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 Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle

2020 ◽  
Vol 17 (supp01) ◽  
pp. 2040004 ◽  
Author(s):  
Fabio Scardigli
Keyword(s):  
Black Holes ◽  
Large Class ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Classical Physics ◽  
Heisenberg Uncertainty ◽  
Extended Uncertainty

Hawking temperature for a large class of black holes (Schwarzschild, Reissner–Nordström, (Anti) de Sitter, with spherical, toroidal and hyperboloidal topologies) is computed using only laws of classical physics plus the “classical” Heisenberg Uncertainty Principle. This principle is shown to be fully sufficient to get the result, and there is no need to this scope of a Generalized Uncertainty Principle or an Extended Uncertainty Principle.

Probing an Extended Uncertainty Principle black hole with gravitational lensings

2019 ◽  
Vol 34 (20) ◽  
pp. 1950152 ◽  
Author(s):  
Xu Lu ◽  
Yi Xie
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Gravitational Lensing ◽  
Galactic Center ◽  
Apparent Size ◽  
Position Uncertainty ◽  
Fundamental Scale ◽  
Sgr A ◽  
Extended Uncertainty

We study signals of the weak and strong deflection gravitational lensings by an Extended Uncertainty Principle (EUP) black hole, which is based on a modified Heisenberg relation with an additional correction of position-uncertainty. Gravitational lensing observables, including positions, magnifications and differential time delays between lensed images, are obtained in both scenarios and analyzed for the supermassive black holes (SMBHs) in the Galactic Center (Sgr A*) and M87. We find that, for Sgr A*, measurements on the separation between the primary and secondary images in the weak deflection lensing and the apparent size of the photon sphere in the strong deflection lensing are two feasible ways to constrain EUP, imposing comparable lower bounds on the fundamental scale of EUP as [Formula: see text][Formula: see text]1010 m. For the SMBH in M87, measurements on strong deflection lensing observables are only available and they can give a much bigger lower bound as [Formula: see text][Formula: see text]1013 m. These results might provide hints for probing EUP black holes by gravitational lensings.

The coupled gravity of straight space-time and uncertainty principle

2021 ◽  
Author(s):  
Wen-Xiang Chen
Keyword(s):  
Boundary Condition ◽  
Black Holes ◽  
Uncertainty Principle ◽  
Complex Number ◽  
Loop Quantum Gravity ◽  
Bose Condensation ◽  
Time Parameter ◽  
Flow Density ◽  
Probability Flow ◽  
Incident Waves

This article points out that when the boundary condition $\frac{T}{T_{c}}=z$ (when z is a complex number) is preset, bosons can produce Bose condensation without an energy layer. Under Bose condensation, incident waves may condense in various black holes in the theory of loop quantum gravity. This paper shows that under the gravitational subsystem composed of two bosons, the extreme value of the measurement uncertainty principle can be smaller because the probability flow density is related to the time parameter. This is a model to verify the existence of gravitons.

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.

ABOUT THE GENERALIZED UNCERTAINTY PRINCIPLE

2004 ◽  
Vol 19 (23) ◽  
pp. 1767-1779 ◽  
Author(s):  
LI XIANG ◽  
YOU-GEN SHEN
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Heuristic Method ◽  
Black Body ◽  
Black Body Radiation ◽  
State Equations ◽  
Black Hole Radiation ◽  
Logarithmic Corrections ◽  
Thermodynamics Of Black Holes

Some consequences of the generalized uncertainty principle (GUP) are investigated, including the deformations of the Wein's law and the state equations of black body radiation. The effects of the GUP on the thermodynamics of black holes are investigated by a heuristic method. A bound on the luminosity of the black hole radiation is obtained. The logarithmic corrections to the Bekenstein–Hawking entropy are obtained in three cases. The potential relation between the GUP and the holographic principle is also briefly discussed.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

2019 ◽  
Vol 28 (08) ◽  
pp. 1950102
Author(s):  
Muhammad Rizwan ◽  
Khalil Ur Rehman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Black Hole Evaporation ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Made In

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

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