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Investigate the algebraic origin of matter-antimatter asymmetry and its relation to colour charge in octonionic structures.

May 22, 2026Open Access

Paper XIII of the Brane-Bulk Series Octonionic Spinors and the Origin of Colour Charge B. D. Jagadeesan, MD

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Investigate the algebraic origin of matter-antimatter asymmetry and its relation to colour charge in octonionic structures.
Analyzes quaternionic subalgebras H+ and H− of the parent octonion O_parent.
Examines the associator identity and its implications for QCD colour confinement.
Explores the relation between QCD transition and cosmological scales.
Identifies colour charge as arising from the H− sector of octonions and its strong coupling normalization.
Establishes that the factor -2 in the associator identity determines the strong coupling constant at QCD scale.
Demonstrates that confinement at t_QCD removes anti-sump on cosmological scales.

Abstract

The two parent black holes of Paper I are the two natural quaternionic subalgebras H+ = 1, e1, e2, e3 and H−= e4, e5, e6, e7 of the parent octonion Oₚarent. Their opposite Fano orientations are the algebraic origin of the matter-antimatter asym- metry. The H−sector corresponds to colour charge, conned by the associator identity e4, e5, e6 = -2e7: the three colour dimensions e4, e5, e6 can only close algebraically by including e7 (the strong coupling normalisation). This is QCD colour connement as a topological closure condition, not a dynamical mechanism. The connement at tQCD removes the H−anti-sump from cosmological scales, implementing the QCD transition in the master equation for a0, net (t). The factor -2 in the associator identity sets the strong coupling constant at the QCD scale. 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.

Paper XIII of the Brane-Bulk Series Octonionic Spinors and the Origin of Colour Charge B. D. Jagadeesan, MD

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