Dirac Equation in Four Time and Four Space Dimensions

TL;DR

This paper explores the Dirac equation in a (4+4)-dimensional spacetime, demonstrating the existence of Majorana and Weyl solutions using Clifford algebra, with potential applications in supergravity, superstrings, and qubit theory.

Contribution

It introduces a method to derive Majorana and Weyl solutions for the Dirac equation in (4+4)-dimensions using Clifford algebra, expanding theoretical frameworks.

Findings

Existence of Majorana and Weyl solutions in (4+4)-dimensions

Method based on Clifford algebra for constructing spinors

Potential applications in supergravity, superstrings, and qubit theory

Abstract

The Dirac equation in four time and four space dimensions (or (4+4)-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 2x2-matrices. We argue that our approach can be useful in supergravity, superstrings and qubit theory.