Quantum Hamilton-Jacobi Cosmology and Classical-Quantum Correlation

Fathi, Mohsen; Jalalzadeh, S.

doi:10.1007/s10773-017-3363-1

Cited by 4 publications

(3 citation statements)

References 42 publications

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“…Also important is that a suitably large classical universe could emerge from Bohmian quantum cosmology without requiring a classical inflationary phase [45]. Notably, complex Hamilton-Jacobi formalism of quantum cosmology reveals the same possibility [46,47].…”

Section: Discussionmentioning

confidence: 99%

A quantum cosmology approach to cosmic coincidence and inflation

Jalalzadeh¹,

Mohammadi²,

Demir³

2022

Preprint

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We study the quantum cosmology of a closed, spatially-homogeneous and isotropic FRW minisuperspace model, with electromagnetic radiation representing the matter content. We solve the associated Wheeler-DeWitt (WDW) equation using the holographic regularization method, and show that the electromagnetic zero-point energy forms the vacuum energy, and provides a unified resolution to the horizon, flatness, singularity, and cosmic coincidence problems. This quantum cosmology approach forms an alternative to the usual inflationary paradigm and can be extended to more general matter contents and emergent gravity schemes.

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Section: Discussionmentioning

confidence: 99%

A quantum cosmology approach to cosmic coincidence and inflation

Jalalzadeh¹,

Mohammadi²,

Demir³

2022

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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“…In particular, it may be worth investigating quan-tum properties and their correspondence with classical properties for the inverted oscillator, which can be applied in the description of fundamental inflation models in cosmology [9,10], black hole physics with and without Rindler observers [11][12][13][14][15][16], string theory [17,18], the Wheeler-DeWitt minisuperspace problem [19,20], etc. The quantum-classical correspondence in the development of cosmologies is important in order to meet the condition that a given cosmological model is robust [21][22][23][24][25]. Quantum descriptions of the inverted oscillator are somewhat unfamiliar and mathematical handling of such a system is not so easy, even if its classical analysis is relatively well known.…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical correspondence for the inverted oscillator

Maamache

Choi

2017

Chinese Phys. C

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While quantum-classical correspondence for a system is a very fundamental problem in modern physics, the understanding of its mechanism is often elusive, so the methods used and the results of detailed theoretical analysis have been accompanied by active debate. In this study, the differences and similarities between quantum and classical behavior for an inverted oscillator have been analyzed based on the description of a complete generalized Airy function-type quantum wave solution. The inverted oscillator model plays an important role in several branches of cosmology and particle physics. The quantum wave packet of the system is composed of many sub-packets that are localized at different positions with regular intervals between them. It is shown from illustrations of the probability density that, although the quantum trajectory of the wave propagation is somewhat different from the corresponding classical one, the difference becomes relatively small when the classical excitation is sufficiently high. We have confirmed that a quantum wave packet moving along a positive or negative direction accelerates over time like a classical wave. From these main interpretations and others in the text, we conclude that our theory exquisitely illustrates quantum and classical correspondence for the system, which is a crucial concept in quantum mechanics.

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Quantum Hamilton-Jacobi Cosmology and Classical-Quantum Correlation

Cited by 4 publications

References 42 publications

A quantum cosmology approach to cosmic coincidence and inflation

A quantum cosmology approach to cosmic coincidence and inflation

Estimated Age of the Universe in Fractional Cosmology

Quantum-classical correspondence for the inverted oscillator

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