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The wave function as matter density: ontological assumptions and experimental consequences
Dalarna University, School of Technology and Business Studies, Physics.ORCID iD: 0000-0002-8049-2425
2015 (English)In: Foundations of physics, ISSN 0015-9018, E-ISSN 1572-9516, Vol. 45, no 6, 591-610 p.Article in journal (Refereed) Published
Abstract [en]

The wavefunction is the central mathematical entity of quantum mechanics, but it still lacks a universally accepted interpretation. Much effort is spent on attempts to probe its fundamental nature. Here I investigate the consequences of a matter ontology applied to spherical masses of constant bulk density. The governing equation for the center-of-mass wavefunction is derived and solved numerically. The ground state wavefunctions and resulting matter densities are investigated. A lowering of the density from its bulk value is found for low masses due to increased spatial spreading. A discussion of the possibility to experimentally observe these effects is given and the possible consequences for choosing an ontological interpretation for quantum mechanics are commented upon.

Place, publisher, year, edition, pages
2015. Vol. 45, no 6, 591-610 p.
Keyword [en]
Foundations of quantum theory, Wavefunction, Newtonian gravity, Bound states
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:du-17487DOI: 10.1007/s10701-015-9884-7ISI: 000353842200001OAI: oai:DiVA.org:du-17487DiVA: diva2:813060
Available from: 2015-05-21 Created: 2015-05-21 Last updated: 2015-05-21Bibliographically approved

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Jääskeläinen, Markku
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CiteExportLink to record
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Citation style
  • apa
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