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

Michel Robert Cabrié

doi:10.5281/zenodo.19229162

March 1, 2026Open Access

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

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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.

Implication

BCT explores prime gaps and their connection to Bessel mode spacing, indicating fundamental geometric properties.

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 (2026) studied this question.

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

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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