Coherence Regulation Band Theory: An Architectural Framework for Coherence-Regulated Reality

This paper introduces Coherence Regulation Band Theory (CRBT), the second paper of The Architecture of Reality pentalogy: Coherence–Slip–Information–Matter–Life. Where Paper I, Cognitive Wave–Time Theory (CWTT), established a time-free architectural foundation for coherence-regulated dynamics, Paper II develops the regulatory layer of the framework. It examines how stability can be maintained through bounded coherence regulation rather than through prediction, representation, or convergence to static equilibrium. CRBT defines stability as persistent operation within a non-zero coherence deviation band, referred to as the slip band. Within this framework, adaptive systems remain viable not by eliminating deviation, but by preserving coherence within bounded regulatory conditions. The theory clarifies the role of prediction by treating it as accessibility-limited and scale-dependent. Predictive models are not rejected; rather, prediction is reinterpreted as a local capability that remains viable only where the informational conditions required for extrapolation are structurally accessible. The paper develops:- a mathematical core for coherence regulation- bounded participation operators based on Π-regulation- the slip band as a structural condition of adaptive stability- regulation without representation- information as accessibility-conditioned deviation- prediction as accessibility-limited- co-evolutionary coherence regulation- diagrammatic and numerical illustrations of bounded regulation As Paper II of The Architecture of Reality, CRBT extends the coherence-based foundations of CWTT toward a regulatory account of stability. It prepares the formal and architectural basis for later treatments of information, matter, biological organization, and agency. Related work:Paper I — Cognitive Wave–Time Theory (CWTT), The Architecture of Reality, Paper I.