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Annals of Physics

Quantum mechanics in a two-dimensional spacetime: What is a wavefunction?

Garnet N. Ord

Published Mar 26, 2009• 15 citations
Publisher
DOI
10.1016/j.aop.2009.03.007

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We approach the Nature and Ontology of Spacetime by considering the properties of the wavefunction. On the basis of observed retrocausal effects and consequent time-symmetric approaches to QM we conclude that the wavefunction is extended in time as well as in space, and hence is minimally a 4-dimensional entity occupying a 4-space resembling the Block Universe. On this basis we erect a higher-dimensional spacetime framework accounting for nonlocality and retrocausality while providing insight into the origins of time, space, mass and inertia. We elucidate relativistic mass and derive the mass transformation equation according to Special Relativity from quantum mechanical and relativistic principles. The framework is shown to provide a spatial context for Kaluza’s 5D Einstein-Maxwell theory and the internal symmetries of the Standard Model.

•Jun 1, 2019•0 citations
We approach the Nature and Ontology of Spacetime by considering the properties of the wavefunction. On the basis of observed retrocausal effects and consequent time-symmetric approaches to QM we conclude that the wavefunction is extended in time as well as in space, and hence is minimally a 4-dimensional entity occupying a 4-space resembling the Block Universe. On this basis we erect a higher-dimensional spacetime framework accounting for nonlocality and retrocausality while providing insight into the origins of time, space, mass and inertia. We elucidate relativistic mass and derive the mass transformation equation according to Special Relativity from quantum mechanical and relativistic principles. The framework is shown to provide a spatial context for Kaluza’s 5D Einstein-Maxwell theory and the internal symmetries of the Standard Model.