Structural Selection in Cavity and Resonator Systems: Boundary-Defined Admissible Modes

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Authors: Lisa Doumbouya
Cited by: 0

Abstract

Resonant behavior in cavities and bounded media is a central concept across classical and quantum physics, commonly described in terms of driven oscillation, constructive interference, and energy reinforcement. In this work, we present a complementary, structure-first interpretation in which resonant modes arise from boundary-defined constraints that select admissible standing-wave configurations prior to sustained dynamical excitation. We show that cavity modes are determined by geometric and material boundary conditions, independent of the specific driving mechanism, while dissipation acts to suppress non-recoverable configurations rather than generate resonance. Discreteness and robustness of resonant spectra are thus understood as consequences of structural admissibility rather than energetic amplification. This perspective preserves standard resonator theory while clarifying the conceptual distinction between mode existence and mode excitation, providing a unified interpretive framework applicable across classical and quantum resonant systems.

Fields of Study & Subjects

Acoustic Wave Phenomena Research Spectral Theory in Mathematical Physics Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 February 2026