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

2014; Hindawi Publishing Corporation; Volume: 2014; Linguagem: Inglês

10.1155/2014/718251

2356-7872

Ioannis Haranas, Ioannis Gkigkitzis,

Advanced Mathematical Theories and Applications

We investigate the relation of the mass of the graviton to the number of information N in a flat universe. As a result we find that the mass of the graviton scales as [Formula: see text]. Furthermore, we find that the number of gravitons contained inside the observable horizon is directly proportional to the number of information N; that is, N gr ∝ N. Similarly, the total mass of gravitons that exist in the universe is proportional to the number of information N; that is, [Formula: see text]. 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 m H as it is defined by Gerstein et al. (2003), times the square root of the quantity q - 1/2, where q 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 [Formula: see text], and therefore m gr obviously controls the geometry of the space time through a deviation of the geodesic spheres from the spheres of Euclidean metric.