What question did this study set out to answer?

This research aims to derive the mechanism of pair production through sump phase transitions in a brane-bulk context.

May 22, 2026Open Access

Paper XL of the Brane-Bulk Series Pair Production as Focal Zone Nucleation B. D. Jagadeesan, MD

Key Points

This research aims to derive the mechanism of pair production through sump phase transitions in a brane-bulk context.
Derived pair production from two radial wave modes (photons) interacting at a specific energy threshold.
Identified stability conditions related to brane interference patterns and focal zone dynamics.
Explored the relationship between annihilation and energy release as due to overlapping focal zones.
Pair production occurs when photon energy exceeds the threshold of 2mec2, leading to stable focal zones.
Identified that the electron mass corresponds to the minimum stable amplitude at the sump-stability threshold.
Annihilation is shown to release energy as two photons of 511 keV.

Abstract

Pair production (γ + γ →e+ + e−) is derived as a sump phase transition: two radial wave modes (photons) create a brane interference pattern whose amplitude, when it meets the focal zone nucleation threshold, locks irreversibly into a stable focal deceleration zone (electron, εH 0). The threshold hν1+hν2 ≥2mec2 is derived from the sump stability condition, not postulated. The electron mass me is the minimum sump-stable focal deceleration amplitudethe lightest charged particle sits exactly at the T1 sump stability threshold. Annihilation is the time-reverse: focal zone overlap and cancellation releasing stored brane deformation energy as two 511 keV photons. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.

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