How robust is the indistinguishability between quantum fluctuation seen from non-inertial frame and real thermal bath

TL;DR

This paper investigates whether the observed quantum fluctuations from non-inertial frames are truly indistinguishable from those in a real thermal bath, finding that some differences challenge the conjecture's robustness.

Contribution

The study compares observable quantities from different non-inertial frames to assess the validity of the indistinguishability conjecture in quantum field theory.

Findings

Not all stress-tensor components match between thermal and Rindler frames.

Indistinguishability is not fully guaranteed in rotating and Rindler scenarios.

Some observables differ, questioning the conjecture's robustness.

Abstract

We re-advocated the conjecture of indistinguishability between the quantum fluctuation observed from a Rindler frame and a real thermal bath, for the case of a free massless scalar field. To clarify the robustness and how far such is admissible, in this paper, we investigate the issue from two different non-inertial observers' perspective. A detailed analysis is being done to find the observable quantities as measured by two non-inertial observers (one is Rindler and another is uniformly rotating) on the real thermal bath and Rindler frame in Minkowski spacetime. More precisely, we compare Thermal-Rindler with Rindler-Rindler and Thermal-rotating with Rindler-rotating situations. In the first model it is observed that although some of the observables are equivalent, all the components of renormalised stress-tensor are not the same. In the later model, we again find that this equivalence is not totally guaranteed. Therefore we argue that the indistinguishability between the real thermal bath and the Rindler frame may not be totally true.