Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective

Abstract

By considering the Friedmann equations emerging from the entropy-area law of black hole thermodynamics in the context of the generalized uncertainty principle, we study tachyon inflation in the early universe. The presence of a minimal length modifies the Friedmann equations and hence the slow-roll and perturbation parameters in the tachyon model. These modifications, though small, affect the viability of the tachyon inflation in confrontation with observational data. We compare the numerical results of the model with Planck2018 TT, TE, EE +lowE+lensing+BAO+BK14(18) data and Planck2018 TT, TE,EE +lowE+lensing+BK14(18) +BAO+LIGO $\&$ Virgo2016 data at $68\%$ and $95\%$ CL. We show that while the tachyon inflation with power-law, inverse power-law and inverse exponential potentials is not observationally viable in comparison with the $1\sigma$ and $2\sigma$ confidence levels of the new joint data, in the presence of the minimal length the model becomes observationally viable.

Accepted for publication in Physics of the Dark Universe,29 pages, 12 figures, 10 tables

References in corpus (8)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Minimal Length, Friedmann Equations and Maximum Density
• Planck and BICEP/Keck Array 2018 constraints on primordial gravitational waves and perspectives for future B-mode polarization measurements
• Thermodynamics of Lemaitre-Tolman-Bondi Model
• Vacuum decay constraints on the Higgs curvature coupling from inflation
• Constraints on tachyon inflationary models with an AdS/CFT correspondence
• Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length