The quantum state of the universe from deformation quantization and classical-quantum correlation

Rashki, M.; Jalalzadeh, S.

doi:10.1007/s10714-016-2178-3

Cited by 7 publications

(2 citation statements)

References 66 publications

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“…The application of the Wigner function has been considered already in quantum cosmologies with deformed phase spaces with slightly different motivations from ours [41,42]. Our present aim is to construct the probability distribution whose arguments are noncommutative variables, say, X and Y , from the Wigner function defined by the wave function of commutative variables x and y.…”

Section: B Wigner Function and Deformationmentioning

confidence: 99%

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Kan,

Kuniyasu,

Shiraishi

et al. 2019

Preprint

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We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.

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Section: B Wigner Function and Deformationmentioning

confidence: 99%

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Kan,

Kuniyasu,

Shiraishi

et al. 2019

Preprint

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“…The functional, which encompasses both gravitational and matter components, with the matter field being treated as a perfect fluid [36,[91][92][93][94][95][96], can be expressed as follows:…”

Section: Fractional Flrw Cosmologymentioning

confidence: 99%

Estimated Age of the Universe in Fractional Cosmology

Costa,

Jalalzadeh,

da Silva Júnior

et al. 2023

Fractal Fract

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Our proposed cosmological framework, which is based on fractional quantum cosmology, aims to address the issue of synchronicity in the age of the universe. To achieve this, we have developed a new fractional ΛCDM cosmological model. We obtained the necessary formalism by obtaining the fractional Hamiltonian constraint in a general minisuperspace. This formalism has allowed us to derive the fractional Friedmann and Raychaudhuri equations for a homogeneous and isotropic cosmology. Unlike the traditional de Sitter phase, our model exhibits a power-law accelerated expansion in the late-time universe, when vacuum energy becomes dominant. By fitting the model’s parameters to cosmological observations, we determined that the fractional parameter of Lévy equals α=1.986. Additionally, we have calculated the age of the universe to be 13.8196 Gyr. Furthermore, we have found that the ratio of the age to Hubble time from the present epoch to the distant future is finite and confined within the interval 0.9858≤Ht<95.238.

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Quantum phase space description of a cosmological minimal massive bigravity model

Vera-Hernández

2021

Gen Relativ Gravit

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The quantum state of the universe from deformation quantization and classical-quantum correlation

Cited by 7 publications

References 66 publications

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Estimated Age of the Universe in Fractional Cosmology

Quantum phase space description of a cosmological minimal massive bigravity model

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