Horizon temperature without space-time

Michele Arzano
2020 Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)   unpublished
It is shown how the characteristic thermal effects that observers experience in space-times possessing an event horizon, can manifest already in a simple quantum system with affine symmetry living on the real line. The derivation presented is essentially group theoretic in nature: a thermal state emerges naturally when comparing different representations of the group of affine transformations of the real line. The freedom in the choice of different notions of translation generators is the key
more » ... rators is the key to the Unruh effect "on a line" we describe.
doi:10.22323/1.376.0227 fatcat:bhegioe2gjhznfjvw3ickf6n3e