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ZM theory IV: Introduction to quantum concepts, Klein-Gordon and Dirac's equations

Yaneer Bar-Yam
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Abstract

We describe a general approach to the correspondence of ZM theory with quantum electrodynamics. As a first step, we show the correspondence of helical clock-field states with plane wave states of the Dirac equation. Specifically, defining the direction of time as the gradient of the field in the combined field and space dimensions, for constant gradients, results in states that are consistent with conventional plane wave Dirac equation eigenfunctions. Particles and antiparticles, as well as up and down spins are related by axis inversions. The Dirac wavefunction represents the clock-field and the observer defined direction of time and spatial coordinate axes rotation relative to the region of observation. Additional steps showing the correspondence of ZM theory to quantum mechanics and the Dirac equation are deferred to subsequent papers.

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Yaneer Bar-Yam. 2006-06-05. ZM theory IV: Introduction to quantum concepts, Klein-Gordon and Dirac's equations. https://arxiv.org/abs/gr-qc/0606023

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