Experimental Comparison of Bohm-like Theories with Different Primary Ontologies

The de Broglie-Bohm theory is a hidden-variable interpretation of quantum mechanics which involves particles moving through space along deterministic trajectories. This theory singles out position as the primary ontological variable. Mathematically, it is possible to construct a similar theory where...

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Main Authors: Arthur O. T. Pang, Hugo Ferretti, Noah Lupu-Gladstein, Weng-Kian Tham, Aharon Brodutch, Kent Bonsma-Fisher, J. E. Sipe, Aephraim M. Steinberg
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-11-26-365/pdf/
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author Arthur O. T. Pang
Hugo Ferretti
Noah Lupu-Gladstein
Weng-Kian Tham
Aharon Brodutch
Kent Bonsma-Fisher
J. E. Sipe
Aephraim M. Steinberg
author_facet Arthur O. T. Pang
Hugo Ferretti
Noah Lupu-Gladstein
Weng-Kian Tham
Aharon Brodutch
Kent Bonsma-Fisher
J. E. Sipe
Aephraim M. Steinberg
author_sort Arthur O. T. Pang
collection DOAJ
description The de Broglie-Bohm theory is a hidden-variable interpretation of quantum mechanics which involves particles moving through space along deterministic trajectories. This theory singles out position as the primary ontological variable. Mathematically, it is possible to construct a similar theory where particles are moving through momentum-space, and momentum is singled out as the primary ontological variable. In this paper, we construct the putative particle trajectories for a two-slit experiment in both the position and momentum-space theories by simulating particle dynamics with coherent light. Using a method for constructing trajectories in the primary and non-primary spaces, we compare the phase-space dynamics offered by the two theories and show that they do not agree. This contradictory behaviour underscores the difficulty of selecting one picture of reality from the infinite number of possibilities offered by Bohm-like theories.
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spelling doaj.art-aff061bb283b4fc1bd520cd8b4a012f12022-12-21T18:42:18ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-11-01436510.22331/q-2020-11-26-36510.22331/q-2020-11-26-365Experimental Comparison of Bohm-like Theories with Different Primary OntologiesArthur O. T. PangHugo FerrettiNoah Lupu-GladsteinWeng-Kian ThamAharon BrodutchKent Bonsma-FisherJ. E. SipeAephraim M. SteinbergThe de Broglie-Bohm theory is a hidden-variable interpretation of quantum mechanics which involves particles moving through space along deterministic trajectories. This theory singles out position as the primary ontological variable. Mathematically, it is possible to construct a similar theory where particles are moving through momentum-space, and momentum is singled out as the primary ontological variable. In this paper, we construct the putative particle trajectories for a two-slit experiment in both the position and momentum-space theories by simulating particle dynamics with coherent light. Using a method for constructing trajectories in the primary and non-primary spaces, we compare the phase-space dynamics offered by the two theories and show that they do not agree. This contradictory behaviour underscores the difficulty of selecting one picture of reality from the infinite number of possibilities offered by Bohm-like theories.https://quantum-journal.org/papers/q-2020-11-26-365/pdf/
spellingShingle Arthur O. T. Pang
Hugo Ferretti
Noah Lupu-Gladstein
Weng-Kian Tham
Aharon Brodutch
Kent Bonsma-Fisher
J. E. Sipe
Aephraim M. Steinberg
Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
Quantum
title Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
title_full Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
title_fullStr Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
title_full_unstemmed Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
title_short Experimental Comparison of Bohm-like Theories with Different Primary Ontologies
title_sort experimental comparison of bohm like theories with different primary ontologies
url https://quantum-journal.org/papers/q-2020-11-26-365/pdf/
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