The Coherent Oscillatory Regime: A Signal-Theoretic Model of Experience Under Finite Rendering Constraints

This record contains the complete analytical, numerical, and supporting materials for The Coherent Oscillatory Regime (COR) framework, a signal-theoretic model describing how coherent experience arises under finite rendering constraints. The work treats experience not as a primitive property, but as the usable information preserved after unavoidable limits on rendering, including finite internal update rates, aliasing, and finite state resolution. By modeling these constraints explicitly, the analysis demonstrates that both excessive openness (vanishing constraint) and excessive rigidity (over-constraint) necessarily collapse distinguishable structure, implying the existence of an intermediate regime in which coherent, temporally ordered experience is maximized. Analytical derivations are complemented by numerical simulations that map how the optimal constraint (“friction”) parameter depends on internal render rate, environmental spectral structure, and precision limits. The results show that the Coherent Oscillatory Regime is not a contingent biological feature, but a mathematically necessary consequence of finite sampling and finite precision in any system attempting to sustain coherent internal dynamics. All code, figures, data tables, and reproducibility notes are included to support verification and extension. The framework is presented without phenomenological or metaphysical assumptions and is intended for readers in complex systems, information theory, computational neuroscience, and theoretical biology.