Paper XIV of the Brane-Bulk Series The Octonionic Dirac Equation B. D. Jagadeesan, MD

The Dirac equation is derived from the octonionic brane-bulk structure as the equation of motion for a focal deceleration zone propagating through the expanding brane. The four Dirac gamma matrices γ0, γ1, γ2, γ3 are identied with the four ele- ments of H+ = 1, e1, e2, e3: γ0 corresponds to the real unit (temporal evolution), γ1, γ2, γ3 to the three imaginary units e1, e2, e3 (spatial momentum). The Dirac algebra γm, γn = 2ηmn follows from the quaternionic multiplication relations in H+. Antimatter (positrons) corresponds to the H−representation, as derived in Paper VII. CPT symme- try is the simultaneous interchange H+ ↔H−, time-reversal (the real unit of H+), and spatial parity (the three imaginary units of H+). The octonionic Dirac equation unies all Standard Model fermions as dierent modes of the same octonionic wave equation. 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.