Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52976#.VK8sqMnQrzE Author(s) Victor L. Mironov 1,2 , Sergey V. Mironov 1 Affiliation(s) 1 Institute for Physics of Microstructures RAS, Nizhny Novgorod, Russia . 2 Lobachevsky 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 Mironov, V. and Mironov, S. (2015) Associative Space-Tim...