A transition function derived from a tension interface, with a sharp threshold: derivation and falsifiable signatures
Abstract
We derive, from a tension interface and with no adjustable parameter, the transition function relating the observed acceleration to the Newtonian acceleration in the low-acceleration regime. It differs qualitatively from the usual interpolating functions: it predicts a sharp threshold at a separation rt = √(2A), a steep transition (Newtonian dynamics to better than 10⁻³ below threshold, where MOND already shows an excess), and a plateau at γ ≈ 1.56–1.63 whose height is fixed by the baryonic content of the Milky Way. Two of these signatures are immediately testable on Gaia DR3. We provide the discriminating curves; we do not adjudicate the ongoing observational controversy.
How to cite
Côté, L. (2026). A transition function derived from a tension interface, with a sharp threshold: derivation and falsifiable signatures. Zenodo. https://doi.org/10.5281/zenodo.22005366
Part of a larger framework
This prediction is derived within the Theory of the Intersection of Fields, a geometric framework in which the acceleration scale that governs the low-acceleration regime follows from a single measured density rather than being posited.