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

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 O_parent. 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 t_QCD 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.