An Ontology of Dirac Fermion of a Monopole Pair (MP) Model of 4D Quantum Space‐Time and Its Multifaceted Dynamics
Abstract
In quantum mechanics (QM), the electron of spin-charge in probabilistic distribution about a nucleus of a hydrogen atom is described by non-relativistic Schrödinger’s wave equation. Its transformation to Dirac fermion of a complex four-component spinor is incorporated into relativistic quantum field theory (QFT). The quantum system in both cases is represented by a wave function but how it collapses to a point at observation omits out both the hidden variables of the spinor and their evolutionary paths into space-time. This presents an ontological dilemma that cannot be satisfactorily explained by conventional theories either driven by experiments or vice versa. In this study, the ontology of Dirac fermion within a proposed MP model of 4D quantum space-time of hydrogen atom type is examined. The electron of a point-particle and its transformation to Dirac fermion appears consistent with Dirac belt trick for the generation of superposition states of spin-charge and their antimatter. Center of mass reference frame relevant to Newtonian gravity is assigned to the spherical point-boundary of the model. This offers an intricate dynamic tool compatible with basic aspects of both QM and QFT. Some of these are explored for non-relativistic wave function and its collapse, quantized Hamiltonian, Dirac spinors, Weyl spinors, Majorana fermions and Lorentz transformation. How the model could further relate to space-time geometry for a body-mass in an elliptical orbit is plotted from an alternative interpretation of general relativity and a multiverse of the MP models at a hierarchy of scales is proposed for further considerations.
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