ABSTRACT

Before developing the geometric algebra of space-time or space-time algebra (STA) it would be in order for us to discuss the algebra of Dirac matrices γµ (µ = 0, 1, 2, 3), endowing the geometric significance of the matrices γµ. This is so because, in Section 9.1 of Chapter 9 of this book, the Dirac equation is reformulated in STA without any reference to the complex number where the four Dirac γµ are considered to be linearly independent vectors belonging to an associative noncommutative division algebra.