Violation of the holographic principle in the loop quantum gravity

¹ Department of Physics, Izmir Institute of Technology - TR35430, Izmir, Turkey
² Department of Physics and Astronomy, University of Waterloo - Waterloo, ON, N2L 3G1, Canada

Received: 15 October 2015
Accepted: 8 February 2016

Abstract

In this paper, we analyze the holographic principle using loop quantum gravity (LQG). This will be done by using polymeric quantization for analysing Yurtsever's holographic bound on the entropy, which is obtained from local quantum field theories. As the polymeric quantization is the characteristic feature of loop quantum gravity, we will argue that this calculation will indicate the effect of loop quantum gravity on the holographic principle. Thus, we will be able to explicitly demonstrate the violation of the holographic principle in the loop quantum gravity.