scholarly journals Relativistic extended uncertainty principle from spacetime curvature

2022 ◽  
Vol 105 (2) ◽  
Author(s):  
Fabian Wagner
Keyword(s):  
Uncertainty Principle ◽  
Spacetime Curvature ◽  
Extended Uncertainty

Effect of the new extended uncertainty principle on black hole thermodynamics

2020 ◽  
Vol 129 (5) ◽  
pp. 59001
Author(s):  
E. Maghsoodi ◽  
H. Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
Extended Uncertainty

scholarly journals Thermostatistics with an invariant infrared cutoff

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
M. Roushan ◽  
K. Nozari
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Gravitational Effect ◽  
Maximal Length ◽  
Cosmological Horizon ◽  
Expanding Universe ◽  
Gravitational Effects ◽  
Infrared Cutoff ◽  
Extended Uncertainty ◽  
The Universe

AbstractQuantum gravitational effects may affect the large scale dynamics of the universe. Phenomenologically, quantum gravitational effect at large distances can be encoded in an extended uncertainty principle that admits a minimal measurable momentum/energy or a maximal length. This maximal length can be considered as the size of the cosmological horizon today. In this paper we study thermostatistics of an expanding universe as a gaseous system and in the presence of an invariant infrared cutoff. We also compare the thermostatistics of different eras of the evolution of the universe in two classes, Fermions and Bosons.

scholarly journals The generalized and extended uncertainty principles and their implications on the Jeans mass

2019 ◽  
Vol 488 (1) ◽  
pp. L69-L74 ◽  
Author(s):  
H Moradpour ◽  
A H Ziaie ◽  
S Ghaffari ◽  
F Feleppa
Keyword(s):  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Ideal Gas ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Newtonian Gravity ◽  
Uncertainty Principles ◽  
Temperature Relation ◽  
Heisenberg Uncertainty Principle ◽  
Extended Uncertainty

ABSTRACT The generalized and extended uncertainty principles affect the Newtonian gravity and also the geometry of the thermodynamic phase space. Under the influence of the latter, the energy–temperature relation of ideal gas may change. Moreover, it seems that the Newtonian gravity is modified in the framework of the Rényi entropy formalism motivated by both the long-range nature of gravity and the extended uncertainty principle. Here, the consequences of employing the generalized and extended uncertainty principles, instead of the Heisenberg uncertainty principle, on the Jeans mass are studied. The results of working in the Rényi entropy formalism are also addressed. It is shown that unlike the extended uncertainty principle and the Rényi entropy formalism that lead to the same increase in the Jeans mass, the generalized uncertainty principle can decrease it. The latter means that a cloud with mass smaller than the standard Jeans mass, obtained in the framework of the Newtonian gravity, may also undergo the gravitational collapse process.

scholarly journals Extended Uncertainty Principle black holes

2019 ◽  
Vol 789 ◽  
pp. 88-92 ◽  
Author(s):  
J.R. Mureika
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Extended Uncertainty

scholarly journals Influence of generalized and extended uncertainty principle on thermodynamics of FRW universe

2009 ◽  
Vol 674 (3) ◽  
pp. 204-209 ◽  
Author(s):  
Tao Zhu ◽  
Ji-Rong Ren ◽  
Ming-Fan Li
Keyword(s):  
Uncertainty Principle ◽  
Frw Universe ◽  
Extended Uncertainty

scholarly journals Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Yen Chin Ong
Keyword(s):  
Cosmological Constant ◽  
Pair Production ◽  
Uncertainty Principle ◽  
Correction Term ◽  
Correct Result ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Extended Uncertainty ◽  
Background Curvature

Abstract The rate of Schwinger pair production due to an external electric field can be derived heuristically from the uncertainty principle. In the presence of a cosmological constant, it has been argued in the literature that the uncertainty principle receives a correction due to the background curvature, which is known as the “extended uncertainty principle” (EUP). We show that EUP does indeed lead to the correct result for Schwinger pair production rate in anti-de Sitter spacetime (the case for de Sitter spacetime is similar), provided that the EUP correction term is negative (positive for the de Sitter case). We compare the results with previous works in the EUP literature, which are not all consistent. Our result further highlights an important issue in the literature of generalizations of the uncertainty principle: how much can heuristic derivations be trusted?

scholarly journals The extended uncertainty principle inspires the Rényi entropy

2019 ◽  
Vol 127 (6) ◽  
pp. 60006 ◽  
Author(s):  
H. Moradpour ◽  
C. Corda ◽  
A. H. Ziaie ◽  
S. Ghaffari
Keyword(s):  
Uncertainty Principle ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Extended Uncertainty
Sign in / Sign up

Export Citation Format

Share Document