RZGM: A Foundational Meaning-Equilibrium Layer

This foundational note develops RZGM as the meaning-side equilibrium layer of the MOBIUS framework. It formalizes the project’s earlier concept of “meaning equilibrium” through a meaning potential Φ, an admissible local equilibrium set, and an explicit distinction between formal reflective distance and runtime approximation. The core claim is bounded: Dynamic Observationalism requires a formal layer capable of representing local meaning stability, and RZGM supplies that layer. A meaning-side state is treated as locally admissible when the gradient of its meaning potential is sufficiently small and local instability remains bounded. The paper also distinguishes the formal distance dR from its computable runtime proxy d̂R, preventing the runtime from pretending to measure the full theoretical object directly. RZGM is not a microphysics theory and does not claim that meaning is an independent substance. It is a formal meaning-equilibrium foundation for downstream MOBIUS papers on semantic energy, reflective coordinates, and bounded reflection.