Horizon temperature on the real line

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.

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

References in corpus (2)

• The Quantum Mellin transform
• Accelerated horizons and Planck-scale kinematics

Cited by in corpus (6)

• Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
• Conformal quantum mechanics of causal diamonds
• Vacuum thermal effects in flat space-time from conformal quantum mechanics
• Cosmology as a CFT${}_1$
• Embedding into flat spacetime and black hole thermodynamics
• Modular theory and affine representations on the Rindler horizon