The Lucybox: Tri-Modal Resonance in Piezoelectric Media and its Scaling to Macroscopic Energy Gain

This paper applies the cymalogical framework (DOI:10.5281/zenodo.21828306) to a laboratory setting, deriving a coupling mechanism in piezoelectric media and the conditions under which it would become macroscopically significant. In that framework, phonons, plasmons and photons are not three quasi-particle species but three channels into which a single harmonic pulse (khron) projects; their mutual coupling is therefore native to the medium rather than introduced by an interaction Hamiltonian. This paper is the applied companion to the thermodynamic foundation of the same corpus (DOI:10.5281/zenodo.16891773), on which its resonance condition and amplitude law depend. ------- Keywords: Cymalogy • Tri-Modal Resonance • Phonon-Plasmon-Photon Coupling • Piezoelectricity • PZT-5H • Acoustic Resonance • Logarithmic Spiral • Acoustic Concentration • Energy Conversion • Calorimetry • Anomalous Gain • Pines Demon • Periodically Poled Ferroelectrics • Causal Geometry • Open-Source Technology • Open Science •