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

机译:根据全息原理引力子质量及其与信息量的关系

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摘要

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 mgr1/N. 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, MgrN. 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 mgrRsc, 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.
机译:我们研究了引力子质量与平面宇宙中信息N的数量的关系。结果,我们发现引力子的质量缩放为 m gr 1 / N 。此外,我们发现在可观察范围内包含的引力子的数量与信息的数量N成正比。类似地,存在于宇宙中的引子的总质量与信息的数量N成正比。也就是说, M gr N 。为了建立引力子质量与宇宙基本参数之间的关系,我们发现引子质量仅是Gerstein等人定义的哈勃质量m H的两倍。 (2003年)乘以数量q-1/2的平方根,其中q是宇宙的减速参数。关于宇宙的几何形状,我们发现引力子的质量根据关系 m gr R sc ,因此,m gr显然是通过测地线球与欧几里德度量球的偏差来控制时空的几何形状。

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