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

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Abstract

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…

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Topics & keywords

Keywords
  • Toroid
  • Angular momentum
  • Modal
  • Resonance (particle physics)
  • Mode (computer interface)
  • Degeneracy (biology)
  • Boundary (topology)
  • Modal analysis
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