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

Abstract

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 mgr∝1/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, Mgr∝N. 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 mgr∝Rsc, 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.

First-Order Cosmological Perturbations Engendered by Point-Like Masses

“…It is noteworthy as well that since λ ∼ a 3/2 (3.5), one has m g ∼ a −3/2 , so m g ∼ 1/t at the matter-dominated stage of the Universe evolution (when a ∼ t 2/3 ). This dependence on time agrees with that found by Haranas & Gkigkitzis (2014). At the radiation-dominated stage λ ∼ a 2 , m g ∼ a −2 .…”

“…It is remarkable that setting λ equal to /(m g c), ≡ h/(2π), gives m g = /(λc) ≈ 1.7×10 −33 eV today (when a = a 0 ), and the ratio 1/λ 2 = m 2 g c 2 / 2 turns out to be numerically equal to 2Λ/3. And vice versa, if one does not initially resort to the known numerical value of Ω M and, hence, does not estimate λ and m g , the conjectural relationship m 2 g c 2 / 2 = 2Λ/3 (see Haranas & Gkigkitzis (2014) and Refs. therein) when a = a 0 may be rewritten with the help of (3.5) as 9Ω M = 4Ω Λ , whence in the case of the negligible spatial curvature (Ω M + Ω Λ = 1) one gets Ω M = 4/13 ≈ 0.31, in solid agreement with Ade et al (2014Ade et al ( , 2015.…”

The Universe as a Graviton Condensate: The “Dark-Bright Conjecture”

“…It is noteworthy that using maximum entropy in (4) with minimum uncertainty in (1) is physically consistent from this perspective of information. On the other hand, it is important to note that the area of the observable universe is composed of to the holographic principle [16].…”

Part 1: Possible Graviton Detection, for Outer Space Treatment of the Gertenshehtein Effect. <i> i.e.</i> Dyson’s Construction/Analysis Does Not Precludes Earth Bound Generation of Gravitons

“…Equation (5) graviton displace an electron from an atom, is zero. Which leads us to consider the relation given by Dyson, as his reference [1] has its own Equation (10), namely an upper bound to a minimum separation between two objects, say in a LIGO grid, is given by…”