scholarly journals A higher order GUP with minimal length uncertainty and maximal momentum

2012 ◽  
Vol 714 (2-5) ◽  
pp. 317-323 ◽  
Author(s):  
Pouria Pedram
Keyword(s):  
Higher Order ◽  
Minimal Length ◽  
Maximal Momentum

scholarly journals Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Kourosh Nozari ◽  
F. Moafi ◽  
F. Rezaee Balef
Keyword(s):  
Deformation Parameter ◽  
Heisenberg Algebra ◽  
Minimal Length ◽  
Field Theories ◽  
Majorana Fermion ◽  
Fermion Field ◽  
Free Fermion ◽  
Supersymmetric Field Theories ◽  
Fermion Fields ◽  
Maximal Momentum

We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra[x,p] = iℏ(1−βp+2β2p2), whereβis a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

scholarly journals Heisenberg Algebra in the Bargmann-Fock Space with Natural Cutoffs

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Maryam Roushan ◽  
Kourosh Nozari
Keyword(s):  
Uncertainty Principle ◽  
Fock Space ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Minimal Length ◽  
Maximal Momentum

We construct a Heisenberg algebra in Bargmann-Fock space in the presence of natural cutoffs encoded as minimal length, minimal momentum, and maximal momentum through a generalized uncertainty principle.

scholarly journals Higher-order theories from the minimal length

2016 ◽  
Vol 31 (16) ◽  
pp. 1650087 ◽  
Author(s):  
M. Dias ◽  
J. M. Hoff da Silva ◽  
E. Scatena
Keyword(s):  
General Relativity ◽  
Higher Order ◽  
Space Time ◽  
Minimal Length ◽  
Noncommutative Space ◽  
Inverse Square Law ◽  
Higher Derivative ◽  
Order Of Magnitude

We show that the introduction of a minimal length in the context of noncommutative space–time gives rise (after some considerations) to higher-order theories. We then explicitly demonstrate how these higher-derivative theories appear as a generalization of the standard electromagnetism and general relativity by applying a consistent procedure that modifies the original Maxwell and Einstein–Hilbert actions. In order to set a bound on the minimal length, we compare the deviations from the inverse-square law with the potentials obtained in the higher-order theories and discuss the validity of the results. The introduction of a quantum bound for the minimal length parameter [Formula: see text] in the higher-order QED allows us to lower the actual limits on the parameters of higher-derivative gravity by almost half of their order of magnitude.

scholarly journals Minimal Length, Maximal Momentum and the Entropic Force Law

2011 ◽  
Vol 51 (4) ◽  
pp. 1268-1275 ◽  
Author(s):  
Kourosh Nozari ◽  
Pouria Pedram ◽  
M. Molkara
Keyword(s):  
Minimal Length ◽  
Entropic Force ◽  
Maximal Momentum

scholarly journals Quantum gravity effects on charged microblack holes thermodynamics

2016 ◽  
Vol 31 (23) ◽  
pp. 1650129 ◽  
Author(s):  
Niloofar Abbasvandi ◽  
M. J. Soleimani ◽  
Shahidan Radiman ◽  
W. A. T. Wan Abdullah
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Minimal Length ◽  
Charged Black Hole ◽  
Type I ◽  
Potential Candidate ◽  
Heisenberg Uncertainty Principle ◽  
Gravity Effects ◽  
Maximal Momentum

The charged black hole thermodynamics is corrected in terms of the quantum gravity effects. Most of the quantum gravity theories support the idea that near the Planck scale, the standard Heisenberg uncertainty principle should be reformulated by the so-called Generalized Uncertainty Principle (GUP) which provides a perturbation framework to perform required modifications of the black hole quantities. In this paper, we consider the effects of the minimal length and maximal momentum as GUP type I and the minimal length, minimal momentum and maximal momentum as GUP type II on thermo dynamics of the charged TeV-scale black holes. We also generalized our study to the universe with the extra dimensions based on the ADD model. In this framework, the effect of the electrical charge on thermodynamics of the black hole and existence of the charged black hole remnants as a potential candidate for the dark matter particles are discussed.

scholarly journals Natural cutoffs effect on charged rotating TeV-scale black hole thermodynamics

2016 ◽  
Vol 26 (06) ◽  
pp. 1750043
Author(s):  
M. J. Soleimani ◽  
N. Abbasvandi ◽  
G. Gopir ◽  
Zainol Abidin Ibrahim ◽  
Shahidan Radiman ◽  
...  
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Minimal Length ◽  
Black Hole Thermodynamics ◽  
Frame Dragging ◽  
Gravity Effects ◽  
Maximal Momentum

We study the thermodynamics of charged rotating black hole in large extra dimensions scenario where quantum gravity effects are taken into account. We consider the effects of minimal length, minimal momentum, and maximal momentum as natural cutoffs on the thermodynamics of charged rotating TeV-scale black holes. In this framework, the effect of the angular momentum and charge on the thermodynamics of the black hole are discussed. We focus also on frame dragging and Sagnac effect of the micro black holes.

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