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 d_R from its computable runtime proxy d̂_R, 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.