English

A relational perspective on the Wigner-Araki-Yanase theorem

Quantum Physics 2020-11-13 v2

Abstract

We present a novel interpretation of the Wigner-Araki-Yanase (WAY) theorem based on a relational view of quantum mechanics. Several models are analysed in detail, backed up by general considerations, which serve to illustrate that the moral of the WAY theorem may be that in the presence of symmetry, a measuring apparatus must fulfil the dual purpose of both reflecting the statistical behaviour of the system under investigation, and acting as a physical reference system serving to define those quantities which must be understood as relative.

Keywords

Cite

@article{arxiv.2006.07047,
  title  = {A relational perspective on the Wigner-Araki-Yanase theorem},
  author = {Leon Loveridge},
  journal= {arXiv preprint arXiv:2006.07047},
  year   = {2020}
}

Comments

Version 2 contains some corrections and improvements suggested by an anonymous referee

R2 v1 2026-06-23T16:16:09.069Z