UFFT derives the dimensionless constants of the Standard Model, general relativity and cosmology from the geometry of a single Planck-scale cell — the truncated octahedron, Kelvin's proposed cell for his space-filling problem. No constant in the spectrum is fitted. The particle assignments are identifications, not derivations: the attempted derivation of the Standard Model Lagrangian from the lattice (Papers #59, #60) was withdrawn as proof in October 2026 after an external audit, and the framework document records what the audit found.
Each is computed from the integer topology of the cell. Full derivations on the Theory page; every value, with its status tier and distance from experiment, on Predictions.
Treat space as an infinite pre-existing foam at the Planck scale. Every event is a
displacement in that foam: B + V = D. Fill space with equal
cells at minimum surface area and the cell is forced — it is the truncated octahedron
(Kelvin cell). Its face Laplacian has a spectrum fixed entirely by the
cell's integers: \(|O_h| = 48\), \(V = 24\), \(E = 36\), \(F = 14\) (8 hexagons, 6 squares),
\(d = 3\). The Standard Model's dimensionless ratios are read off that spectrum.
The framework is rigid: changing any cell integer by ±1 moves a headline number by ≥1%. That rigidity is the point — here is what a single measurement would have to do.
UFFT says dark matter is lattice anisotropy, not a particle — LZ, XENON and ADMX stay empty. One confirmed WIMP or axion and the picture is wrong.
Fourteen faces give exactly the Standard Model gauge content, with no room for superpartners. A single confirmed sparticle, at any energy, falsifies it.
\(\alpha^{-1} = 137.035999055\): 0.3σ from the caesium value, 13.7σ from rubidium. The two measurements disagree at 5.5σ. Confirm rubidium independently and the closed form is dead.
\(\delta_{PMNS}/\delta_{CKM} = 3\) exactly, from the colour factor \(C_A=3\). DUNE measures \(\delta_{PMNS}\). A confirmed ratio ≠ 3 at >3σ ends it.