Some Arguments for the Wave Equation in Quantum Theory 3

• URL: http://arxiv.org/abs/2210.15054v1
• Date: Wed, 26 Oct 2022 21:37:48 GMT
• Title: Some Arguments for the Wave Equation in Quantum Theory 3
• Authors: Tristram de Piro
• Abstract summary: We prove there exists a charge solution to the 1-dimensional wave equation, and a corresponding current, such that the pair satisfy the continuity equation. We show that when they are extended to a smooth solution of the continuity equation on a vanishing annulus containing the unit circle, with a corresponding causal solution to Maxwell's equations, the power radiated at infinity in a time cycle is zero.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We prove there exists a charge solution to the 1-dimensional wave equation, and a corresponding current, such that the pair satisfy the continuity equation. We show that when they are extended to a smooth solution of the continuity equation on a vanishing annulus containing the unit circle, with a corresponding causal solution to Maxwell's equations, obtained from Jefimenko's equations, the power radiated at infinity in a time cycle is zero.

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