TITLE:
Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
AUTHORS:
Victor L. Mironov, Sergey V. Mironov
KEYWORDS:
Clifford Algebra, Space-Time Sedenions, Relativistic Quantum Mechanics, Sedenionic Klein-Gordon Equation, Sedenionic Dirac Equation, Sedenionic Maxwell Equiations
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.1,
January
8,
2015
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.