scholarly journals The signature of the quadratic generalized uncertainty principle on the newtonian gravity and galaxy mass profile

2021 ◽  
Vol 2098 (1) ◽  
pp. 012001
Author(s):  
F Apryandi ◽  
I H Belfaqih ◽  
A Sulaksono
Keyword(s):  
Uncertainty Principle ◽  
Free Parameter ◽  
Generalized Uncertainty Principle ◽  
Quantum Corrections ◽  
Newtonian Gravity ◽  
First Order ◽  
Equipartition Theorem ◽  
The Galaxy ◽  
Mass Profile ◽  
Law Of Gravity

Abstract In this study, we discuss the corrections implies by the presence of the general uncertainty principle (GUP) on Newton’s law of gravity by virtue of Verlinde’s proposal. We argue here that GUP leads to twofold modification, namely on the equipartition theorem and the holographic relation (Bekenstein-Hawking formula). Hence, following Verlinde’s proposal, we obtain quantum corrections term to the Newtonian gravity. In addition, we also report the quantum corrected mass profile of the galaxy. We restricted our derivation to first order in the GUP’s free parameter and compared it analytically with the other relevant works.

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 Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Yan-Gang Miao ◽  
Ying-Jie Zhao ◽  
Shao-Jun Zhang
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Decay Time ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Localized States ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Mixing Effect ◽  
Significant Difference

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.

scholarly journals Fermions Tunneling and Quantum Corrections for Quintessential Kerr-Newman-AdS Black Hole

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Wajiha Javed ◽  
Rimsha Babar
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Rotation Parameter ◽  
Hawking Temperature ◽  
Quantum Corrections ◽  
Charged Fermion ◽  
Fermions Tunneling

This paper is devoted to study charged fermion particles tunneling through the horizon of Kerr-Newman-AdS black hole surrounded by quintessence by using Hamilton-Jacobi ansatz. In our analysis, we investigate Hawking temperature as well as quantum corrected Hawking temperature on account of generalized uncertainty principle. Moreover, we discuss the effects of correction parameter β on the corrected Hawking temperature Te-H, graphically. We conclude that the temperature Te-H vanishes when β=100, whereas for β<100 and β>100, the temperature turns out to be positive and negative, respectively. We observe that the graphs of Te-H w.r.t. quintessence parameter α exhibit behavior only for the particular ranges, i.e., 0<α<1/6, charge 0<Q≤1, and rotation parameter 0<a≤1. For smaller and larger values of negative Λ, as horizon increases, the temperature decreases and increases, respectively.

scholarly journals The Effects of Minimal Length, Maximal Momentum, and Minimal Momentum in Entropic Force

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Zhong-Wen Feng ◽  
Shu-Zheng Yang ◽  
Hui-Ling Li ◽  
Xiao-Tao Zu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Friedmann Equation ◽  
Minimal Length ◽  
Quantum Corrections ◽  
Entropic Force ◽  
Planck Length ◽  
Maximal Momentum

The modified entropic force law is studied by using a new kind of generalized uncertainty principle which contains a minimal length, a minimal momentum, and a maximal momentum. Firstly, the quantum corrections to the thermodynamics of a black hole are investigated. Then, according to Verlinde’s theory, the generalized uncertainty principle (GUP) corrected entropic force is obtained. The result shows that the GUP corrected entropic force is related not only to the properties of the black holes but also to the Planck length and the dimensionless constantsα0andβ0. Moreover, based on the GUP corrected entropic force, we also derive the modified Einstein’s field equation (EFE) and the modified Friedmann equation.

scholarly journals Horizon Wavefunction of Generalized Uncertainty Principle Black Holes

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Luciano Manfredi ◽  
Jonas Mureika
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Free Parameter ◽  
Generalized Uncertainty Principle ◽  
Minimum Mass ◽  
Black Hole Mass ◽  
General Shape ◽  
Quantum Black Hole ◽  
Horizon Radius

We study the Horizon Wavefunction (HWF) description of a Generalized Uncertainty Principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M=m1+β/2MPl2/m2. Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability PBH that the source is a (quantum) black hole, that is, that it lies within its horizon radius. The case β<0 is qualitatively similar to the standard Schwarzschild case, and the general shape of PBH is maintained when decreasing the free parameter but shifted to reduce the probability for the particle to be a black hole accordingly. The probability grows with increasing mass slowly for more negative β and drops to 0 for a minimum mass value. The scenario differs significantly for increasing β>0, where a minimum in PBH is encountered, thus meaning that every particle has some probability of decaying to a black hole. Furthermore, for sufficiently large β we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing β, which creates larger M and RH terms. This is likely due to a “dimensional reduction” feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in (1+1) dimensions and the horizon size grows as RH~M-1.

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