Contextuality of the probability current in quantum mechanics.

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Title: Contextuality of the probability current in quantum mechanics.
Authors: Laloë, F.1 (AUTHOR) laloe@lkb.ens.fr
Source: European Physical Journal D (EPJ D). May2026, Vol. 80 Issue 5, p1-7. 7p.
Subjects: Quantum mechanics, Frames of reference (Relativity), Quantum fluids, Relativity
Abstract: We revisit an argument proposed by Hardy (Phys. Rev. Lett. 68:2981–2984, 1992) concerning local realistic theories, but in terms of the motion of the probability fluid and its current within standard quantum mechanics. For a two-particle system, we discuss surprising properties of the flux lines of this current in configuration space, in particular (quasi) discontinuous variations when the context (the experimental setup) is changed. This occurs in both Galilean and Einsteinian relativity. In the latter case, discontinuous variations also appear without changing the setup, when the Lorentzian reference frame is changed. A relativistically consistent definition of the motion of the fluid of quantum probability in configuration space is therefore impossible in this case. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal D (EPJ D) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Contextuality of the probability current in quantum mechanics.
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  Data: We revisit an argument proposed by Hardy (Phys. Rev. Lett. 68:2981–2984, 1992) concerning local realistic theories, but in terms of the motion of the probability fluid and its current within standard quantum mechanics. For a two-particle system, we discuss surprising properties of the flux lines of this current in configuration space, in particular (quasi) discontinuous variations when the context (the experimental setup) is changed. This occurs in both Galilean and Einsteinian relativity. In the latter case, discontinuous variations also appear without changing the setup, when the Lorentzian reference frame is changed. A relativistically consistent definition of the motion of the fluid of quantum probability in configuration space is therefore impossible in this case. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal D (EPJ D) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjd/s10053-026-01164-5
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      – Code: eng
        Text: English
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      – SubjectFull: Quantum mechanics
        Type: general
      – SubjectFull: Frames of reference (Relativity)
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      – SubjectFull: Quantum fluids
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      – SubjectFull: Relativity
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      – TitleFull: Contextuality of the probability current in quantum mechanics.
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            – D: 01
              M: 05
              Text: May2026
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              Y: 2026
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