Boundary-Governed Resonant Systems: Toroidal Recirculation, Modal Etiquette, and Lifecycle-Based Self-Calibration

Description This preprint introduces a boundary-first, wave-agnostic framework for regulating resonance without active sensing or stored memory. Finite yet variable surface geometry constrains admissible mode space, while explicit Boundary Conduct Codes and a Modal Manners Protocol govern selective dampening and recoupling. A lifecycle-based phase scheduler—analogous to the polyp–strobilation–ephyra–medusa sequence—controls transitions between absorption, mode selection, controlled oscillation, and expressive projection. Central to the framework is a toroidal recirculation zone enforcing circulation, phase closure, and angular momentum conservation, providing temporal gating, degeneracy resolution, and internal recalibration. After each complete circulation, surviving coherent modes establish a new baseline operating state. The result is a passive, self-governing resonant organism capable of functioning as an instrument, diagnostic surface, or projection system across optical, acoustic, hydrodynamic, and structural domains. Keywords boundary-first design; resonance control; toroidal recirculation; angular momentum conservation; modal selection; passive regulation; lifecycle scheduling; self-calibration; structural diagnostics; wave-agnostic systems