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 contracts
Research contracts
Original identifier and classification
FLATAWAY.HEAT.01Reduction [E] (positive-definite heat form) + [O] (one external invariant a_2)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
FLATAWAY.SPEC.01Strengthening [E] (Hessian PD over full Z4 space) + [O] (pin the spectrum)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
FLATAWAY.ENERGY.01Reduction [E] (convex energy, unique minimiser) + [C] (Troyanov) + [O] (variational premise)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
FLATAWAY.A2.01Proof [E] (convexity positive-definiteness + exact kernel) + [O] (one external invariant)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 1 — [formula in source]
tfpt research contracts
Original identifier and classification
FORM.FLATAWAY.01Formal
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
FLATAWAY.A2.CLOSED.01Closed form [E] (geometric tail + finite middle)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 1 — [formula in source]
tfpt research contracts
Original identifier and classification
FLATAWAY.RIGID.01Spectral rigidity [E] + (E8)_1 pin [C]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 1 — [formula in source]
tfpt research contracts
Original identifier and classification
SEAM.EQUIV.A.INV.01Free-fermion invertibility [E/C] (topological-order discharge)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Contract 1 — [formula in source]
tfpt research contracts
Original identifier and classification
SEAM.EQUIV.GAP.01Derived spectral gap [E] + OS/clustering [C]
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
FR.DYNAMICS.01Dynamical-systems unification [E/C] (one shape / one seam-rate)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
SEAM.EQUIV.A.LIT.01Theorem stack [E] (citable composition) + [O] (one shared hypothesis)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceTFPT — Introduction and reading guide
TFPT — Introduction and reading guide
Original identifier and classification
E8.NETWORK.01Reading [E] (marks attractor + tower + cascade) + [C] (Wolfram substrate) + [O] (rewrite-to-full-structure)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceTFPT — Introduction and reading guide
TFPT — Introduction and reading guide
Original identifier and classification
HYP.0D.01Bridge [E] (hypergraph facts, Smith, Collatz-Wielandt, controls) + [E*] (autonomous rule under seed+policy) + [O] (the seed = P2)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceTarget F — the perturbative 4D-QFT [formula in source] scale round (v269–v275)
Red-team audit
Original identifier and classification
QGAMB.IDG.01Open (conditional narrowing of the perturbative Stelle-ghost attack; NOT a QG.AMB.01 closure)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceRed-team audit
Red-team audit
Original identifier and classification
WITNESS.ECON.01Identity/Numerical [I]/[N] (structural firewall)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceRed-team audit
Red-team audit
Original identifier and classification
SEED.CROSSVAL.01Numerical [N] (out-of-sample cross-validation)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceRed-team audit
Red-team audit
Original identifier and classification
SEED.CROSSSECTOR.01Numerical [N] (cross-sector consistency statistic)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceRed-team audit
Red-team audit
Original identifier and classification
SEED.LEPTONMASS.01Numerical [N]/[C] (new-sector seed consistency statistic; source->pole transport-conditional)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
DATA.WATCHDOG.01Numerical/data [N] (decision pipeline)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
SEAM.EQUIV.CHAIN.01Reduction/certificate [E]/[O] (composition)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence