2015/02/26 by C. A. S. Silva, Silva, C. A. S. · 2 citations
Physics and Astronomy · #Big Bounce #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #FOS: Physical sciences #Friedmann equations #Friedmann–Lemaître–Robertson–Walker metric #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Holographic principle #Holography #Initial singularity #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Spacetime #Theoretical physics #Universe #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1503.00559
published in arXiv (Cornell University) (Cornell University) · This article corresponds to an updated version of "Quantum corrected Friedmann equations from loop quantum black holes entropy-area relation". The title has been modified in front of new results found out
openalex publication_date 2015/02/26 · arxiv created 2015/10/12 · arxiv updated 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based upon the holographic principle, Jacobson demonstrated that the spacetime can be viewed as a gas of atoms with a related entropy given by the Bekenstein-Hawking formula. Following this argument, Friedmann equations can be derived by using Clausius relation to the apparent horizon of Friedmann-Robertson-Walker (FRW) universe. Loop Quantum Gravity is a propose to description of the spacetime behavior in situations where its atomic characteristic arises. Among these situations, the behavior of our universe near the Big Bang singularity is described by Loop Quantum Cosmology (LQC). However, a derivation of the LQC equations based on the Bekenstein bound is lacking. In this work, we obtain the quantum corrected Friedmann equations from the entropy-area relation given by loop quantum black holes (LQBH), setting a still absent connection between holographic and LQC descriptions of the cosmos. Connections with braneworld cosmology have been also addressed.