Black Hole Thermodynamics and Modified Gup Consistent With Doubly Special Relativity

Zeynali, K.; Darabi, F.; Motavalli, Hossein

doi:10.1142/s0217732312502276

Cited by 13 publications

(7 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently it has been revealed, in the context of doubly special relativity (DSR), that a test particles' momentum cannot be arbitrarily imprecise and therefore there is an upper bound for momentum fluctuations. Based on DSR, a new form of GUP was proposed 24,30,72 […”

Section: Massless Dirac Equation Under the Gupmentioning

confidence: 99%

Scattering in graphene quantum dots under generalized uncertainty principle

Long

et al. 2019

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

In this article, the Dirac electron scattering problem on circular barrier of radius [Formula: see text] is studied under the generalized uncertainty principle (GUP). The expressions of scattering coefficients, scattering cross-section and scattering efficiency of massless Dirac particle are obtained by solving the massless Dirac equation under GUP and discussed by numerical methods. It shows that the scattering coefficient, the scattering cross-section, and the scattering efficiency depend explicitly on the GUP parameter [Formula: see text]. For the scattering coefficient [Formula: see text], GUP may cause slight shift in the oscillation position of [Formula: see text] and make some peaks value of [Formula: see text] smaller. For scattering cross-section and scattering efficiency, GUP may also lead to slight shift in their oscillation position and increase of amplitude when the GUP parameter increases.

show abstract

Section: Massless Dirac Equation Under the Gupmentioning

confidence: 99%

Scattering in graphene quantum dots under generalized uncertainty principle

Long

et al. 2019

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

show abstract

“…Such a difference reflects the essential improvements in constructing the linear GUP approach [20,21]. Furthermore, correction terms for temperature, entropy, and heat capacity of Schwarzschild black hole are obtained from the commutation relations in the framework of modified uncertainty principle suggested by DSR [47]. The authors utilized quadratic GUP [15,16] and GUP-DSR [48] approaches.…”

Section: Jcap07(2013)040mentioning

confidence: 99%

Impacts of generalized uncertainty principle on black hole thermodynamics and Salecker-Wigner inequalities

Tawfik

2013

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

Abstract. We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities. Utilizing Heisenberg uncertainty principle, the Hawking temperature, Bekenstein entropy, specific heat, emission rate and decay time are calculated. As the evaporation entirely eats up the black hole mass, the specific heat vanishes and the temperature approaches infinity with an infinite radiation rate. It is found that the GUP approach prevents the black hole from the entire evaporation. It implies the existence of remnants at which the specific heat vanishes. The same role is played by the Heisenberg uncertainty principle in constructing the hydrogen atom. We discuss how the linear GUP approach solves the entire-evaporation-problem. Furthermore, the black hole lifetime can be estimated using another approach; the Salecker-Wigner inequalities. Assuming that the quantum position uncertainty is limited to the minimum wavelength of measuring signal, Wigner second inequality can be obtained. If the spread of quantum clock is limited to some minimum value, then the modified black hole lifetime can be deduced. Based on linear GUP approach, the resulting lifetime difference depends on black hole relative mass and the difference between black hole mass with and without GUP is not negligible.

show abstract

“…Based on the GUP, it was found that there is no existence of black holes at LHC in [22]. The black hole thermodynamics was discussed in [23][24][25][26], respectively. The relation between the area and entropy and the corrected Hawking temperatures were gotten.…”

Section: Introductionmentioning

confidence: 99%

Remnants, fermions’ tunnelling and effects of quantum gravity

Chen

Jiang

Wang

et al. 2013

J. High Energ. Phys.

View full text Add to dashboard Cite

The remnants are investigated by fermions' tunnelling from a 4-dimensional charged dilatonic black hole and a 5-dimensional black string. Based on the generalized uncertainty principle, effects of quantum gravity are taken into account. The quantum numbers of the emitted fermions affects the Hawking temperatures. For the black hole, the quantum gravity correction slows down the increase of the temperature, which leads to the remnant left in the evaporation. For the black string, the existence of the remnant is determined by the quantum gravity correction and effects of the extra compact dimension.

show abstract

Black Hole Thermodynamics and Modified Gup Consistent With Doubly Special Relativity

Cited by 13 publications

References 59 publications

Scattering in graphene quantum dots under generalized uncertainty principle

Scattering in graphene quantum dots under generalized uncertainty principle

Impacts of generalized uncertainty principle on black hole thermodynamics and Salecker-Wigner inequalities

Remnants, fermions’ tunnelling and effects of quantum gravity

Contact Info

Product

Resources

About