What question did this study set out to answer?

The aim is to derive mathematical equations relevant to sonoluminescence and biophoton phenomena.

March 25, 20260 citationsOpen Access

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

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/69c37b54b34aaaeb1a67daba https://doi.org/https://doi.org/10.5281/zenodo.19177597