What question did this study set out to answer?

This research aims to explore the mathematical origins of colour charge through octonionic spinors.

June 8, 2026Open Access

Paper XIII: Octonionic Spinors and the Origin of Colour Charge

Key Points

This research aims to explore the mathematical origins of colour charge through octonionic spinors.
Analyzed quaternionic subalgebras H+ and H- of octonions.
Investigated the algebraic structures related to colour charge.
Examined confinement mechanisms within QCD framework.
Established a mathematical link between the octonionic framework and colour charge (H- sector).
Identified the associator identity involving colour dimensions e4, e5, and e6 as foundational for confinement.
Set the strong coupling constant in QCD based on the factor of -2 in the associator identity.

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: Octonionic Spinors and the Origin of Colour Charge

Key Points

Abstract

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