry the full 1/200 mixing at zero entropy production; the deployed wiring is PURE-I (maximally obstructed); wiring-selector contract registered; 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.STATE.WIRING.SELECTOR.01Contract closed as measured freedom theorem [Identity/Numerical]: one admissible wiring orbit (C_rot), Z/X excluded gauge-invariantly; pure-I = deployment representative; RP exclusion frame-relative (option 2); 'pure-I is compiler-forced' FORBIDDEN; [O] premise of v898/v903 unmoved; no marker move
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceInterpretation : the self-reproducing cosmic cycle
Origin Theory
Original identifier and classification
CCC.SEAM.KINEMATICS.01Certified kinematics dictionary [E] (fine types Identity/Formal (Moebius/D_4 algebra, Stinespring isometry, Hopf equivariance, commutant dimensions, symbolic Einstein/Weyl checks, KMS/detailed-balance identities, Theta-reality censuses -- exact on corpus objects) and Numerical (linking integrals, Obata scans, band arithmetic pinned); the CCC/cyclic READING itself stays [C] and is NOT upgraded; WOIT.OS.TWISTOR.01 stays [O] with all kill tests live)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceInterpretation : the self-reproducing cosmic cycle
Origin Theory
Original identifier and classification
CCC.SEAM.CROSSOVER.01Open contract [O] (research contract; the kinematic base [E] via v957; the dynamics = WOIT.OS.TWISTOR.01 gamma on the crossover geometry; D4 executed 2026-08-24 with a robust preregistered null -- no kill fired, no type change; the contract stays open via D1-D3)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe gap between a boundary net and local spacetime physics
Research contracts
Original identifier and classification
DIMENSION.UPLIFT.FIREWALL.01Firewall (standing discipline rule, in force; the uplift theorems it names stay Open)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceFirewall Contract — DIMENSION.UPLIFT.FIREWALL.01 (no [formula in source] D theorem closes a [formula in source] D claim)
Research contracts
Original identifier and classification
SEAM.BULK4D.RECON.01Open (research contract)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceEmbedding the specified finite dynamics in continuous time
Research contracts
Original identifier and classification
DYN.MARKOV.EMBED.01Contract [E] (finite kernel embedding, sympy-exact; v971) + [O] (field level)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe unitary extension of the specified dynamics
Origin Theory
Original identifier and classification
DYN.UNITARY.DILATION.01Open [O] + finite ladder complete [E]/[N] (discrete/kernel/field-free/interacting-classical/quantum-coupled/continuous-time; open = thermodynamic field limit only)
Topic connection recorded by an authored Atlas relation.
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 evidenceResearch Contracts — DYN.MARKOV.EMBED.01 / DYN.UNITARY.DILATION.01 (the three meanings of ``dynamics'')
Research contracts
Original identifier and classification
TRANSFER.COHERENT.WILSON.01Identity [E] (executed half: unistochastic lift, Wilson code, center bridge, selectivity census) + literature [C]; branch selection and intertwiner 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 evidenceChiral lattice matter and the mirror sector
Frontier and open physical interfaces
Original identifier and classification
CHIRAL4D.NOMIRROR.01Open (research contract; 1+1D chiral Gauss census executed; SMG mechanism toy-proved [E]; Nielsen-Ninomiya as Gauss statement; 4D Spin(10) theorem stays [O]; no 3+1D closure) | Round-3 v1023 adds an exact finite block lemma [E]/conditional GW reading [C]; NOMIRROR remains Open [O].
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidence