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Entropy 2018, 20(6), 474; https://doi.org/10.3390/e20060474

On Ontological Alternatives to Bohmian Mechanics

1
Institute for Physics, University of Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany
2
Parmenides Foundation for the Study of Thinking, D-82049 Munich-Pullach, Germany
Received: 20 April 2018 / Revised: 6 June 2018 / Accepted: 13 June 2018 / Published: 19 June 2018
(This article belongs to the Special Issue Emergent Quantum Mechanics – David Bohm Centennial Perspectives)
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Abstract

The article describes an interpretation of the mathematical formalism of standard quantum mechanics in terms of relations. In particular, the wave function ψ(x) is interpreted as a complex-valued relation between an entity (often called “particle”) and a second entity x (often called “spatial point”). Such complex-valued relations can also be formulated for classical physical systems. Entanglement is interpreted as a relation between two entities (particles or properties of particles). Such relations define the concept of “being next to each other”, which implies that entangled entities are close to each other, even though they might appear to be far away with respect to a classical background space. However, when space is also considered to be a network of relations (of which the classical background space is a large-scale continuum limit), such nearest neighbor configurations are possible. The measurement problem is discussed from the perspective of this interpretation. It should be emphasized that this interpretation is not meant to be a serious attempt to describe the ontology of our world, but its purpose is to make it obvious that, besides Bohmian mechanics, presumably many other ontological interpretations of quantum theory exist. View Full-Text
Keywords: relational space; relational interpretation of quantum mechanics; measurement problem; non-locality relational space; relational interpretation of quantum mechanics; measurement problem; non-locality
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Filk, T. On Ontological Alternatives to Bohmian Mechanics. Entropy 2018, 20, 474.

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