HunchNeck

Reactive Substrate Theory (RST)Reactive Substrate Theory is an interpretive constraint framework designed to restore proportionality between mathematical formalisms and physical admissibility. It posits that physical systems are finite and embedded, governed by non-linear, dissipative responses.Unlike standard formalisms that treat geometry or wavefunctions as causal agents, RST enforces a Substantialist boundary: mathematical writability does not guarantee physical instantiation. This framework provides a mechanism to dissolve persistent paradoxes—such as the measurement problem and black hole information loss—by identifying them as artifacts of formal extensions beyond the regime of finite substrate response.The RST Coupled-Dynamics ModelThe following skeletal structure represents the foundational coupling between the substrate ($S$) and the propagating field ($\Psi$):1. Substrate Response (The Constraint Layer)Describes the dynamical evolution of the substrate, limited by non-linear saturation ($\beta S^3$) and driven by reactive feedback from the field:$$\partial_t^2 S - c^2 \nabla^2 S + \beta S^3 = \sigma(x,t) F_R(C[\Psi])$$2. Field Propagation (The Descriptive Layer)Describes the evolution of the field $\Psi$ as it is physically constrained by the local state of the substrate $S$:$$\partial_t^2 \Psi - v^2 \nabla^2 \Psi + \mu \Psi + \lambda |\Psi|^2 \Psi = \kappa S \Psi$$ ### First skeletal RST structure: $$\partial_t^2 S - c^2 \nabla^2 S + \beta S^3 = \sigma(x,t) F_R(C[\Psi])$$ ### Second coupled structure: $$\partial_t^2 \Psi - v^2 \nabla^2 \Psi + \mu \Psi + \lambda |\Psi|^2 \Psi = \kappa S \Psi$$