How Robust is the Indistinguishability Between Quantum Fluctuation Seen from Noninertial Frame and Real Thermal Bath

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