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【摘要】

Among several amazing properties of black holes, which are characterized as the spacetime singularity enclosed by a one-way membrane viz. event horizon, its thermodynamic properties and its similarity with fluid dynamics are among the most remarkable characteristics in theoretical physics. Later investigation shows that these features can be attributed to any general null surfaces as well, which are not necessarily black hole horizons. In the absence of proper quantum gravitational theory, these thermodynamic properties and fluid-gravity correspondence play an important role as they interpret gravitation as an emergent phenomenon. From the naive perspective of quantum field theory, it is generally expected that the physical parameters are invariant under the conformal transformation, which basically implies the rescaling of the length of spacetime. As it is known, a gravitational theory can be presented in infinitely many conformally connected frames, of which the Jordan frame and the Einstein frame stand out. In this discussion, I shall discuss my findings regarding the equivalence/inequivalence of the physical parameters (such as the thermodynamic parameters and the parameters related to fluid-gravity correspondence) of the two frames that are conformally connected. The talk will be based on the following papers: Gen. Rel. Grav. 54,no.9, 112 (2022), arXiv:2307.06674 (submitted to PRD)