Cosmology from String T-duality and zero-point length

Fuente: arXiv
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Auteurs principaux: Luciano, Giuseppe Gaetano, Sheykhi, Ahmad
Format: Preprint
Publié: 2024
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author Luciano, Giuseppe Gaetano
Sheykhi, Ahmad
author_facet Luciano, Giuseppe Gaetano
Sheykhi, Ahmad
contents Inspired by String T-duality and taking into account the zero-point length correction, $l_0$, to the gravitational potential, we construct modified Friedmann equations by applying the first law of thermodynamics on the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe. The cosmological viability of this extended scenario is investigated by studying influences on the evolution of the early Universe and performing the cosmographic analysis. Furthermore, we explore the inflationary paradigm under the slow-roll condition. By testing the model against observational data, the zero-point length is constrained around the Planck scale, in compliance with the original assumption from String T-duality. We also study the growth of density perturbations in the linear regime. It is shown that the zero-point length stands out as an alternative characterization for the broken-power-law spectrum, which provides a better fitting for the experimental measurements comparing to the simple power-law potential. Finally, we focus on implications for the primordial gravitational waves (PGWs) spectrum. Should the zero-point length be running over energy scales, as is the case for all parameters and coupling constants in quantum gravity under renormalization group considerations, deviations from General Relativity (GR) might be potentially tested through upcoming PGW observatories.
format Preprint
id arxiv_https___arxiv_org_abs_2404_12707
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cosmology from String T-duality and zero-point length
Luciano, Giuseppe Gaetano
Sheykhi, Ahmad
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Inspired by String T-duality and taking into account the zero-point length correction, $l_0$, to the gravitational potential, we construct modified Friedmann equations by applying the first law of thermodynamics on the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe. The cosmological viability of this extended scenario is investigated by studying influences on the evolution of the early Universe and performing the cosmographic analysis. Furthermore, we explore the inflationary paradigm under the slow-roll condition. By testing the model against observational data, the zero-point length is constrained around the Planck scale, in compliance with the original assumption from String T-duality. We also study the growth of density perturbations in the linear regime. It is shown that the zero-point length stands out as an alternative characterization for the broken-power-law spectrum, which provides a better fitting for the experimental measurements comparing to the simple power-law potential. Finally, we focus on implications for the primordial gravitational waves (PGWs) spectrum. Should the zero-point length be running over energy scales, as is the case for all parameters and coupling constants in quantum gravity under renormalization group considerations, deviations from General Relativity (GR) might be potentially tested through upcoming PGW observatories.
title Cosmology from String T-duality and zero-point length
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2404.12707