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
GATE.UWALL.12Identity [I] (index-11 congruence + parity + reductions) + [P]/[A] (establishment of the two line pairings)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.METRIC.09Identity/Lattice [I]/[L] (duality, projector, orbits, fusion) + [P] (the one conformal-net step)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceHorizon readouts
Horizon readouts
Original identifier and classification
HOR.CLOCK.12Identity [I] (exact rigidity + closed-form ratio + audit coefficient) + [P] (finite-weight absorption)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.UWALL.13Identity [I] (atom identities + new closure) + [P] (the one lift map)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceStandard Model and flavor structure
Standard Model and flavor structure
Original identifier and classification
FLAV.QGEO.07Identity/Lattice [I]/[L] (exact cohomology action + parity match) + [P] (module identification)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceHorizon readouts
Horizon readouts
Original identifier and classification
HOR.CLOCK.13Identity [I] (model theorem + det'-clean bend + localisation) + [P] (measure identification)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.METRIC.10Identity [I] (exact census) + [P] (scoping conclusion)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.UWALL.14Identity [I] (cusp-frame anchor reading + equivalences) + [P] (the one assignment)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe seam and the horizon: the precise statement
Origin Theory
Original identifier and classification
SEAM.EHMODEL.01Identity [I] (model mechanism exact) + [A] (the theorem proper stays open)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe seam and the horizon: the precise statement
Origin Theory
Original identifier and classification
SEAM.EHMODEL.02Identity [I] (BFK/Kac algebra exact) + [A] (the theorem proper stays open)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe seam and the horizon: the precise statement
Origin Theory
Original identifier and classification
SEAM.EHMODEL.03Identity [I] (dimensional bookkeeping exact) + [A] (the anchor stays declared)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch Programme — the TFPT4D master route (one 4D transfer object instead of twenty formulas)
Research contracts
Original identifier and classification
ANCHOR.VGEO.02Identity [I] (scaling bookkeeping) + [A]/[O] (closed metrology: R_+ unit torsor; one calibration)
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.METRIC.11Identity/Lattice [I]/[L] (the extension theorem exact) + [P] (the seam-side identification)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GATE.METRIC.12Identity [I] (compression contraction + Wick) + [P] (the one shared free-field premise)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GATE.METRIC.13Identity/Lattice [I]/[L] (DtN + character identity exact) + [P]/[A] (free-bulk premise + net existence)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GATE.METRIC.14Identity/Lattice [I]/[L] (symbol homogeneity + rigidity count + |Z2| arithmetic) + [P] (the gapped flow reaching the fixed point)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GATE.METRIC.15Identity [I] (operator-dimension count) + [P] (basin/convergence of the gapped flow)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.METRIC.16Identity [I] (signed cumulant inversion + Wick functoriality + PF dichotomy) + [P] (the scope premise: v56 acts on the full cone)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.METRIC.17Identity [I] (Bogoliubov second-quantisation functoriality + cone gap = one-particle gap + fixed sector = Wick powers) + [P] (the one-particle symbol identification) + [C] (quasi-freeness forced by v158)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GATE.METRIC.18Identity [I] (gap forced by mu4-equivariance + spec(A0*); fixed = rank-8 Calderon) + [P]/[A] (A) factors into the already-open A2 (net existence) + R1 (seam clock)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence