Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 718251, 8 pages
http://dx.doi.org/10.1155/2014/718251
Research Article

The Mass of Graviton and Its Relation to the Number of Information according to the Holographic Principle

1Department of Physics and Astronomy, York University, 4700 Keele Street, Toronto, ON, Canada M3J 1P3
2Departments of Mathematics and Biomedical Physics, East Carolina University, 124 Austin Building, East Fifth Street, Greenville, NC 27858-4353, USA

Received 2 June 2014; Accepted 27 July 2014; Published 29 October 2014

Academic Editor: Sergi Gallego

Copyright © 2014 Ioannis Haranas and Ioannis Gkigkitzis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the relation of the mass of the graviton to the number of information in a flat universe. As a result we find that the mass of the graviton scales as . Furthermore, we find that the number of gravitons contained inside the observable horizon is directly proportional to the number of information ; that is, . Similarly, the total mass of gravitons that exist in the universe is proportional to the number of information ; that is, . In an effort to establish a relation between the graviton mass and the basic parameters of the universe, we find that the mass of the graviton is simply twice the Hubble mass as it is defined by Gerstein et al. (2003), times the square root of the quantity , where is the deceleration parameter of the universe. In relation to the geometry of the universe we find that the mass of the graviton varies according to the relation , and therefore obviously controls the geometry of the space time through a deviation of the geodesic spheres from the spheres of Euclidean metric.