Test of quantum gravity in statistical mechanics

Das, Saurya; Fridman, Mitja

doi:10.1103/physrevd.104.026014

Cited by 8 publications

(10 citation statements)

References 33 publications

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“…Such dependence has been proposed in other works as well (see, for e.g., Ref. Ong (2018)) and suggested by the different estimations of the GUP parameter in tabletop experiments, where β 0 > 0 (Pikovski et al, 2012;Bosso et al, 2017;Scardigli et al, 2017;Kumar and Plenio, 2018;Das and Fridman, 2021), and in astrophysical/cosmological observations, where β 0 < 0 (Jizba et al, 2010;Ong, 2018;Buoninfante et al, 2019;Nenmeli et al, 2021;Das et al, 2022;Jizba et al, 2022) (see also Luciano (2021b) for a recent review).…”

Section: Introductionsupporting

confidence: 53%

“…Such a minimal length strongly opposes the traditional Heisenberg uncertainty principle of quantum mechanics, which should be properly modified approaching the QG scale. The set of models corresponding to a modified uncertainty relation is collectively referred to as the generalized uncertainty principle (GUP) (Maggiore, 1993a;Maggiore, 1993b;Maggiore, 1994;Kempf et al, 1996;Kempf, 1997;Scardigli, 1999;Scardigli and Casadio, 2003;Ali et al, 2011;Pikovski et al, 2012;Bosso et al, 2017;Scardigli et al, 2017;Bosso, 2018;Kumar and Plenio, 2018;Gnatenko and Tkachuk, 2019;Luciano, 2021a;Bosso, 2021;Bosso and Luciano, 2021;Das and Fridman, 2021;Giardino and Salzano, 2021;Gomes, 2022). Such models are inspired from candidate theories of quantum gravity, such as string theory and loop quantum gravity, in which an effective minimal observable length appears in scattering experiments or as a structural feature of space-time.…”

Section: Introductionmentioning

confidence: 99%

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Dark matter as an effect of a minimal length

Bosso

Fridman

Luciano

2022

Front. Astron. Space Sci.

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In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the generalized uncertainty principle. Such effects are applied to the Bekenstein–Hawking entropy to derive a modified law of gravity through Verlinde’s conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length.

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Section: Introductionsupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Dark matter as an effect of a minimal length

Bosso

Fridman

Luciano

2022

Front. Astron. Space Sci.

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“…(a) depicts that as β and T rise, the function F (β, T ) decreases which means that the effects of QG are crucial specifically at low temperatures T ≪ T c . This behavior holds true also in ideal Bose gases [37]. For instance, in the case of 133 Cs BEC with parameters: a = 450a 0 (a 0 is the Bohr radius) [71], n = 10 20 m −3 , the function F (β, T ) lowers by ∼ 13% from β = 0.006/(mc s ) 2 to β = 0.06/(mc s ) 2 at temperature T ≃ 0.27T 0 c .…”

Section: B Thermal Fluctuationsmentioning

confidence: 64%

“…This * a.boudjemaa@univ-chlef.dz latter predicts corrections to diverse quantum phenomena [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Furthermore, based on minimum observable length, implications of QG on the statistical properties of ideal Bose gases have been widely investigated (see, e.g., [31][32][33][34][35][36][37] and references therein).…”

Section: Introductionmentioning

confidence: 99%

“…When considering the effects of minimal length, the density of states is modified giving rise to substantially affect the Bogoliubov dispersion relation, the quantum fluctuations, and the thermodynamic properties of the system (see e.g. [32,34,37]). In this work we compute correction terms arising from a natural deformation of QG governed by the HFB equations based on a minimal length framework to the condensed depletion, the anoma-lous density, the chemical potential, the ground-state energy, the free energy, and the superfluid density.…”

Section: Introductionmentioning

confidence: 99%

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Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

Boudjemaa

2022

Preprint

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We investigate quantum gravity corrections due to the generalized uncertainty principle on threedimensional weakly interacting Bose gases at both zero and finite temperatures using the timedependent Hatree-Fock-Bogoliubov theory. We derive useful formulas for the depletion, the anomalous density and some thermodynamic quantities such as the chemical potential, the ground-state energy, the free energy, and the superfluid density. It is found that the presence of a minimal length leads to modify the fluctuations of the condensate and its thermodynamic properties in the weak and strong quantum gravitational regimes. Unexpectedly, the interplay of quantum gravity effects and quantum fluctuations stemming from interactions may lift both the condensate and the superfluid fractions. We show that quantum gravity minimizes the interaction force between bosons leading to the formation of ultradilute Bose condensates. Our results which can be readily probed in current experiments may offer a new attractive possibility to understand gravity in the framework of quantum mechanics.

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Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect

Övgün,

Sese,

Pantig

2023

Annalen der Physik

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Four spherically symmetric but non‐asymptotically flat black hole solutions surrounded with spherical dark matter distribution perceived under the minimal length scale effect is derived via the generalized uncertainty principle. Here, the effect of this quantum correction, described by the parameter γ, is considered on a toy model galaxy with dark matter and the three well‐known dark matter distributions: the cold dark matter, scalar field dark matter, and the universal rotation curve. The aim is to find constraints to γ by applying these solutions to the known supermassive black holes: Sagittarius A (Sgr. A*) and Messier 87* (M87*), in conjunction with the available Event Horizon telescope. The effect of γ is then examined on the event horizon, photonsphere, and shadow radii, where unique deviations from the Schwarzschild case are observed. As for the shadow radii, bounds are obtained for the values of γ on each black hole solution at 3σ confidence level. The results revealed that under minimal length scale effect, black holes can give positive (larger shadow) and negative values (smaller shadow) of γ, which are supported indirectly by laboratory experiments and astrophysical or cosmological observations, respectively.

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Test of quantum gravity in statistical mechanics

Cited by 8 publications

References 33 publications

Dark matter as an effect of a minimal length

Dark matter as an effect of a minimal length

Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect

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