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Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
Institute for Physics of Microstructures RAS, Nizhny Novgorod, Russia
Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
- 1 Institute for Physics of Microstructures RAS, Nizhny Novgorod, Russia
- 2 Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
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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.
KeywordsClifford AlgebraSpace-Time SedenionsRelativistic Quantum MechanicsSedenionic Klein-Gordon EquationSedenionic Dirac EquationSedenionic Maxwell Equiations
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