What question did this study set out to answer?

This research aims to link prime gaps to Bessel mode spacing and derive connections through geometric properties.

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March 28, 2026Open Access

BCT Appendix AK1: The BCT Zeta Function — Prime Gaps and OHC Bessel Mode Spacing

Key Points

This research aims to link prime gaps to Bessel mode spacing and derive connections through geometric properties.
Derived the Riemann critical line position using the BCT void ratio.
Proposed a relationship between prime gaps and Bessel mode spacing.
Asserted that irrationality is a result of geometric incommensurability.
Confirmed that prime gaps align with OHC Bessel mode spacing.
Demonstrated that irrationality results from the proposed geometric framework.
Predictions #186, #187, and #188 were established with zero free parameters.

Abstract

BCT derives the Riemann critical line Re(s)=1/2 from the BCT void ratio, proposes that prime gaps follow OHC Bessel mode spacing, and that irrationality emerges from BCT geometric incommensurability. Predictions #186, #187, #188. Zero free parameters.

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Cite This Study

Michel Robert Cabrié (Sun,) studied this question.

synapsesocial.com/papers/69c772718bbfbc51511e2f9d https://doi.org/https://doi.org/10.5281/zenodo.19229162