scholarly journals Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Shovon Biswas ◽  
Mir Mehedi Faruk
Keyword(s):  
Dispersion Relation ◽  
Quantum Gravity ◽  
Statistical Mechanics ◽  
Planck Scale ◽  
Maximum Energy ◽  
Gravity Models ◽  
Momentum Scale ◽  
Modified Dispersion Relation ◽  
Gravity Effects ◽  
Photon Gas

Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics. In this paper, we resort to the methods of statistical mechanics in order to determine the effects of a deformed dispersion relation along with an upper bound in the partition function that maximum energy and/or momentum scale can have on the thermodynamics of photon gas. We also analyzed two distinct quantum gravity models in this paper.

scholarly journals Probing quantum gravity effects with quantum mechanical oscillators

2020 ◽  
Vol 74 (9) ◽  
Author(s):  
Michele Bonaldi ◽  
Antonio Borrielli ◽  
Avishek Chowdhury ◽  
Gianni Di Giuseppe ◽  
Wenlin Li ◽  
...  
Keyword(s):  
Quantum Gravity ◽  
Quantum Physics ◽  
Deformation Parameter ◽  
Thermal State ◽  
Classical Trajectory ◽  
Point Of View ◽  
Gravity Models ◽  
Gravity Effects ◽  
The Status ◽  
Mechanical Oscillators

Abstract Phenomenological models aiming to join gravity and quantum mechanics often predict effects that are potentially measurable in refined low-energy experiments. For instance, modified commutation relations between position and momentum, that account for a minimal scale length, yield a dynamics that can be codified in additional Hamiltonian terms. When applied to the paradigmatic case of a mechanical oscillator, such terms, at the lowest order in the deformation parameter, introduce a weak intrinsic nonlinearity and, consequently, deviations from the classical trajectory. This point of view has stimulated several experimental proposals and realizations, leading to meaningful upper limits to the deformation parameter. All such experiments are based on classical mechanical oscillators, i.e., excited from a thermal state. We remark indeed that decoherence, that plays a major role in distinguishing the classical from the quantum behavior of (macroscopic) systems, is not usually included in phenomenological quantum gravity models. However, it would not be surprising if peculiar features that are predicted by considering the joined roles of gravity and quantum physics should manifest themselves just on purely quantum objects. On the basis of this consideration, we propose experiments aiming to observe possible quantum gravity effects on macroscopic mechanical oscillators that are preliminary prepared in a high purity state, and we report on the status of their realization. Graphical abstract

MICRO BLACK HOLES IN THE LABORATORY AND OTHER EXPERIMENTAL SIGNATURES OF QUANTUM GRAVITY

2011 ◽  
Vol 20 (supp01) ◽  
pp. 85-93
Author(s):  
MARCUS BLEICHER ◽  
MARTIN SPRENGER
Keyword(s):  
Experimental Data ◽  
Black Holes ◽  
Quantum Gravity ◽  
High Precision ◽  
Planck Scale ◽  
High Energy ◽  
Precision Measurements ◽  
Gyroscopic Moment ◽  
Gravity Effects ◽  
Comparison With Experimental Data

We investigate the possibility of quantum gravity effects setting in at much lower energies than the Planck scale. In particular, we study the formation and detection of microscopic black holes at the LHC as well as precision measurements of the gyroscopic moment of the muon and neutrino oscillations. We find that quantum gravity effects lead to observable signatures both in high energy and high precision scenarios. Comparison with experimental data allows us to constrain the parameters of the models.

A note on Planck scale corrections to bouncing universe

2016 ◽  
Vol 25 (04) ◽  
pp. 1650046 ◽  
Author(s):  
A. D. Kamali ◽  
P. Sabounchi
Keyword(s):  
Dispersion Relation ◽  
Planck Scale ◽  
Frw Universe ◽  
Modified Dispersion Relation ◽  
Bouncing Universe ◽  
Friedmann Equations

In this paper, we investigate the effect modified dispersion relation (MDR) on the entropy-area relation of FRW universe, leading to the modification of Friedmann equations. In this regard, we show that limitations imposed by MDR leads to certain modifications of bouncing universe thermodynamics.

scholarly journals A novel mechanism for probing the Planck scale

2021 ◽  
Author(s):  
Saurya Das ◽  
Sujoy Modak
Keyword(s):  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Relativistic Correction ◽  
Leading Order ◽  
Mean Velocity ◽  
Important Improvement ◽  
Gravity Effects ◽  
Time Required

