The Universal Resonance Hypothesis: A Constraint-Level Framework for Finite-Energy Admissibility and Asymptotic Evolution

This paper develops a constraint‑level framework for physically admissible evolution based on two exclusions: configurations requiring divergent interaction energy and terminal states corresponding to complete stillness. Within this framework, subatomic stability is interpreted in terms of stationary resonance—a finite‑volume, self‑maintaining energy distribution that avoids the divergence associated with literal point‑contact. At larger scales, the same constraints imply that decay proceeds asymptotically: structured configurations may weaken and redistribute, but exact stillness is not reached at any finite stage. Within this bounded domain of admissible evolution, long‑term behavior is characterized by continuous redistribution rather than singular collapse or absolute termination. This motivates two descriptive constructs. Bleed‑to‑Flattening refers to the progressive reduction of structural contrast under asymptotic redistribution, while Resonant Reclamation describes the continued dynamical participation of dispersed energy within a diffuse background field. The framework is presented as a conceptual and mathematical scaffold rather than a complete dynamical theory. It does not assume a specific microphysical mechanism or cosmological model. Instead, it identifies structural constraints that any physically admissible description must satisfy when divergent contact and exact terminal stillness are excluded. The result is a bounded, criterion‑level foundation for future work on resonant structure, decay dynamics, and large‑scale asymptotic evolution.