scholarly journals Bounds on large extra dimensions from the Generalized Uncertainty Principle

2017 ◽  
Vol 32 (15) ◽  
pp. 1750082
Author(s):  
Marco Cavaglià ◽  
Benjamin Harms ◽  
Shaoqi Hou
Keyword(s):  
Black Hole ◽  
Lower Bounds ◽  
Uncertainty Principle ◽  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Production Cross ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Minimum Length ◽  
Minimum Length Scale

The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale [Formula: see text]. In this scenario, black holes must have a radius larger than [Formula: see text]. They are hotter and evaporate faster than in standard Hawking thermodynamics. We study the effects of the GUP on black hole production and decay at the LHC in models with large extra dimensions. Lower bounds on the fundamental Planck scale and the minimum black hole mass at formation are determined from black hole production cross-section limits by the CMS Collaboration. The existence of a minimum length generally decreases the lower bounds on the fundamental Planck scale obtained in the absence of a minimum length.

scholarly journals Thermodynamics of a Non-Stationary Black Hole Based on Generalized Uncertainty Principle

2017 ◽  
Vol 1 (2) ◽  
pp. 127
Author(s):  
Mustari Mustari ◽  
Yuant Tiandho
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Correction Term ◽  
Apparent Horizon ◽  
Generalized Uncertainty Principle ◽  
Minimum Length ◽  
Theory Of Relativity ◽  
Stationary Black Hole ◽  
Gravitational Fields

In the general theory of relativity (GTR), black holes are defined as objects with very strong gravitational fields even light can not escape. Therefore, according to GTR black hole can be viewed as a non-thermodynamic object. The worldview of a black hole began to change since Hawking involves quantum field theory to study black holes and found that black holes have temperatures that analogous to black body radiation. In the theory of quantum gravity there is a term of the minimum length of an object known as the Planck length that demands a revision of Heisenberg's uncertainty principle into a Generalized Uncertainty Principle (GUP). Based on the relationship between the momentum uncertainty and the characteristic energy of the photons emitted by a black hole, the temperature and entropy of the non-stationary black hole (Vaidya-Bonner black hole) were calculated. The non-stationary black hole was chosen because it more realistic than static black holes to describe radiation phenomena. Because the black hole is dynamic then thermodynamics studies are conducted on both black hole horizons: the apparent horizon and its event horizon. The results showed that the dominant correction term of the temperature and entropy of the Vaidya-Bonner black hole are logarithmic.

scholarly journals Spacetime can be neither discrete nor continuous

2018 ◽  
Vol 33 (12) ◽  
pp. 1850069 ◽  
Author(s):  
Christian Corda
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Quantum Physics ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Interesting Consequence ◽  
Schwarzschild Spacetime ◽  
Maximum Value ◽  
Original Mass ◽  
Energy Dependent

We show that our recent Bohr-like approach to black hole (BH) quantum physics implies that spacetime quantization could be energy-dependent. Thus, in a certain sense, spacetime can be neither discrete nor continuous. Our approach also permits to show that the “volume quantum” of the Schwarzschild spacetime increases with increasing energy during BH evaporation and arrives at a maximum value when the Planck scale is reached and the generalized uncertainty principle (GUP) prevents the total BH evaporation. Remarkably, this result does not depend on the BH original mass. The interesting consequence is that the behavior of BH evaporation should be the same for all Schwarzschild BHs when the Planck scale is approached.

scholarly journals BLACK HOLES REMNANTS IN EXTRA DIMENSIONS AND DARK MATTER

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4979-4992 ◽  
Author(s):  
KOUROSH NOZARI ◽  
S. HAMID MEHDIPOUR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dark Matter ◽  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Generalized Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
Gravitational Effects ◽  
Model Universe ◽  
Suitable Framework

Bekenstein–Hawking formalism of black hole thermodynamics should be modified to incorporate quantum gravitational effects. Generalized Uncertainty Principle (GUP) provides a suitable framework to perform such modifications. In this paper, we consider a general form of GUP to find black hole thermodynamics in a model universe with large extra dimensions. We will show that black holes radiate mainly in the four-dimensional brane. Existence of black holes remnants as a possible candidate for dark matter is discussed.

scholarly journals Some Implications of Two Forms of the Generalized Uncertainty Principle

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Mohammed M. Khalil
Keyword(s):  
Hydrogen Atom ◽  
Quantum Gravity ◽  
Harmonic Oscillator ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Standard Uncertainty ◽  
Minimum Length ◽  
Length Scale ◽  
Minimum Length Scale ◽  
Lorentz Force Law

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of the GUP and calculate their implications on the energy of the harmonic oscillator and the hydrogen atom more accurately than previous studies. In addition, we show how the GUP modifies the Lorentz force law and the time-energy uncertainty principle.

GENERALIZED UNCERTAINTY PRINCIPLE AND PARIKH–WILCZEK TUNNELING

2009 ◽  
Vol 24 (30) ◽  
pp. 5669-5680 ◽  
Author(s):  
S. HAMID MEHDIPOUR
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Statistical Correlation ◽  
Point Of View ◽  
The Other ◽  
Black Hole Radiation ◽  
Black Hole Remnant ◽  
De Broglie Wavelength

We investigate the modifications of the Hawking radiation by the Generalized Uncertainty Principle (GUP) and the tunneling process. By using the GUP-corrected de Broglie wavelength, the squeezing of the fundamental momentum cell, and consequently a GUP-corrected energy, we find the nonthermal effects which lead to a nonzero statistical correlation function between probabilities of tunneling of two massive particles with different energies. Then the recovery of part of the information from the black hole radiation is feasible. From the other point of view, the inclusion of the effects of quantum gravity as the GUP expression can halt the evaporation process, so that a stable black hole remnant is left behind, including the other part of the black hole information content. Therefore, these features of the Planck-scale corrections may solve the information problem in black hole evaporation.

scholarly journals Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole

2012 ◽  
Vol 90 (5) ◽  
pp. 425-432 ◽  
Author(s):  
S. Hamid Mehdipour
Keyword(s):  
Black Hole ◽  
Noncommutative Geometry ◽  
Uncertainty Principle ◽  
Coherent States ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Gravitational Effects ◽  
Vaidya Black Hole ◽  
Vaidya Metric

Using the noncommutative geometry inspired Vaidya metric obtained in terms of coordinate coherent states and also utilizing the generalized uncertainty principle (GUP), we show that the nonthermal nature of the Hawking spectrum leads to Planck-scale nonthermal correlations between emitted modes of evaporation. Our analysis thus exhibits that owing to self-gravitational effects plus noncommutativity and GUP influences, information can emerge in the form of Planck-scale correlated emissions from the black hole.

Sign in / Sign up

Export Citation Format

Share Document