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.
Massen und Yukawa-Kopplungen aus derselben markierten Struktur
TFPT Gesamtsynthese 2026-09-28
Original identifier and classification
FLAV.RIGID.01Identity [I] (rigidity) + [A] (U_point)
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.02Identity/Lattice [I]/[L] + [P] geometry
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
SEL.THM.01Lattice [L] + selection [P]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe EM closure: [formula in source] as an explicit fixed point (made explicit here)
Architecture, E8 and the electromagnetic fixed point
Original identifier and classification
EM.WARD.01Identity [I] + physical origin [P] (sharpened to a Quillen form by v341; to a heat-kernel origin by v342)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceOrigin Theory
Origin Theory
Original identifier and classification
SEAM.EQUIV.CONTINUUM.02Sharpening [E]/[O] (the order-4 clock + Coxeter-match pin E8 over SO(16); the residual is purely the chiral-edge existence)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
VGEO.SHARPEN.01v_geo capstone [E]/[O] (Direction 6: v_geo the single dimensionful input across matter+gravity, irreducibly primitive by No-Unit; final tally 0 dimensionless dials + 1 unit + pi vs SM ~26)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
GRAV.BACKREACT.01Backreaction result [E]/[C]/[O] (Direction 5: carrier gravitational anomaly c_-=8 forced + finite backreaction -> Lambda from alpha, loop closes; no new SM-quantum-number read-out -> declined per v354/v355)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
GRAV.GAPCORR.01Gap-correction result [E]/[C]/[O] (Direction 2 declined: the calculable GR deviation is the R^2 scalaron already falsifiable via n_s/r; a new gap coefficient is not atom-forced -> declined per v354/v355)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
GRAV.NONLINEAR.01Full covariant Einstein equation [E]/[C]/[O] (parameter-free: 8pi=1/c3 + Lambda from alpha; Einstein tensor via fixed-volume equilibrium + Lovelock conservation; B6 closed at local level; residual = equation-of-state status + C7 global measure)
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceThe conditional entanglement route to linearized gravity
Research contracts
Original identifier and classification
GRAV.ENTROPY.EQUILIBRIUM.01Entanglement-equilibrium gravity [E]/[C]/[O] (parameter-free linearised Einstein 8pi=1/c3; thermo=geo coincidence via |mu4|=|Z2|chi; J3 assembled; entropy density atom-fixed; residual = nonlinear + v_geo)
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceResearch Contract 1 — [formula in source]
tfpt research contracts
Original identifier and classification
SEAM.EQUIV.CONTINUUM.03Continuum chain assembly [C]/[E]/[O] (edge-existence reduced via anomaly inflow; residual = lattice realization tied to seam one-sidedness; B already closed by v40)
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
QGAMB.SADDLE.01QG measure reduced to a one-loop Gaussian problem around the parameter-free saddle [E]/[C]/[O] (residual = the non-perturbative projective limit)
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.MMST.INCLASS.01SEAM.EQUIV.01 reduced to the single S3 lattice-realisation input; MMST in-class verified for the collar [E]/[C]/[O]
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
GRAV.SPIN2.UNITARITY.01perturbative graviton unitarity sector-by-sector (spin-2 ghost-free via the entire KMS form factor, spin-0 via GHP) [E]/[C]/[O]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
SEAM.S3.LATTICE.01S3 realised as an explicit gapped chiral-Majorana lattice model (numerical Chern |C|=1, c_-=8, det K 4->1) [E]/[C]/[O]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceResearch contracts
Research contracts
Original identifier and classification
SEAM.S3.INFLOW.01edge existence forced by the invertible bulk (anomaly inflow) -- realised non-gappable chiral edge on the lattice strip [E]/[C]/[O]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
FR.POLE.SOLVE.01Koide source->pole: standard QED running EXCLUDED (wrong sign) -- the transfer is the non-QED 53/54 operator/Moebius generator [E]/[C]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
FR.BOLTZMANN.SOLVE.01eta_B from the integrated BDP Boltzmann ODE at the frozen M1 -- near-hit (factor ~1.1) with no M_R dial [C]/[X]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
FR.RELIC.SOLVE.01axion relic finite-T solve DECIDES the branch -- spine 3pi/5 lands on Omega_DM (in band), hilltop 170deg over-produces [C]/[X]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidenceFrontier and open physical interfaces
Frontier and open physical interfaces
Original identifier and classification
FR.QCD.BUDGET.01m_p/m_e uncertainty budget: the observed 1836.15 is inside the propagated +-7.5% (alpha_s, C_p) band; lattice-tightening is the kill [C]/[N]/[X]
No authored topic assignment in this snapshot.
Read the statement, conditions and evidence