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Open Quantum Systems Decoherence

Superposition as a Relativistic Filter

arXiv

Authors: G. N. Ord

Year

2017

Paper ID

7635

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

N/A

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 Schrödinger 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 Schrödinger'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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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1709.02022 [2] arXiv https://arxiv.org/abs/1709.02022 [3] Publisher https://arxiv.org/abs/1709.02022

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