Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
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Affiliation(s)
1Institute for Physics of Microstructures RAS, Nizhny Novgorod, Russia.
2Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.
2Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.
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
Cite this paper
References
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V. and Mironov, S. (2015) Associative Space-Time Sedenions and Their
Application in Relativistic Quantum Mechanics and Field Theory. Applied Mathematics, 6, 46-56. doi: 10.4236/am.2015.61006.
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