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.
The declared boundary normalization
TFPT — Introduction and reading guide
Original identifier and classification
AX.P1.01Axiom (declared input; reduces to the anchor a=(1,1,2)+pi)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe five slot carrier and its bootstrap conditions
TFPT — Introduction and reading guide
Original identifier and classification
AX.P2.01Axiom (declared input; over-determined bootstrap fixed point, Lean-forced)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
FORM.P2.02Formal
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe explicit D₅ and A₃ lattice construction of E₈
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
E8.GLU.01Lattice
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
E8.NUM.01Lattice
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
CAR.PAS.01Lattice
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
CAR.SM.01Lattice
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
CAR.UNIQ.01Lattice
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
BOOT.CLASS.01Lattice
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe positive solution of the alpha equation
TFPT — Introduction and reading guide
Original identifier and classification
EM.FP.01Numerical
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceArchitecture, E8 and the electromagnetic fixed point
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
EM.BUDGET.01Lattice
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe residue matrix and flavour transport budget
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
FLAV.R.01Lattice
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe connected Q, K, R and L flavour operators
Standard Model and flavor structure
Original identifier and classification
FLAV.KQ.01Lattice
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidence=150 2026-07-31 (II) (the No-Carrier-Reconstruction audit, Stage A: the anchor self-code is carrier-free, and [formula in source] reconstructs up to ONE binary sheet-coupling choice (RECONSTRUCTS-TO-FAMILY) + v567 promoted + ledger/paper/diary/website sync)
TFPT — Introduction and reading guide
Original identifier and classification
FLAV.QGEO.01Physical (conditional; sharpened)
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.H2.01Lattice
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.TH12.01Numerical
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe dual anchor and solar mixing response
Standard Model and flavor structure
Original identifier and classification
FLAV.SOLAR.01Numerical
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceStandard Model and flavor structure
Standard Model and flavor structure
Original identifier and classification
FLAV.RESOLV.01Lattice
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.QUARK.01Numerical
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.UFSTAR.01Numerical
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence