The Unruh Effect in Relativistic Fluids
General Relativity and Quantum Cosmology
2025-11-27 v2
Abstract
We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics are recast as a local, time-dependent hyperbolic rotation in a Rindler-style state space where the instantaneous map between frames is the Thermodynamic Boost and its proper-time variation defines the Thermodynamic Acceleration, which results in an Unruh-like thermal spectrum. To leading order, the Thermodynamic Unruh temperature is frame-independent and universal across out-of-equilibrium relativistic fluid descriptions, from Israel-Stewart to modern theories.
Cite
@article{arxiv.2511.12366,
title = {The Unruh Effect in Relativistic Fluids},
author = {Eren Erberk Erkul},
journal= {arXiv preprint arXiv:2511.12366},
year = {2025}
}