2022
DOI: 10.36227/techrxiv.19620477
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Parametric separation of variables and the complete propagation law

Abstract: <p>Solving partial differential equations by separation of variables is historically thought to require equating the parts to a constant. Shown, with robust observational support, is that equating to a function of time yields a dimension of novel solutions to the wave equation. They transform known solutions in time, represent Doppler with acceleration, and correct wave idealizations that wrongly constrained fundamental physics, as well as communication and spectrum use.</p> <p><br><… Show more

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