Representation of physical quantities: From scalars, vectors, tensors and spinors to multivectors

Abstract

Mathematical representations of physical variables and operators are of primary importance in developing a theory - the relationship among different relevant quantities of any physical process. A thorough account of the representations of different classes of physical variables is drawn up with a brief discussion of various related mathematical systems including quaternion and spinor. The present study is intended to facilitate a comprehensive introduction to the 'geometric algebra', which provides an immensely productive unification of these systems and promises more.