Estimated Age of the Universe in Fractional Cosmology

Abstract

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.

Non-Commutative Classical and Quantum Fractionary Cosmology: FRW Case

“…In previous non-commutative quantum work [7], the term is usually modified with the scale factor, but in fractional cosmology in K-essence, this term remains unchanged, only the scalar field term undergoes important modifications, in the sense that the probability density undergoes a shift back to the direction of the scale factor, causing classical evolution to arise earlier than in the commutative world. This effect is due to the non-commutativity between the field coordinates in this formalism, which is related to some crucial effects due to the fact of having a fractional equation, such that the age of the universe is greater, of the order of 13.8196 Gyr., or more [21]. Recently, another age of our universe was found using fractional geometric parameter and thermodynamics variables, that being 13.91 Gyr.…”

“…The global effect of the non-commutativity between the field coordinates of the system in the fractional quantum cosmology scheme causes the probability density to shift or shrink in the opposite direction to the scale factor, causing the classical universe to emerge sooner, which would mean that the current universe should have more time than is usually mentioned, as mentioned in reference [21], employing the fractional framework.…”