Classification of Multivector Theories and the Modification of the Postulates of Physics

Abstract

We propose a graded classification of the entire field of multivector physics, including all alternative points of view. The (often tacit) postulates of different types of formulations are contrasted, summarizing their consequences. Specifically, spin-gauge formulations of gravitation and GUT which assume standard column spinors will require unnecessarily large matrix algebras. An extreme generalization is introduced, where wavefunctions are multivectors, in which multiple generations of particles naturally appear without resorting to increasing the size of the algebra. Further, this allows for two-sided (bilateral) operators, which can accomodate in excess of 10 times more gauge fields without increasing the algebraic representation. As this generalization encompasses all the essential features of the other categories, it is proposed to be the best path to new physics. [Summary of talk at 3rd International Conf on Clifford Algebras and Their Appl. in Physics, Deinze, Belgium May 1993].