Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off

Mishra, Dheeraj Kumar; Chandra, Nitin; Vaibhav, Vinay

doi:10.1016/j.aop.2017.08.004

Cited by 7 publications

(10 citation statements)

References 58 publications

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“…Therefore, it is a third-order AP.  = 4: (1 4 , 2 4 , 3 4 , 4 4 , 5 4 , 6 4 … ) ≡ (1, 16, 81, 256, 625, 1296 … ). When we calculate the first successive differences, we obtain the sequence (15, 65, 175, 369, 671 … ), which is not an AP.…”

Section: Resultsmentioning

confidence: 99%

“…The Riemann zeta function has a fundamental application in mathematics, appearing in other areas of knowledge as in problems of regularization in physics, field theory, Stefan-Boltzmann law, Debye model for two dimensions and also in nuclear magnetic resonance and magnetic resonance by [4]. The Stefan-Boltzmann law that measures the total energy radiated by a blackbody is given by = 48 4 4 3 .ℎ 3…”

Section: Introductionmentioning

confidence: 99%

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Untitled

2020

NNTDM

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Riemann zeta function has a great importance in number theory, constituting one of the most studied functions. The zeta function, being a series, has a close relationship with the arithmetic progressions (AP). AP of higher order allows the understanding of several probabilities involving sequences. In this paper, we will approach Riemann zeta function with an AP of higher order. We will deduce a formula from the progression that will allow to express of the zeta function for a natural number greater than or equal to 2. In this way, we will show that the study of an AP of higher order can be very useful in the study of Riemann zeta function, and it may open other possibilities for studying the value of this function for odd numbers.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Untitled

2020

NNTDM

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“…It is proposed that, the Lorentz algebra to incorporate the invariant length scale such that the algebra remains intact but the representation becomes nonlinear. This in turn gives a Modified Dispersion Relation (MDR) as [24][25][26][27][28][29][30][31][32]…”

Section: Gravity's Rainbowmentioning

confidence: 99%

“…The energy dependence of gravity's rainbow gives an expression on the spacetime quantum effects, and it is concretely expressed by the energy functions of f E E p ( ) and g E E p ( ) from MDR. Varieties forms of the energy functions in MDR have been proposed [24][25][26][27][28][29][30][31][32]. Among them, a specific rainbow functions is proposed as [24,25,31,32]…”

Section: -=mentioning

confidence: 99%

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

Liu¹,

Tao²

2022

Commun. Theor. Phys.

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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.

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“…In order to do that, it is possible to consider a free Fermi gas model in which effects of DSR modify the relation between energy density and pressure in the interior of the star. In this context, the relation between Fermi gases and Lorentz invariance [10,11,12,13,14], and relation in other thermodynamic systems [15,16,17,18] have been studied in recent years. Here, we present a modified Fermi gas due to the DSR and study the structure of a simple model of Neutron Star (NS).…”

Section: Introductionmentioning

confidence: 99%

Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics

Santos,

Mota,

da Silva

et al. 2021

Preprint

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Deformed dispersion relations are considered in the study of equations of state of Fermi gas with applications to compact objects. Different choices of deformed energy relations are used in the formulation of our model. As a first test, we consider a relativistic star with a simple internal structure. The mass-radius diagrams obtained suggest a positive influence of deformed Fermi gas, depending of the functions employed. In addition, we comment on how realistic equations of state, in which interactions between nucleons are taken into account, can be addressed.

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Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off

Cited by 7 publications

References 58 publications

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

Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics

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