Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition

TL;DR

This paper explores the effects of deformed Horava-Lifshitz cosmology and entropic gravity on early universe phase transitions, analyzing how parameters influence energy density and temperature during quark-hadron transition, supported by lattice QCD data.

Contribution

It introduces a novel application of entropic gravity to Horava-Lifshitz cosmology, examining the impact of the parameter  on early universe phase transition dynamics.

Findings

Parameter  significantly affects energy density and temperature evolution.

The model aligns with lattice QCD data for cross-over phase transitions.

Deformed Horava-Lifshitz cosmology provides new insights into early universe thermodynamics.

Abstract

Based on the assumptions of the standard model of cosmology, a phase transition associated with chiral symmetry breaking after the electroweak transition has occurred at approximately $10\mu$ seconds after the Big Bang to convert a plasma of free quarks and gluons into hadrons. We consider such a phase transition in the context of a deformed Horava-Lifshitz cosmology. The Friedmann equation for the deformed Horava-Lifshitz universe is obtained using the entropic interpretation of gravity, proposed by Verlinde. We investigate the effects of the parameter $\omega$ appearing in the theory on the evolution of the physical quantities relevant to a description of the early universe, namely, the energy density and temperature before, during and after the phase transition. Finally, we study the cross-over phase transition in both high and low temperature regions in view of the recent lattice QCD simulations data.