Abstract The Planck or the quantum gravity scale, being $16$ orders of magnitude greater than the electroweak scale, is often considered inaccessible by current experimental techniques. However, it was shown recently by one of the current authors that quantum gravity effects via the Generalized Uncertainty Principle affects the time required for free wavepackets to double their size, and this difference in time is at or near current experimental accuracies [1,2]. In this work, we make an important improvement over the earlier study, by taking into account the leading order relativistic correction, which naturally appears in the sytems under consideration, due to the significant mean velocity of the travelling wavepackets. Our analysis shows that although the relativistic correction adds nontrivial modifications to the results of [1,2], the earlier claims remain intact and are in fact strengthened. We explore the potential for these results being tested in the laboratory.

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

2021 ◽  
Author(s):  
Chengzhou Liu ◽  
Jin-Jun Tao
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Event Horizon ◽  
Planck Scale ◽  
Area Spectrum ◽  
Entropy Spectrum ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Gravity Effects ◽  
Newman Black Hole

Abstract Quantum gravity effects on spectroscopy for the charged rotating gravity’s rainbow are investigated. By utilizing an action invariant obtained from particles tunneling through the event horizon, the entropy and area spectrum for the modified Kerr-Newman black hole are derived. The equally spaced entropy spectrum characteristic of Bekenstein’s original derivation is recovered. And, the entropy spectrum is independent of the energy of the test particles, although the gravity’s rainbow itself is the energy dependent. Such, the quantum gravity effects of gravity’s rainbow has no influence on the entropy spectrum. On the other hand, due to the spacetime quantum effects, the obtained area spectrum is different from the original Bekenstein spectrum. It is not equidistant and has the dependence on the horizon area. And that, by analyzing the area spectrum from a specific rainbow functions, a minimum area with Planck scale is derived for the event horizon. At this, the area quantum is zero and the black hole radiation stops. Thus, the black hole remnant for the gravity’s rainbow is obtained from the area quantization. In addition, the entropy for the modified Kerr-Newman black hole is calculated and the quantum correction to the area law is obtained and discussed.

scholarly journals QUANTUM GRAVITY ON NEUTRINO MASS SQUARE DIFFERENCE

2010 ◽  
Vol 25 (25) ◽  
pp. 2183-2188 ◽  
Author(s):  
BIPIN SINGH KORANGA
Keyword(s):  
Quantum Gravity ◽  
Neutrino Mass ◽  
Scale Effects ◽  
Mass Matrix ◽  
Gravitational Interaction ◽  
Planck Scale ◽  
Neutrino Masses ◽  
Modified Dispersion Relation ◽  
Perturbation Matrix ◽  
Breaking Scale

We consider the non-renormalizable interaction term as a perturbation of the neutrino mass matrix. We assume that the neutrino masses and mixing arise through physics at a scale intermediate between Planck scale and the electroweak breaking scale. We also assume that, just above the electroweak breaking scale, neutrino masses are nearly degenerate and their mixing is bi-maximal. Quantum gravity (Planck scale effects) lead to an effective SU (2)L × U (1) invariant dimension-5 Lagrangian involving neutrino and Higgs fields. On symmetry breaking, this operator gives rise to correction to the above masses and mixing. The gravitational interaction MX = M P , we find that for degenerate neutrino mass spectrum, the considered perturbation term change the [Formula: see text] and [Formula: see text] mass square difference is unchanged above GUT scale. The nature of gravitational interaction demands that the element of this perturbation matrix should be independent of flavor indices. In this letter, we study the quantum gravity effects on neutrino mass square difference, namely modified dispersion relation for neutrino mass square differences.

scholarly journals On the UV Dimensions of Loop Quantum Gravity

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Michele Ronco
Keyword(s):  
Quantum Gravity ◽  
Quantum Correction ◽  
Loop Quantum Gravity ◽  
Planck Scale ◽  
Space Time ◽  
Two Dimensions ◽  
Quantum Corrections ◽  
Independent Effect ◽  
Modified Dispersion Relation ◽  
Model Independent

Planck-scale dynamical dimensional reduction is attracting more and more interest in the quantum-gravity literature since it seems to be a model independent effect. However, different studies base their results on different concepts of space-time dimensionality. Most of them rely on thespectraldimension; others refer to theHausdorffdimension; and, very recently, thethermaldimension has also been introduced. We here show that all these distinct definitions of dimension give the same outcome in the case of the effective regime of Loop Quantum Gravity (LQG). This is achieved by deriving a modified dispersion relation from the hypersurface-deformation algebra with quantum corrections. Moreover, we also observe that the number of UV dimensions can be used to constrain the ambiguities in the choice of these LQG-based modifications of the Dirac space-time algebra. In this regard, introducing thepolymerizationof connections, that is,K→sin⁡δK/δ, we find that the leading quantum correction givesdUV=2.5. This result may indicate that the running to the expected value of two dimensions is ongoing, but it has not been completed yet. FindingdUVat ultrashort distances would require going beyond the effective approach we here present.

