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Quantum Haecceity.

Ruth E Kastner1

  • 1Department of Philosophy, University of Maryland, College Park, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 30, 2023
PubMed
Summary
This summary is machine-generated.

Quantum systems lack traditional haecceity but require a weaker "quantum haecceity" for proper symmetrization. This challenges the idea that symmetrization is a postulate, suggesting it arises from specific physical conditions.

Keywords:
haecceityindistinguishabilitypermutation invariancequantum individualitysymmetrization

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Area of Science:

  • Quantum Physics
  • Philosophy of Science
  • Foundations of Quantum Mechanics

Background:

  • Extensive philosophical debate exists on identity, individuality, and distinguishability in quantum systems.
  • A central question is whether quantum systems possess 'haecceity,' a strong form of individuality.

Purpose of the Study:

  • To argue against the applicability of traditional, strong haecceity at the quantum level.
  • To introduce and define 'quantum haecceity' as a necessary concept for quantum symmetrization.
  • To re-examine the foundations of symmetrization and its relation to permutation invariance.

Main Methods:

  • Philosophical argumentation regarding the nature of individuality in quantum mechanics.
  • Analysis of the requirements for symmetrization of quantum states.
  • Consideration of the role of Hamiltonians in quantum exchange effects.

Main Results:

  • The traditional strong form of haecceity is deemed inapplicable to quantum systems.
  • A novel concept, 'quantum haecceity,' is proposed to explain the necessity of symmetrization.
  • The necessity of symmetrization is linked to specific physical conditions, not merely a postulate of permutation invariance.

Conclusions:

  • Quantum systems exhibit a weaker form of individuality ('quantum haecceity') essential for their description.
  • Symmetrization in quantum mechanics is not an arbitrary postulate but arises from physical interactions.
  • This work contributes to the ongoing discussion on identity and individuality in physics and mathematics.