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March 25, 20260 citationsOpen Access

BCT Appendix AG1: Vacuum Luminescence — Complete Derivations for Sonoluminescence and Biophoton Bessel Relaxation

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MCMichel Robert Cabrié

Key Points

  • The aim is to derive mathematical equations relevant to sonoluminescence and biophoton phenomena.
  • Developed OHC Bessel coupling condition for acoustic bubble collapse
  • Calculated spectral peak for sonoluminescence using geometric constants
  • Derived mitochondrial cristae resonator geometry ratio
  • Predicted biophoton Bessel ratio and secondary band
  • Spectral peak for sonoluminescence ranged from 300-400nm with less than 1% error
  • Mitochondrial cristae geometry ratio of 0.5426 with 3.2% error
  • Predicted biophoton Bessel ratio of 1.594 and secondary band at 345nm with less than 1.5% error

Abstract

Complete mathematical derivations supporting BCT Letter 110. Derives: OHC Bessel coupling condition for acoustic bubble collapse; sonoluminescence spectral peak from BCT geometric constants (300-400nm, <1% error); mitochondrial cristae resonator geometry (ratio 0.5426, 3.2% error); biophoton Bessel ratio prediction (1.594, secondary band 345nm, <1.5% error); unified vacuum luminescence table. All results from three BCT inputs with zero free parameters.

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Cite This Study

Michel Robert Cabrié (2026) studied this question.

synapsesocial.com/papers/69c37b54b34aaaeb1a67dabahttps://doi.org/10.5281/zenodo.19177597
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