scholarly journals PLANCK FLUCTUATIONS, MEASUREMENT UNCERTAINTIES AND THE HOLOGRAPHIC PRINCIPLE

2007 ◽  
Vol 22 (11) ◽  
pp. 791-806 ◽  
Author(s):  
MANFRED REQUARDT
Keyword(s):  
Quantum Gravity ◽  
Statistical Mechanics ◽  
Critical Analysis ◽  
Degrees Of Freedom ◽  
Planck Scale ◽  
Quantum Statistical Mechanics ◽  
Correlated Systems ◽  
Logical Independence ◽  
Measurement Uncertainties ◽  
Quantum Statistical

Starting from a critical analysis of recently reported surprisingly large uncertainties in length and position measurements deduced within the framework of quantum gravity, we embark on an investigation both of the correlation structure of Planck scale fluctuations and the role the holographic hypothesis is possibly playing in this context. While we prove the logical independence of the fluctuation results and the holographic hypothesis (in contrast to some recent statements in that direction) we show that by combining these two topics one can draw quite strong and interesting conclusions about the details of the fluctuation structure and the microscopic dynamics on the Planck scale. We further argue that these findings point to a possibly new and generalized form of quantum statistical mechanics of strongly (anti)correlated systems of degrees of freedom in this fundamental regime.

scholarly journals The effect of modified dispersion relation on dumb holes

2018 ◽  
Vol 27 (12) ◽  
pp. 1850113 ◽  
Author(s):  
Abhijit Dutta ◽  
Sunandan Gangopadhyay ◽  
Sebastian Bahamonde ◽  
Mir Faizal
Keyword(s):  
Dispersion Relation ◽  
Hawking Radiation ◽  
Velocity Of Sound ◽  
Modified Dispersion Relation ◽  
Intermediate Scale ◽  
Photon Gas

In this paper, we will deform the usual energy–momentum dispersion relation of a photon gas at an intermediate scale between the Planck and electroweak scales. We will demonstrate that such a deformation can have nontrivial effects on the physics of dumb holes. So, motivated by the physics of dumb holes, we will first analyze the effect of such a deformation on thermodynamics. Then, we observe that the velocity of sound also gets modified due to such a modification of the thermodynamics. This changes the position of the horizon of dumb holes, and the analogous Hawking radiation from a dumb hole. Therefore, dumb holes can be used to measure the deformation of the usual energy–momentum dispersion relation.

scholarly journals Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Guillem Domènech ◽  
Mark Goodsell ◽  
Christof Wetterich
Keyword(s):  
Quantum Gravity ◽  
Top Quark ◽  
Quark Mass ◽  
Scalar Potential ◽  
Planck Scale ◽  
Neutrino Masses ◽  
Top Quark Mass ◽  
Vacuum Stability ◽  
Intermediate Scale ◽  
Yukawa Couplings

Abstract A general prediction from asymptotically safe quantum gravity is the approximate vanishing of all quartic scalar couplings at the UV fixed point beyond the Planck scale. A vanishing Higgs doublet quartic coupling near the Planck scale translates into a prediction for the ratio between the mass of the Higgs boson MH and the top quark Mt. If only the standard model particles contribute to the running of couplings below the Planck mass, the observed MH∼ 125 GeV results in the prediction for the top quark mass Mt∼ 171 GeV, in agreement with recent measurements. In this work, we study how the asymptotic safety prediction for the top quark mass is affected by possible physics at an intermediate scale. We investigate the effect of an SU(2) triplet scalar and right-handed neutrinos, needed to explain the tiny mass of left-handed neutrinos. For pure seesaw II, with no or very heavy right handed neutrinos, the top mass can increase to Mt ∼ 172.5 GeV for a triplet mass of M∆ ∼ 108GeV. Right handed neutrino masses at an intermediate scale increase the uncertainty of the predictions of Mt due to unknown Yukawa couplings of the right-handed neutrinos and a cubic interaction in the scalar potential. For an appropriate range of Yukawa couplings there is no longer an issue of vacuum stability.

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