Dirac equation in four time and four space dimensions

Abstract

The Dirac equation in four time and four space dimensions (or ([Formula: see text])-dimensions) is considered. Step by step, we show that such an equation admits Majorana and Weyl solutions. In order to obtain the Majorana or Weyl spinors, we used a method based on the construction of Clifford algebra in terms of [Formula: see text]-matrices. We argue that our approach can be useful in supergravity, superstrings and qubit theory.