A Structurally Relativistic Quantum Theory. Part 1: Foundations
Emile Grgin
TL;DR
This paper introduces a new number system that enhances the structural foundation of quantum mechanics, enabling the development of a consistent relativistic quantum theory.
Contribution
It proposes a novel number system with the necessary properties to support a relativistic quantum framework, addressing limitations of traditional complex numbers.
Findings
Identification of limitations in complex numbers for relativistic quantum mechanics
Development of a new number system supporting relativistic quantum theory
Foundational groundwork for future relativistic quantum models
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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Taxonomy
TopicsQuantum Mechanics and Applications · Relativity and Gravitational Theory · Biofield Effects and Biophysics