Possibility and Time in Quantum Mechanics

In the discourse of quantum mechanics it is usual to say that non-commuting observables <i>cannot</i> have definite values at the same time, or that they <i>cannot</i> be simultaneously measured. But, what does the term ‘cannot’ mean in this context? Does it stand for impossi...

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Main Authors: Olimpia Lombardi, Sebastian Fortin, Matías Pasqualini
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/2/249
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author Olimpia Lombardi
Sebastian Fortin
Matías Pasqualini
author_facet Olimpia Lombardi
Sebastian Fortin
Matías Pasqualini
author_sort Olimpia Lombardi
collection DOAJ
description In the discourse of quantum mechanics it is usual to say that non-commuting observables <i>cannot</i> have definite values at the same time, or that they <i>cannot</i> be simultaneously measured. But, what does the term ‘cannot’ mean in this context? Does it stand for impossible? Should Heisenberg’s principle be read in terms of uncertainty or of indeterminacy? On the other hand, whereas the debates about the nature of time in classical and relativistic mechanics have been many and varied, the question about the nature of time in quantum mechanics has not received the same attention, especially when compared to the large amount of literature on interpretive issues. The purpose of this paper is to show that, under a realist interpretation of quantum mechanics, these two matters, possibility and time, are strongly related. The final aim is to argue that, when possibility and actuality are conceived as irreducible modes of being, they are correlated to two different notions of time that can be distinguished in the quantum realm: parameter-time and event-time.
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spelling doaj.art-3399b813818541438e9a7b5cb8b475e52023-11-23T19:48:21ZengMDPI AGEntropy1099-43002022-02-0124224910.3390/e24020249Possibility and Time in Quantum MechanicsOlimpia Lombardi0Sebastian Fortin1Matías Pasqualini2CONICET, Instituto de Filosofía, Universidad de Buenos Aires, Buenos Aires 1420, ArgentinaCONICET, Instituto de Filosofía, Universidad de Buenos Aires, Buenos Aires 1420, ArgentinaCONICET, Instituto de Investigaciones “Dr. Adolfo Prieto”, Universidad Nacional de Rosario, Rosario 2000, ArgentinaIn the discourse of quantum mechanics it is usual to say that non-commuting observables <i>cannot</i> have definite values at the same time, or that they <i>cannot</i> be simultaneously measured. But, what does the term ‘cannot’ mean in this context? Does it stand for impossible? Should Heisenberg’s principle be read in terms of uncertainty or of indeterminacy? On the other hand, whereas the debates about the nature of time in classical and relativistic mechanics have been many and varied, the question about the nature of time in quantum mechanics has not received the same attention, especially when compared to the large amount of literature on interpretive issues. The purpose of this paper is to show that, under a realist interpretation of quantum mechanics, these two matters, possibility and time, are strongly related. The final aim is to argue that, when possibility and actuality are conceived as irreducible modes of being, they are correlated to two different notions of time that can be distinguished in the quantum realm: parameter-time and event-time.https://www.mdpi.com/1099-4300/24/2/249possibilityactualityparameter-timeevent-time
spellingShingle Olimpia Lombardi
Sebastian Fortin
Matías Pasqualini
Possibility and Time in Quantum Mechanics
Entropy
possibility
actuality
parameter-time
event-time
title Possibility and Time in Quantum Mechanics
title_full Possibility and Time in Quantum Mechanics
title_fullStr Possibility and Time in Quantum Mechanics
title_full_unstemmed Possibility and Time in Quantum Mechanics
title_short Possibility and Time in Quantum Mechanics
title_sort possibility and time in quantum mechanics
topic possibility
actuality
parameter-time
event-time
url https://www.mdpi.com/1099-4300/24/2/249
work_keys_str_mv AT olimpialombardi possibilityandtimeinquantummechanics
AT sebastianfortin possibilityandtimeinquantummechanics
AT matiaspasqualini possibilityandtimeinquantummechanics