English

Horizon temperature on the real line

High Energy Physics - Theory 2018-11-30 v2 General Relativity and Quantum Cosmology Quantum Physics

Abstract

We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our result shows that a thermal distribution naturally emerges in connecting quantum states belonging to representations associated to distinct notions of translational symmetry.

Keywords

Cite

@article{arxiv.1804.10550,
  title  = {Horizon temperature on the real line},
  author = {Michele Arzano and Jerzy Kowalski-Glikman},
  journal= {arXiv preprint arXiv:1804.10550},
  year   = {2018}
}

Comments

4 pages, no figures; v2: extensive revision, references updated, matches published version

R2 v1 2026-06-23T01:38:17.747Z