Phenomenology of GUP stars

Buoninfante, Luca; Lambiase, Gaetano; Luciano, Giuseppe Gaetano; Petruzziello, Luciano

doi:10.1140/epjc/s10052-020-08436-3

Cited by 65 publications

(35 citation statements)

References 99 publications

(97 reference statements)

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“…Implications of theories with a fundamental length are often addressed by deforming the Heisenberg Uncertainty Principle (HUP) in such a way as to accommodate a minimum uncertainty in position at Planck scale. The ensuing relation, commonly known as Generalized Uncertainty Principle (GUP), has been studied in a variety of contexts, ranging from quantum theory [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], to black hole physics [31][32][33][34][35][36][37][38][39][40][41][42][43][44] and cosmology [45,46]. Potential effects of a modified Heisenberg algebra have also been explored in graphene [47], where the minimal length is provided by the honeycomb lattice spacing.…”

Section: Introductionmentioning

confidence: 99%

Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model

Bosso

Luciano

2021

Eur. Phys. J. C

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Several models of quantum gravity predict the emergence of a minimal length at Planck scale. This is commonly taken into consideration by modifying the Heisenberg uncertainty principle into the generalized uncertainty principle. In this work, we study the implications of a polynomial generalized uncertainty principle on the harmonic oscillator. We revisit both the analytic and algebraic methods, deriving the exact form of the generalized Heisenberg algebra in terms of the new position and momentum operators. We show that the energy spectrum and eigenfunctions are affected in a non-trivial way. Furthermore, a new set of ladder operators is derived which factorize the Hamiltonian exactly. The above formalism is finally exploited to construct a quantum field theoretic toy model based on the generalized uncertainty principle.

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Section: Introductionmentioning

confidence: 99%

Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model

Bosso

Luciano

2021

Eur. Phys. J. C

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“…For the sake of completeness, it is worth mentioning that several works inspired by string theory [21][22][23][24] also allow for the existence of a momentum-dependent correction to the HUP; such an extension is known as the generalized uncertainty principle (GUP) (for several development of this subject, see Refs. [25][26][27][28][29][30][31][32][33][34][35][36][37][38] and therein).…”

Section: Introductionmentioning

confidence: 99%

Spontaneous Lorentz Violation from Infrared Gravity

2021

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In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we establish a one-to-one correspondence between this modified uncertainty principle and the Standard Model Extension (SME), a string-theoretical effective field theory that accounts for both explicit and spontaneous breaking of Lorentz symmetry. This tight correspondence between string-derived effective field theory and modified quantum mechanics with extended uncertainty relations is validated by comparing the predictions concerning a deformed Hawking temperature derived from the two models. Moreover, starting from the experimental bounds on the gravity sector of the SME, we derive the most stringent constraint achieved so far on the value of the free parameter in the extended Heisenberg uncertainty principle.

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“…The deformation parameter can be positive or negative [77,78]. Moreover, there are various proposed theoretical constraints in the literature from quantum systems [79,80] and also from gravitational systems [81,82].…”

Section: Quintessence Modified By the Gupmentioning

confidence: 99%

Interacting quintessence in light of generalized uncertainty principle: cosmological perturbations and dynamics

et al. 2021

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We consider a cosmological scenario endowed with an interaction between the universe’s dark components – dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy component is a quintessence scalar field with Lagrangian function modified by the quadratic Generalized Uncertainty Principle. The latter modification introduces new higher-order terms of fourth-derivative due to quantum corrections in the scalar field’s equation of motion. Then, we investigate asymptotic dynamics and general behaviour of solutions of the field equations for some interacting models of special interests in the literature. At the background level, the present interacting model exhibits the matter-dominated and de Sitter solutions which are absent in the corresponding quintessence model. Furthermore, to boost the background analysis, we study cosmological linear perturbations in the Newtonian gauge where we show how perturbations are modified by quantum corrected terms from the quadratic Generalized Uncertainty Principle. Depending on the coupling parameters, scalar perturbations show a wide range of behavior.

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Phenomenology of GUP stars

Cited by 65 publications

References 99 publications

Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model

Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model

Spontaneous Lorentz Violation from Infrared Gravity

Interacting quintessence in light of generalized uncertainty principle: cosmological perturbations and dynamics

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