Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory

Victor L. Mironov^1,2, Sergey V. Mironov¹

¹Institute for Physics of Microstructures RAS, Nizhny Novgorod, Russia.
²Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.

DOI: 10.4236/am.2015.61006                

Abstract

We present an alternative sixteen-component hypercomplex scalar-vector values named “space-time sedenions”, generating associative noncommutative space-time Clifford algebra. The generalization of relativistic quantum mechanics and field theory equations based on sedenionic wave function and space-time operators is discussed.

Keywords

Clifford Algebra, Space-Time Sedenions, Relativistic Quantum Mechanics, Sedenionic Klein-Gordon Equation, Sedenionic Dirac Equation, Sedenionic Maxwell Equiations

Conflicts of Interest

The authors declare no conflicts of interest.

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