Aspects of Algebraic Quantum Theory: a Tribute to Hans Primas

TL;DR

This paper explores the connection between Hans Primas' algebraic quantum theory and David Bohm's implicate/explicate order, utilizing Clifford algebra techniques for relativistic systems with spin.

Contribution

It introduces a novel link between algebraic quantum theory and Bohm's interpretative framework using advanced Clifford algebra methods.

Findings

Established a mathematical connection between Primas' and Bohm's approaches

Applied Clifford algebra to relativistic quantum systems with spin

Enhanced understanding of algebraic structures in quantum phenomena

Abstract

This paper outlines the common ground between the motivations lying behind Hans Primas' algebraic approach to quantum phenomena and those lying behind David Bohm's approach which led to his notion of implicate/explicate order. This connection has been made possible by the recent application of orthogonal Clifford algebraic techniques to the de Broglie-Bohm approach for relativistic systems with spin.