Cosmology under the fractional calculus approach: a possible $H_0$ tension resolution?
Abstract
Recently, a new field of study called fractional cosmology has emerged. It uses fractional calculus to modify the standard derivative equations and change the Friedmann equations. The evolution of cosmic species densities is also affected by the fractional parameter and the age of the Universe . This new approach to cosmology modifies the Friedmann equations and allows for a late cosmic acceleration without the need for a dark energy component. This could be a breakthrough in solving longstanding problems in cosmology. By analyzing observational Hubble data and Type Ia supernovae, we have been able to place strict constraints on the fractional and cosmological parameters. Our results suggest that the Universe may be older than previously estimated. We also explore whether fractional cosmology can help resolve the tension.
Keywords
Cite
@article{arxiv.2304.14465,
title = {Cosmology under the fractional calculus approach: a possible $H_0$ tension resolution?},
author = {Genly Leon and Miguel A. García-Aspeitia and Guillermo Fernandez-Anaya and Alberto Hernández-Almada and Juan Magaña and Esteban González},
journal= {arXiv preprint arXiv:2304.14465},
year = {2023}
}
Comments
We have gathered information from arXiv:2207.00878 and arXiv:2303.16409 to create a report on the topic of [gr-qc]. The report focuses on the presentation given by Genly Leon at the Tensions in Cosmology Corfu2022 conference, titled "Cosmology under the fractional calculus approach: a possible $H_0$ tension resolution?" (limit of 15 pages)