English

Quantum Haecceity

Quantum Physics 2023-09-07 v4 History and Philosophy of Physics

Abstract

There is an extensive philosophical literature on the interrelated issues of identity, individuality, and distinguishability in quantum systems. A key consideration is whether quantum systems are subject to a strong form of individuality termed "haecceity" (from the Latin for "this-ness"). I argue that the traditional, strong form of haecceity does not apply at the quantum level, but that in order to properly account for the need for symmetrization in quantum systems, a weaker kind of haecceity must be involved, which I call "quantum haecceity." In the process, I also question some generally accepted tenets of the current debate, such as the idea that symmetrization of states for identical quanta must be postulated and reflects permutation invariance. Instead, I note that a perturbative Hamiltonian is required for exchange effects, which suggests that the need for symmetrization arises from specific physical conditions.

Keywords

Cite

@article{arxiv.2301.00502,
  title  = {Quantum Haecceity},
  author = {Ruth E. Kastner},
  journal= {arXiv preprint arXiv:2301.00502},
  year   = {2023}
}

Comments

Final accepted version, to appear in Proceedings of the Workshop "Identity, Individuality and Indistinguishability in Physics and Mathematics," Philosophical Transactions A

R2 v1 2026-06-28T07:59:06.463Z