Preprint Article Version 1 This version is not peer-reviewed

One Universe, Many Spaces: A Non-Local, Relativistic Quantum Spacetime

Version 1 : Received: 29 April 2018 / Approved: 1 May 2018 / Online: 1 May 2018 (08:40:03 CEST)

How to cite: Sharp, J.C. One Universe, Many Spaces: A Non-Local, Relativistic Quantum Spacetime. Preprints 2018, 2018050003 (doi: 10.20944/preprints201805.0003.v1). Sharp, J.C. One Universe, Many Spaces: A Non-Local, Relativistic Quantum Spacetime. Preprints 2018, 2018050003 (doi: 10.20944/preprints201805.0003.v1).

Abstract

The nonlocality of entangled quantum mechanical systems is incompatible with the standard interpretation of special relativity as a single 4D Minkowskian metric spacetime. The difficulty is that the definition of a spacetime interval between any pair of events precludes any form of nonlocal interaction, even the relatively benign non-signaling correlations. By an application of the relativity principle, and the use of the space ←→ time symmetry of the Lorentz boost I propose here a reinterpretation of special relativistic spacetime. This new ontology consists of a set of coexisting 3+1D spaces (‘framespaces’), each containing unique content in the form of a complex density. These spaces are related by the Lorentz boost, and coupled pairwise in a manner dictated by the Lorentz transformation. The inter-space coupling acting on the spacetime content gives rise to a nonlocal wave phenomenon, which is identified as quantum wave mechanics. The interspace coupling strength is then inversely proportional to Planck’s constant. The coexistence of multiple spaces is interpreted as momentum superposition, implying that momentum is the fundamental physical basis of quantum superposition. This new spacetime interpretation of quantum mechanics has many consequences, including explanations of quantum non-locality, the spacetime role of Planck’s constant, quantum measurement as a symmetry-breaking process and the redundancy of description of gauge theory.

Subject Areas

special relativity; quantum mechanics; non-locality; Planck’s constant; EPR

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