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
QGEO.MODHAM.01Reduction [E]/[O] (modular bedrock)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceParticle charges and anomaly cancellation in one family
Research contracts
Original identifier and classification
CAR.SM.ANOM.01Identity [E] (spectrum+anomaly+RG) + [C]/[O] (S-matrix)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
QGAMB.CLUSTER.01Reduction [E]/[C]/[O] (gap-decoupled measure)
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.INJECT.01Reduction [E]/[O] (substrate sharpening)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GOLD.ATOMS.01Identity/Lattice [E] (spectral) + [C] (quasicrystal direction)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceHow the Coxeter sectors couple
Origin Theory
Original identifier and classification
COX.COUPLE.01Identity/Lattice [E] (cyclotomic Galois) + [C] (verdict)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GALOIS.READOUT.01Identity/Lattice [E] (cyclotomic CP) + [C] (physical identification)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GALOIS.FAMILY.01Identity/Lattice [E] (mu3+Galois orbit) + [C] (verdict)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
ARITH.CAPSTONE.01Synthesis/inventory [E] (arithmetic + {a;pi} reduction) + [O] (seam realisation)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
RATE.TRANSLATE.01Identity/Lattice [E] (number-field split) + [C]/[O] (functor verdict)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
TRANSLATE.CLOCK.01Synthesis/Identity [E] (clock factorization + hand arithmetic) + [C] (one-clock reading)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GALOIS.CP.PREDICT.01Identity [E] (Galois relation) + [C] (prediction) + [X] (kill test)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
KILL.BOARD.01Numerical/data [N] (forward decision ledger)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
GALOIS.CP.SHARPEN.01Identity [E] (node+multiplier) + [C] (budget) + [N] (tension) + [X] (kill test)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceWhen modular flow has a geometric interpretation
Origin Theory
Original identifier and classification
QGEO.BW.01Reduction [E]/[C]/[O] (BW geometric modular flow)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
HYP.FIBER.01Construction [E]/[C] (fibered substrate)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceHonest status
Origin Theory
Original identifier and classification
FORM.SEAMEQUIV.01Formal
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
QGEO.KEYSTONE.01Synthesis/reduction [E]/[O] (keystone-as-one-theorem)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
FR.SUITE.01Numerical/synthesis [E]/[C]/[I] (F_transfer solver suite)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
HYP.REWRITE.01Construction/proof [E]/[O] (cusp weight from a minimal rewrite)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence