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Quantum non-objectivity from performativity of quantum phenomena
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
Univ Informat Technol & Management, Rzeszow, Poland.
2014 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. T163, 014020Article in journal (Refereed) Published
Abstract [en]

We analyze the logical foundations of quantum mechanics (QM) by stressing non-objectivity of quantum observables, which is a consequence of the absence of logical atoms in QM. We argue that the matter of quantum non-objectivity is that, on the one hand, the formalism of QM constructed as a mathematical theory is self-consistent, but, on the other hand, quantum phenomena as results of experimenters' performances are not self-consistent. This self-inconsistency is an effect of the language of QM differing greatly from the language of human performances. The former is the language of a mathematical theory that uses some Aristotelian and Russellian assumptions (e.g., the assumption that there are logical atoms). The latter language consists of performative propositions that are self-inconsistent only from the viewpoint of conventional mathematical theory, but they satisfy another logic that is non-Aristotelian. Hence, the representation of quantum reality in linguistic terms may be different: the difference between a mathematical theory and a logic of performative propositions. To solve quantum self-inconsistency, we apply the formalism of non-classical self-referent logics.

Place, publisher, year, edition, pages
2014. Vol. T163, 014020
Keyword [en]
non-objectivity of quantum observables, logical structure of quantum, self-referent logic, photon existence, coeffcient of second order coherence, prequantum classical statistical feld, Physarum polycephalum
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-41402DOI: 10.1088/0031-8949/2014/T163/014020ISI: 000349832400021OAI: oai:DiVA.org:lnu-41402DiVA: diva2:798338
Available from: 2015-03-26 Created: 2015-03-26 Last updated: 2016-05-03Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
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