High Energy Particle Physics

    

Generalized Clifford Algebras and the N-th Root of Linear Differential Equations of Higher Order

Authors: Carlos Castro

It is shown how generalized Clifford algebras allows to construct the $N$-th root of $N$-order linear differential equations involving massless and massive particles. Such generalized Dirac-like equations differ from the ones in the literature. Explicit solutions are found. We conclude with some remarks on pseudo-unitary algebras, modular arithmetic, modified Dirac equations, Octonions, and the Okubo algebra.

Comments: 10 Pages.

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[v1] 2025-04-20 05:10:25

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