2012•arXiv (Cornell University)Open access

A Structurally Relativistic Quantum Theory. Part 1: Foundations

Emile Grgin

Abstract

The apparent impossibility of extending non-relativistic quantum mechanics to a relativistic quantum theory is shown to be due to the insufficient structural richness of the field of complex numbers over which quantum mechanics is built. A new number system with the properties needed to support an inherently relativistic quantum theory is brought to light and investigated to a point sufficient for applications.

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Key concepts: Impossibility, Physics, Quantum field theory, Relativistic quantum mechanics, Quantum dissipation, Theoretical physics, Quantum, Quantum mechanics