Photon gas thermodynamics in dS and AdS momentum spaces

Gorji, Mohammad Ali; Hosseinzadeh, Vahid; Nozari, Kourosh; Vakili, Babak

doi:10.1088/1742-5468/2016/07/073107

Cited by 4 publications

(4 citation statements)

References 69 publications

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“…The thermodynamics of a gas of massless particles is encoded in the partition function. The relevant possibly nontrivial ingredients that contribute to its evaluation are the on-shell relation and the measure of integration on momentum space [13,27]. As was shown in the previous Section, for the (generalized) Snyder model only the integration measure is deformed (see Eq.…”

Section: Thermal Dimension Of the (Generalized) Snyder Modelmentioning

confidence: 97%

Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes

Amelino‐Camelia¹,

Giacomini²,

Gubitosi³

2018

Physics Letters B

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We report an investigation of the Snyder noncommutative spacetime and of some of its most natural generalizations, also looking at them as a powerful tool for comparing different notions of dimensionality of a quantum spacetime. It is known that (generalized-)Snyder noncommutativity, while having rich off-shell implications (kinematical Hilbert space), does not affect on-shell particles (physical Hilbert space), and we argue that physically meaningful notions of dimensionality should describe such spacetimes as trivially four-dimensional, without any running with scales. By studying the thermodynamics of a gas of massless particles living on these spacetimes, we find that indeed the Snyder model and its generalizations have constant thermal dimension of four. We also compute the spectral dimension of the Snyder model and its generalizations, finding that, as a result of its sensitivity to off-shell properties, it runs from the standard value of four in the infrared towards lower values in the ultraviolet limit.

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Section: Thermal Dimension Of the (Generalized) Snyder Modelmentioning

confidence: 97%

Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes

Amelino‐Camelia¹,

Giacomini²,

Gubitosi³

2018

Physics Letters B

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“…In the limit λ → ∞, we get back the commutative result Z 1 = 8πV β 3 . The total partition function for the N -particles system in the Maxwell-Boltzmann statistics will be [32] ZN (T,…”

Section: κ-Deformed Partition Function Of Photon Gasmentioning

confidence: 99%

“…Since here we have considered the photon as a massless relativistic classical particle. We are not considering quantum nature of photon [32] therefore we are using canonical ensemble for fixed N number of particle.…”

Section: κ-Deformed Partition Function Of Photon Gasmentioning

confidence: 99%

Effect of non-commutativity of space-time on thermodynamics of photon gas

Verma¹,

Nandi²

2019

Gen Relativ Gravit

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Doubly special relativity(DSR) introduce a minimal length scale i.e. the Planck length scale, which is independent length scale in addition to the speed of light in the normal special theory of relativity(STR). Doubly special relativity leads to study the κ-Minkowski space-time. In this paper, we present the result of our investigation on the thermodynamics of photon gas in the κ-Minkowski space-time. For studying this, we start with the κ-deformed dispersion relation and keep terms upto first order in the deformation parameter a and we study that how does κ-deformed dispersion relation affect the thermodynamics of photon gas. In the limit, deformation parameter a → 0, we get back the all results in the special theory of relativity(STR) [1].

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“…where the measure of integration in momentum space should be modified under the deformed symmetries, for example, in the context of modified thermodynamics in Ref. [68].…”

Section: Black Hole Complementarity With Gup In Gravity's Rain-bowmentioning

confidence: 99%

Black hole complementarity with the generalized uncertainty principle in Gravity's Rainbow

Gim

Kim

2018

J. Cosmol. Astropart. Phys.

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When gravitation is combined with quantum theory, the Heisenberg uncertainty principle could be extended to the generalized uncertainty principle accompanying a minimal length. To see how the generalized uncertainty principle works in the context of black hole complementarity, we calculate the required energy to duplicate information for the Schwarzschild black hole. Itshows that the duplication of information is not allowed and black hole complementarity is still valid even assuming the generalized uncertainty principle. On the other hand, the generalized uncertainty principle with the minimal length could lead to a modification of the conventional dispersion relation in light of Gravity's Rainbow, where the minimal length is also invariant as well as the speed of light. Revisiting the gedanken experiment, we show that the no-cloning theorem for black hole complementarity can be made valid in the regime of Gravity's Rainbow on a certain combination of parameters.

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Photon gas thermodynamics in dS and AdS momentum spaces

Cited by 4 publications

References 69 publications

Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes

Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes

Effect of non-commutativity of space-time on thermodynamics of photon gas

Black hole complementarity with the generalized uncertainty principle in Gravity's Rainbow

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