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The black hole entropy formula applied to local Rindler horizon at each spacetime point has been used in the literature to derive the Einstein field equation as an equation of state of a thermodynamical system of spacetime. In the present…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S C Tiwari

Barrow proposed that the area law of the horizon entropy might receive a "fractal correction" $S\propto A^{1+\Delta/2}$ due to quantum gravitational effects, with $0\leqslant \Delta \leqslant 1$ measures the deviation from the standard area…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Sofia Di Gennaro , Hao Xu , Yen Chin Ong

We wish to draw attention to a novel view of the effect of the quantum fluctuations during the radiation of accelerated particles, particularly those in storage rings. This view is inspired by the remarkable insight of Hawking that the…

Accelerator Physics · Physics 2008-11-26 Kirk T. McDonald

Starting from the first law of thermodynamics, $dE=T_hdS_h+WdV$, at apparent horizon of a FRW universe, and assuming that the associated entropy with apparent horizon has a quantum corrected relation, $S=\frac{A}{4G}-\alpha \ln…

High Energy Physics - Theory · Physics 2011-02-09 Ahmad Sheykhi

Entanglement entropy is crucial for understanding the link between quantum mechanics and information theory. This thesis investigates how energy fluctuations and acceleration affect entanglement entropy through three key scenarios. First,…

High Energy Physics - Theory · Physics 2025-10-28 Felipe Diaz

We analyze spacetimes with horizons and study the thermodynamic aspects of causal horizons, suggesting that the resemblance between gravitational and thermodynamic systems has a deeper quantum mechanical origin. We find that the observer…

General Physics · Physics 2016-10-03 Eric M Howard

In this paper a study of the accelerated expansion problem of the large scale universe is presented. To derive Friedmann like equations, describing the background dynamics of the recent universe we take into account, that it is possibile to…

General Relativity and Quantum Cosmology · Physics 2017-09-20 M. Khurshudyan , As. Khurshudyan

We analyse the response of a spatially extended direction-dependent local quantum system, a detector, moving on the Rindler trajectory of uniform linear acceleration in Minkowski spacetime, and coupled linearly to a quantum scalar field. We…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Sanved Kolekar

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan

Static observers in curved spacetimes may interpret their proper acceleration as the opposite of a local gravitational field (in the Newtonian sense). Based on this interpretation and motivated by the equivalence principle, we are led to…

General Relativity and Quantum Cosmology · Physics 2015-05-18 F. Dahia , P. J. Felix da Silva

The quantum fluctuations of an "accelerated" vacuum state, that is vacuum fluctuations in the presence of a constant electromagnetic field, can be described by the temperature $\TEH$. Considering $\TEH$ for the gyromagnetic factor $g=1$ we…

High Energy Physics - Phenomenology · Physics 2012-08-24 Lance Labun , Johann Rafelski

It is expected that the cosmological black holes are the closest realistic solutions of gravitational theories and they evolve with time. Moreover, the natural way of defining thermodynamic entities for the stationary ones is not applicable…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

In analyzing the nature of thermal radiance experienced by an accelerated observer (Unruh effect), an eternal black hole (Hawking effect) and in certain types of cosmological expansion, one of us proposed a unifying viewpoint that these can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alpan Raval , B. L. Hu , Don Koks

Euclidean continuation of several Lorentzian spacetimes with horizons requires treating the Euclidean time coordinate to be periodic with some period $\beta$. Such spacetimes (Schwarzschild, deSitter,Rindler .....) allow a temperature…

General Relativity and Quantum Cosmology · Physics 2016-08-31 T. Padmanabhan

We consider an explicit example of a process, where the entropy carried by radiation through an accelerating two-plane is proportional to the decrease in the area of that two-plane even when the two-plane is not a part of any horizon of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jarmo Makela

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…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eren Erberk Erkul

It has recently been shown that the Einstein equation can be derived by demanding a non-equilibrium entropy balance law dS = dQ/T + dS_i hold for all local acceleration horizons through each point in spacetime. The entropy change dS is…

High Energy Physics - Theory · Physics 2008-12-18 Christopher Eling

We investigate an important question of Hawking-like radiation as seen by an infalling observer during gravitational collapse. Using the functional Schrodinger formalism we are able to probe the time dependent regime which is out of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Eric Greenwood , Dejan Stojkovic

Ultracold fermionic atoms in an optical lattice, with a sudden position-dependent change (a quench) in the effective dispersion relation, have been proposed by Rodr\'iguez-Laguna et al. as an analogue spacetime test of the Unruh effect. We…

General Relativity and Quantum Cosmology · Physics 2018-10-05 Jorma Louko

We show that Minkowski single-particle states localized beyond the horizon modify the Unruh thermal distribution in an accelerated frame. This means that, contrary to classical predictions, accelerated observers can reveal particles emitted…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Riccardo Falcone , Claudio Conti