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arXiv · 1709.02022

Superposition as a Relativistic Filter

G. N. Ord
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Abstract

By associating a binary signal with the relativistic worldline of a particle, a binary form of the phase of non-relativistic wavefunctions is naturally produced by time dilation. An analog of superposition also appears as a Lorentz filtering process, removing paths that are relativistically inequivalent. In a model that includes a stochastic component, the free-particle Schr\"{o}dinger equation emerges from a completely relativistic context in which its origin {\em and function} is known. The result establishes the fact that the phase of wavefunctions in Schr\"{o}dinger's equation and the attendant superposition principle may both be considered remnants of time dilation. This strongly argues that quantum mechanics has its origins in special relativity.

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G. N. Ord. 2017-09-06. Superposition as a Relativistic Filter. https://doi.org/10.1007/s10773-017-3372-0

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