TFPT's discipline is that nothing is marked closed that is not machine-verified, and no dimensionful quantity is claimed as a derivation from pure numbers. The authoritative, per-claim status is the versioned ledger
verification/status_ledger.csv; this page is the human-readable summary. When in doubt, the ledger wins.
Not everything here has the same epistemic status — and saying so is the point. The five strongest statements, made explicit:
| Claim | Result | Status |
|---|---|---|
E8 closure |
(D5 ⊕ A3) + μ4 ≅ E8, 240 roots, glue index 4 |
Exact — machine-proven lattice identity [E] |
| Number of generations | N_fam = 3 |
Exact within the compiler — = rank A3 = dim H₁(P¹∖μ4) [E] |
| Fine-structure constant | α⁻¹ = 137.0359992 |
Exact numerical identity — unique root of the boundary Ward identity, interval-verified [E] (1.9σ from CODATA-2022) |
| Physical origin of the seam | the 1/(8π) area law / SEAM.EQUIV.01 |
Open — closed modulo a cited theorem, not proven end-to-end [O] |
| Cosmic birefringence | β = φ₀/(4π) ≈ 0.2424° |
Falsifiable prediction — frozen, decided by CMB polarimetry [X] |
Read this as: the discrete/algebraic compiler is closed and exact; the physical identification
of the boundary object is the honest open frontier; and there are sharp numbers that observation
can kill. See FALSIFICATION.md for the kill tests and
OPEN_PROBLEMS.md for the frontier.
Used consistently across all documents and the ledger. The documents show a simplified four-class display marker; the ledger keeps the fine-grained per-claim type (Axiom / Formal / Lattice / Numerical / Identity / Physical), so no fidelity is lost.
| Display marker | Meaning | Ledger fine types it covers |
|---|---|---|
[E] |
exact / machine-proven | Identity, Lattice (Lie/lattice), Formal (Lean), Numerical |
[C] |
conditional (holds under named hypotheses) | Physical, bridge, readout |
[O] |
open / axiom (declared input or genuine gap) | Axiom |
[X] |
falsifiable kill test | — |
The ledger is append-only and versioned: superseded rows are marked active=false with a
canonical_status pointer, so the current authoritative status of any claim is unambiguous. A
status marker is never silently upgraded.
| Layer | Content | Status |
|---|---|---|
| 1. Closed compiler | E8 glue, carrier, α⁻¹, (R,K,Q,L), lepton/quark ratios |
[I]/[L]/[N] |
| 2. Protected IR physics | R+R², admissible gapped transfer sector; the boundary QFT as one relative object |
[I]/[P] |
| 3. Anchors | π, one dimensionful induced-gravity scale, U_point absolute amplitude norm |
[A] (declared, not "missing") |
| 4. Interfaces | m_p/m_e, η_B (leptogenesis), Koide, axion relic, full ambient QG measure |
[P]/[A] |
Every script cited in verification/run_all.py is also cited inline
in the theory documents via \veri{vN_*.py} (enforced in both directions by
verification/audit_sync.py), and the status heatmap is generated
directly from status_ledger.csv. So the papers, the suite, the ledger and the website stay in
lock-step: a claim cannot appear in a paper without a machine check behind it, and a check cannot
exist without a ledger row typing its status.
- 472 numbered claim checks (
v1_*.py … v472_*.py), one per claim cluster. - Independent Wolfram path (
116/116base,368/368extension) re-derives the exact algebraic/identity/lattice results on a second engine. - Lean 4 machine-formalises the carrier-rigidity core (
[F]): nosorry/admit; every headline theorem's#print axiomsreturns only the three standard kernel axioms. - Red Team (
redteam/run_redteam.py) actively tries to break the five load-bearing reductions.
See VERIFICATION.md to reproduce any of this.