The generalized and extended uncertainty principles and their implications on the Jeans mass

Moradpour, H.; Ziaie, Amir Hadi; Ghaffari, S.; Feleppa, Fabiano

doi:10.1093/mnrasl/slz098

Cited by 56 publications

(34 citation statements)

References 41 publications

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“…For solving this problem, Moradpour et al corrected the limit of Jeans mass due to the KMM model. Their results showed that the modifications were less than the original case and were related to the properties of the GUP model [24]. As we discussed above, the higher order GUP has different properties from the KMM model and the ADV model, and it is interesting to investigate how the higher order GUP affects the Jeans mass.…”

Section: Introductionmentioning

confidence: 94%

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Higher-order generalized uncertainty principle corrections to the Jeans mass

Feng

Zhou

et al. 2021

Eur. Phys. J. C

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The Jeans instability is regarded as an important tool for analyzing the dynamics of a self-gravitating system. However, this theory is challenging since astronomical observation data show some Bok globules, whose masses are less than the Jeans mass and still have stars or at least undergo the star formation process. To explain this problem, we investigate the effects of the higher-order generalized uncertainty principle on the Jeans mass of the collapsing molecular cloud. The results in this paper show that the higher order generalized uncertainty principle has a very significant effect on the canonical energy and gravitational potential of idea gas, and finally leads to a modified Jeans mass lower than the original case, which is conducive to the generation of stars in small mass Bok globules. Furthermore, we estimate the new generalized uncertainty principle parameter $$\gamma _0$$ γ 0 by applying various data of Bok globules, and find that the range of magnitude of $$\gamma _0$$ γ 0 is $${10^{11}} {-} {10^{12}}$$ 10 11 - 10 12 .

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Section: Introductionmentioning

confidence: 94%

“…Based on the argument that relies upon the virial theorem in Ref. [24], the collapse of the molecular cloud occurs if the gravitational potential energy E p is larger than the canonical energy U , to wit…”

Section: The Jeans Mass and The Hupmentioning

confidence: 99%

Higher-order generalized uncertainty principle corrections to the Jeans mass

Feng

Zhou

et al. 2021

Eur. Phys. J. C

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“…Generalized entropies have also been employed to study black holes [10][11][12][13][14][15][16] and also to build new holographic dark energy models [17][18][19]. Additionally, it has been shown that such entropies (i) can provide a theoretical basis for the MOND theory [20], (ii) affect the Jeans mass [21], (iii) may be motivated by a e-mail: hn.moradpour@maragheh.ac.ir (corresponding author) b e-mail: ah.ziaie@maragheh.ac.ir c e-mail: mkzangeneh@scu.ac.ir the quantum features of gravity [22,23], and even, (iv) may describe inflation without considering inflaton [24].…”

Section: Introductionmentioning

confidence: 99%

Generalized entropies and corresponding holographic dark energy models

2020

Self Cite

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Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of black holes is achieved, a result in full agreement with a recent study (Mejrhit and Ennadifi in Phys Lett B 794:24, 2019). In addition, employing Kaniadakis statistics and its relation with that of Tsallis, the Kaniadakis entropy of black holes is obtained. The Sharma-Mittal and Rényi entropy contents of black holes are also addressed by employing their relations with Tsallis entropy. Thereinafter, relying on the holographic dark energy hypothesis and the obtained entropies, two new holographic dark energy models are introduced and their implications on the dynamics of a flat FRW universe are studied when there is also a pressureless fluid in background. In our setup, the apparent horizon is considered as the IR cutoff, and there is not any mutual interaction between the cosmic fluids. The results indicate that the obtained cosmological models have (i) notable powers to describe the cosmic evolution from the matter-dominated era to the current accelerating universe, and (ii) suitable predictions for the universe age.

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“…( 1), l p refers to the Planck length. However, the choice of β ∼ 1 renders quantum gravity effects too small to be measured; therefore, without imposing a priori any constraint on the value of the GUP parameter β, current experiments can predict larger upper bounds on it, which are compatible with observations (see for example [78][79][80][81][82][83][84][85][86][87][88][89]), including extreme astrophysical scenarios like those that can be observed in the neighborhoods of black holes or with alternative theories of gravity in the presence of dilaton BHs [90] or boson stars [91].…”

Section: Gup Limits From M87* With Oammentioning

confidence: 75%

Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*

Tamburini,

Feleppa,

Thidé

2021

Preprint

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We test the validity of the Generalized Heisenberg's Uncertainty principle in the presence of strong gravitational fields nearby rotating black holes; Heisenberg's principle is supposed to require additional correction terms when gravity is taken into account, leading to a more general formulation also known as the Generalized Uncertainty Principle. Using as probe electromagnetic waves acquiring orbital angular momentum when lensed by a rotating black hole, we find from numerical simulations a relationship between the spectrum of the orbital angular momentum of light and the corrections needed to formulate the Generalized Uncertainty Principle, here characterized by the rescaled parameter β0, a function of the Planck's mass and the bare mass of the black hole. Then, from the analysis of the observed twisted light due to the gravitational field of the compact object observed in M87*, we find new limits for the parameter β0. With this method, complementary to black hole shadow circularity analyses, we obtain more precise limits from the experimental data of M87*, confirming the validity of scenarios compatible with General Relativity, within the uncertainties due to the experimental errors present in EHT data and those due to the numerical simulations and analysis.

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The generalized and extended uncertainty principles and their implications on the Jeans mass

Cited by 56 publications

References 41 publications

Higher-order generalized uncertainty principle corrections to the Jeans mass

Higher-order generalized uncertainty principle corrections to the Jeans mass

Generalized entropies and corresponding holographic dark energy models

Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*

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