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

2006/06/05 by Yaneer Bar-Yam, Bar-Yam, Yaneer · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum Mechanics and Applications #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.gr-qc/0606023

28 pages, 0 figures

arxiv created 2006/06/05 · openalex publication_date 2006/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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