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It is well known that Minkowski vacuum appears as a thermal bath in the Rindler spacetime when the modes on the left wedge are traced out. We introduce the concept of a Rindler-Rindler spacetime, obtained by a further coordinate…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Sanved Kolekar , T. Padmanabhan

In this paper we continue the study of the physical consequences of our modified black hole entropy formula in expanding spacetimes. In particular, we apply the new formula to apparent horizons of Friedmann expanding universes with zero,…

High Energy Physics - Theory · Physics 2016-03-08 Stefano Viaggiu

The dispersion relation of de Sitter special relativity is obtained in a simple and compact form, which is formally similar to the dispersion relation of ordinary special relativity. It is manifestly invariant under change of scale of mass,…

General Relativity and Quantum Cosmology · Physics 2015-03-19 J. P. Beltran Almeida , C. S. O. Mayor , J. G. Pereira

We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any…

High Energy Physics - Theory · Physics 2023-02-28 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Moatasem Hassan , Xuan Mi

For over a century Minkowskian spacetime has dominated discussions of space contraction and time dilation within special relativity. Brown and Pooley have called into question both the assumptions of Minkowski and the effects his presumed…

History and Philosophy of Physics · Physics 2016-12-06 Paul A. Klevgard

Assuming both that our Universe is evolving into a de Sitter space and a vanishing cosmological constant, leaves only the option that the observed acceleration is provided by a "kinetic" energy of a scalar field. From an effective field…

General Relativity and Quantum Cosmology · Physics 2017-09-26 Cristiano Germani , Prado Martin-Moruno

The temperature associated with gravitation as presented in the Unruh effect and Hawking temperature serves to link different areas of physics, such as gravity, statistical mechanics, and quantum physics. In this paper, teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2021-05-19 A. F. Santos , S. C. Ulhoa , T. F. Furtado , Faqir C. Khanna

The activation temperature $T$ in the de Sitter environment is twice larger than the Gibbons-Hawking temperature, related to the cosmological horizon. We consider the activation temperature as the local temperature of the de Sitter vacuum,…

General Relativity and Quantum Cosmology · Physics 2023-07-18 G. E. Volovik

We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied…

Mathematical Physics · Physics 2014-12-22 Kevin H. Knuth , Newshaw Bahreyni

The concept of Euclidean time is proposed which is dual to the usual Minkowski time. The De Sitter solution is shown to be dual to the anti-De Sitter solution under the dual transformation in which Euclidean time and Minkowski time are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hirotaka Sugawara

This brief report studies the behavior of entropy in two recent models of cosmic evolution by J.A.S. Lima, S. Basilakos, and F.E.M. Costa [Phys. Rev. D \underline{86}, 103534 (2012)], and J. A. S. Lima, S. Basilakos, and J. Sol\'{a}…

General Relativity and Quantum Cosmology · Physics 2013-02-28 José Pedro Mimoso , Diego Pavón

Weakening the Euclidean assumption in special relativity and the coordinate-independence hypothesis in general relativity for the de Sitter space, we propose a de Sitter invariant special relativity with two universal constants of speed $c$…

High Energy Physics - Theory · Physics 2007-05-23 Han-Ying Guo , Chao-Guang Huang , Yu Tian , Zhan Xu , Bin Zhou

We investigate the phenomenon of particle production in a Friedmann-Robertson-Walker universe which contains a phase of de Sitter expansion for a finite interval, outside which it reduces to the flat Minkowski spacetime. We compute the…

High Energy Physics - Theory · Physics 2017-01-24 Victor E. Ambrus

It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

Recent developments in gravitation theory indicate that the classic general relativity is an effective macroscopic theory which will be eventually replaced with a more fundamental theory based on thermodynamics of yet unknown microscopic…

Optics · Physics 2017-03-09 Igor I. Smolyaninov

Using Relativistic Quantum Geometry we study back-reaction effects of space-time inside the causal horizon of a static de Sitter metric, in order to make a quantum thermodynamical description of space-time. We found a finite number of…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Juan Ignacio Musmarra , Mauricio Bellini

There exist several well-established procedures for computing thermodynamics for a single horizon spacetime. However, for a spacetime with multi-horizon, the thermodynamics is not very clear. It is not fully understood whether there exists…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Chiranjeeb Singha

Thermal field theory is an essential tool for comprehending various physical phenomena, including astrophysical objects such as neutron stars and white dwarfs, as well as the early stages of the universe. Nonetheless, the traditional…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Susobhan Mandal

We introduce a simple microscopic quantum mechanical model of low-dimensional de Sitter holography with an observer. Using semiclassical gravity and elementary thermodynamic considerations, we derive a formula for the total entropy of a 3D…

High Energy Physics - Theory · Physics 2025-02-07 Damiano Tietto , Herman Verlinde

The thermodynamic behavior of a decaying vacuum cosmology describing the entire cosmological history evolving between two extreme (early and late time) de Sitter eras is investigated. The thermal evolution from the early de Sitter to the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 J. A. S. Lima , S. Basilakos , Joan Solà