Theory of the Intersection of Fields
A Structured Exposition
Abstract
This document sets out a geometric framework in which the masses, charges and coupling constants of physics are not free parameters but consequences of the geometry of a codimension-one interface where three equivalent fields meet. From a small set of measured densities — the vacuum energy density and the nuclear saturation density — together with geometry, the framework derives the fine-structure constant (to 0.3%), the Weinberg mixing angle (sin²θW = 3/8 at unification), the galactic acceleration scale a₀ without dark matter, and the algebra of the three forces, u(1) ⊕ su(2) ⊕ su(3). It makes falsifiable predictions, each with its judge: primordial helium Yp = 63/256 = 0.2461 (+0.2σ), the vacuum share ΩΛ = 2/3, an absolutely stable proton, a minimum black-hole mass of 1.1×10²² kg, and the switch-off of the modified regime below a fixed scale. Every claim carries an explicit status — derived, candidate, or debt — and the framework names what it does not yet derive. The exposition is organised by the logic of the framework rather than the history of its construction.
How to cite
Côté, L. (2026). Theory of the Intersection of Fields: A Structured Exposition. Zenodo. https://doi.org/10.5281/zenodo.22668459
A companion prediction
A focused, immediately testable consequence of the framework — a sharp threshold in the low-acceleration regime, checkable on Gaia data — is set out separately in A transition function derived from a tension interface.