Independent research · Not yet peer reviewed

The Standard Model from one cell of foam.

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, the unique solution to Kelvin's space-filling problem. No constant in the spectrum is fitted.

B + V = D Axiom Zero — Bubble + Void = Displacement
Kelvin cell · 24 vertices · 36 edges · 14 faces (8 hex + 6 square) · drag to rotate
At a glance

Four numbers

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.

137.035999
α⁻¹, fine-structure constant
0.3σ from Cs (2018) · from cell integers
= 3
δPMNS / δCKM
exact, parameter-free · DUNE ~2035
0
fitted constants in the spectrum
every input is a topological integer
11
pre-registered falsifiable predictions
any one of them can end the framework
The claim, precisely

One axiom, one polyhedron, integer inputs

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.

An honest scope statement

The earlier framing — "60+ observables with zero free parameters" — has been retired: it does not survive a trials-factor (look-elsewhere) audit. What stands is a set of eleven pre-registered falsifiable predictions and a family of structural identities of varying derivational status, now under an ongoing look-elsewhere-corrected joint-χ² audit. Claims on this site are tagged by a four-tier status scheme so you can see exactly how far each one is established.

Tier 1 mathematical theorem Tier 2 derived given identifications Tier 3 >1.5σ tension Tier 4 suggestive / speculative
Falsifiability

How to kill it

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.

01

Find a dark-matter particle

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.

02

Find supersymmetry

Fourteen faces give exactly the Standard Model gauge content, with no room for superpartners. A single confirmed sparticle, at any energy, falsifies it.

03

Pin α to rubidium

\(\alpha^{-1} = 137.035999055\): 0.3σ from the caesium value, 1.4σ from rubidium. Confirm the rubidium value past 3σ and the closed form is dead.

04

Break the colour ratio

\(\delta_{PMNS}/\delta_{CKM} = 3\) exactly, from the colour factor \(C_A=3\). DUNE measures \(\delta_{PMNS}\). A confirmed ratio ≠ 3 at >3σ ends it.