The role of an invariant IR cutoff in late time cosmological dynamics

Nozari, Kourosh; Dehghani, Parham

doi:10.1016/j.physletb.2019.03.032

Cited by 7 publications

(7 citation statements)

References 24 publications

(41 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Putting in E nx , E ny , and E nz calculated in relation (30) and using relation (13) as indicated in one-dimensional case, it reads…”

Section: Generalization To Three-dimensionsmentioning

confidence: 99%

See 1 more Smart Citation

IR-deformed thermodynamics of quantum bouncers and the issue of dimensional reduction

Dehghani¹,

Nozari²

2020

Preprint

View full text Add to dashboard Cite

We probe the low-temperature behavior of a system of quantum bouncers as a theoretical model for ultracold neutrons within a low energy modified version of the standard quantum mechanics. Working in one dimension, the energy spectrum and stationary states of the system are obtained via an infrared modified Hamiltonian within the WKB approximation. In this manner, we can study energy levels of a system of ultracold neutrons as an important probe towards exploring the low energy manifestation of quantum gravitational effects. Our calculated energy levels of ultracold neutrons are in accordance with the observed energy levels, as obtained in the famous Nesvizhevsky et al. experiment, except one level difference. Upon this difference, our results show that the ground state energy of the system is very close to zero compared with the observed value in the Nesvizhevsky et al. experiment. Except this one level difference, there is an obvious agreement between our calculated results and the mentioned experimental results. We also show that there is a displacement in the location of the peaks of probability density functions of the stationary states towards zero, leading to more overall compactness of the peaks. Then we tackle modified thermodynamics of a system of quantum bouncers in the infrared regime via an ensemble theory and through a numerical analysis both in one dimension and also three dimensions. In this respect, the modified entropy and internal energy for a system of IR-deformed quantum bouncers are obtained in the low-temperature regime, showing a tendency towards stationary state at very low temperature and interestingly a trace of dimensional reduction in this infrared regime. While the issue of dimensional reduction has been essentially assigned to the high energy regime, here we show that there is a trace of dimensional reduction in infrared regime with one important difference: in the high energy regime, the dimensional reduction occurs effectively from D = 3 to D = 1, but here in this low energy regime, there is a trace of dimensional reduction from D = 3 to D = 2.

show abstract

“…Putting in E nx , E ny , and E nz calculated in relation (30) and using relation (13) as indicated in one-dimensional case, it reads…”

Section: Generalization To Three-dimensionsmentioning

confidence: 99%

“…See some efforts devoted to probing the effects of EUP on physical problems in Refs. [9,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

IR-deformed thermodynamics of quantum bouncers and the issue of dimensional reduction

Dehghani¹,

Nozari²

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Late time cosmological dynamics with an infrared cutoff is treated in different perspectives recently in Refs. [10]. Very recently, Anagnostopoulos et al via a paper (that has achieved honorable mention award in gravity research foundation awards) have argued that IR quantum gravity solves naturally cosmic acceleration and the coincidence problem [11].…”

Section: Introductionmentioning

confidence: 99%

Thermostatistics with an invariant infrared cutoff

Roushan

Nozari

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

Quantum gravitational effects may affect the large scale dynamics of the universe. Phenomenologically, quantum gravitational effect at large distances can be encoded in an extended uncertainty principle that admits a minimal measurable momentum/energy or a maximal length. This maximal length can be considered as the size of the cosmological horizon today. In this paper we study thermostatistics of an expanding universe as a gaseous system and in the presence of an invariant infrared cutoff. We also compare the thermostatistics of different eras of the evolution of the universe in two classes, Fermions and Bosons.

show abstract

“…Then, any endeavor to change the existing pillars of quantum world such that its modified picture lives up to a unification with general relativity is appreciated. There are thus phenomenological research works addressing the extension of quantum mechanics on a curved geometry [1][2][3][4][5][6][7][8][9]. Dirac and Klein-Gordon oscillators are examined on Anti-de Sitter space which include deformed Heisenberg uncertainty principle and non-commutative momentum space [10].…”

Section: Introductionmentioning

confidence: 99%