Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force

TL;DR

This paper explores how entropic force formalism can derive UV/IR relations, uncertainty principles, and holographic dark energy in cosmology, offering new insights into holographic principles and dark energy models.

Contribution

It demonstrates that entropic force formalism can derive UV/IR relations, uncertainty principles, and introduce an improved holographic screen concept in cosmology.

Findings

Derivation of UV/IR relation from entropic force

Identification of holographic dark energy term in Friedmann equation

Proposal of an improved holographic screen concept

Abstract

We investigate the implications of the entropic force formalism proposed by Verlinde. We show that an UV/IR relation proposed by Cohen et al, as well as an uncertainty principle proposed by Hogan can be derived from the entropic force formalism. We show that applying the entropic force formalism to cosmology, there is an additional term in the Friedmann equation, which can be identified as holographic dark energy. We also propose an intuitive picture of holographic screen, which can be thought of as an improvement of Susskind's holographic screen.