This technical document presents a first-principles derivation of the 10^57 ratio between gravitational and electromagnetic substrate inertia within the Rotational Substrate Field Theory (RSFT) framework. By treating substrate inertia (B) as a scale-dependent effective parameter rather than a global constant, the author resolves the hierarchy problem identified in previous foundational sections. Key developments in this section include: Self-Consistency Equation: The derivation of an explicit form for g (r, ), governed by a self-consistency condition between local energy density and substrate inertia. Phase Transition Mechanism: Identification of a discrete "snap" or phase transition at a critical frequency (c), which is established as the geometric mean of the electromagnetic and dark-matter vortex bands. Geometric Closure: Numerical and algebraic closure of the hierarchy ratio using the cuboctahedral bond geometry (12³) and the pole structure of the back-reaction formalism, requiring no new parameters or fine-tuning. Physical Interpretation: A description of how spinning vortex-solitons maintain their own high-stiffness environment through rotational stress and back-reaction. This document is a companion to RSFT Version 3. 5. 1 - 6. 5. 1
Anthony Bell (2026) studied this question.