Papers › Cosmology under the fractional calculus approach: a possible H₀ tension resolution?
Cosmology under the fractional calculus approach: a possible H₀ tension resolution?
Genly Leon, Miguel A. García-Aspeitia, Guillermo Fernandez-Anaya, Alberto Hernández-Almada, Juan Magaña, Esteban González
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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 μ fractional parameter and the age of the Universe t₀. 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 H₀ tension.
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