This preprint introduces The RMAχτ Balance Law, a first-order framework for modeling the evolution of organized structure under the competition of suppression, regeneration, and entropy-mediated loss. The central balance is written as dxdρc=−Mρc+S,S=R−Aχτ, where ρc is a modeled coherence state variable, M is a drain or suppression coefficient, R is gross regeneration, and Aχτ represents unrecovered dissipated structure. The paper presents three complementary readings of the same balance: a spatial face, describing coherence gradients and structural boundaries; a temporal face, describing persistence thresholds and collapse conditions; and a structural face, describing the separation between persistence and reversibility through a barrier variable b_iv. The shared term Aχτ acts as the coupling spine linking these readings: it lowers the net source in the balance law, reduces correction margin in temporal persistence, and accumulates as a driver of structural hardening. The work emphasizes mathematical modesty and explicit claim separation. The core results follow from a first-order linear ordinary differential equation, standard stability analysis, and one phenomenological structural-separability condition. The paper distinguishes first-principle results, structural claims, modeling choices, empirical illustrations, and claims deliberately removed from this version. This version replaces stronger cross-scale closure and parameter-free prediction language with a more restrained formulation: the RMAχτ Balance Law is presented as an operational template for suppression-regeneration systems rather than as a completed universal theory. Its purpose is to clarify the mathematical structure, define the spatial, temporal, and structural interpretations, and identify the conditions under which persistence, collapse, and irreversibility can be analyzed within a single coherence-gradient framework.