This document presents a complete derivational account of the substrate framework. The starting point is a minimal set of assumptions: a Lorentzian manifold, a shift symmetric phase field, matter fields that admit a semiclassical limit, and a single derivative coupling between the phase and the matter. From these four ingredients one can derive the unique semiclassical geometry, the worldline action, the modified geodesic equation, the stochastic dynamics of the phase field, the equilibrium distribution, the H theorem, the Born rule, the Schrödinger equation, the hydrogen spectrum, the cosmological transport law, path dependent redshift, directional anisotropy, Karlsson periodicity, and the static eternal cosmology. The framework produces nine independent falsifiable predictions. No additional postulates are required. Each layer follows from the one beneath it. The result is a unified geometric structure linking quantum mechanics, gravitation, and cosmology.
Smith et al. (Wed,) studied this question.