Rewrite Science - The Universal Semantic Calculus and Grammatical Cosmos
Symposium 10A - CASYS 07

Relativistic Quantum Mechanics from a Single Operator
Peter Rowlands
Department of Physics. University of Liverpool. Oliver Lodge Laboratory. Oxford St. Liverpool. L69 7ZE, UK. p.rowlands@liverpool.ac.uk

Keywords: relativistic quantum mechanics, creation operator, quantum field theory particle physics. universal rewrite system

Abstract

Relativistic quantum mechanics can now be constructed minimally from a single creation operator with explicit energy, momentum and mass terms. The phase factor, amplitude; spinor structure and vacuum slates are all automatic consequences of the initial definition. As separately defined entities they are completely redundant. The operator can even be reduced two terms (energy and momentum) if differentiation is defined in a discrete sense. This version of quantum mechanics, is also a full quantum field theory, with an automatic incorporation of vacuum and second quantization.

Renormalization is, in principle, eliminated by the intrinsic (vacuum) supersymmetry of the fermion and boson structures. Not only is this quantum mechanics minimally constructed, it is also much more powerful than any other version, and it can be derived in a fundamental way from the universal rewrite system previously presented. The fundamental interactions of particle physics are consequences of the mathematical structure alone, and do not require any additional 'physical' assumptions. Significant new. results will be presented on the physics and computational aspects.