Relativity and Cosmology


Quantum Theory of Individual Electron and Photon Interactions: Electromagnetic Time Dilation, the Hyper-Canonical Dirac Equation, and Magnetic Moment Anomalies Without Renormalization

Authors: Jay R. Yablon

Dirac’s seminal 1928 paper “The Quantum Theory of the Electron” is the foundation of how we presently understand the behavior of fermions in electromagnetic fields, including their magnetic moments. In sum, it is, as titled, a quantum theory of individual electrons, but in classical electromagnetic fields comprising innumerable photons. Based on the electrodynamic time dilations which the author has previously presented and which arise by geometrizing the Lorentz Force motion, there arises an even-richer “hyper-canonical” variant of the Dirac equation which reduces to the ordinary Dirac equation in the linear limits. This advanced Dirac theory naturally enables the magnetic moment anomaly to be entirely explained without resort to renormalization and other ad hoc add-ons, and it also permits a detailed, granular understanding of how individual fermions interact with individual photons strictly on the quantum level. In sum, it advances Dirac theory to a quantum theory of the electron and the photon and their one-on-one interactions. Seven distinct experimental tests are proposed.

Comments: 105 Pages. v3 containn new sections 20, 21 and 22 and new appendix C, containing the complete Hamiltonian calculation.

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Submission history

[v1] 2017-10-15 01:31:22
[v2] 2018-02-12 10:35:19
[v3] 2018-02-28 11:29:04

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