^{1}

^{2}

^{1}

^{2}

We investigate the relation of the mass of the graviton to the number of information

In Einstein’s theory of general relativity, linearization of the field equations demonstrates that small perturbations of the metric obey a wave equation [

Moreover, several of today’s theories like string theory, superstring theory, M-theory and loop quantum gravity, and quantum field theory predict the existence of graviton particles. In quantum field theory graviton is the elementary particle that mediates the gravitational force and is expected to be massless, and that is because the gravitational force itself has an infinite range. Furthermore, graviton must be a spin-2 boson, which results from the fact that the source of gravitation is the stress-energy tensor itself. Additionally, it can be shown that any massless spin-2 field could give rise to a force that is indistinguishable from gravitation because a massless spin-2 field must couple to the stress-energy tensor in the same way that the gravitational field does [

There are only a few conceivable sources of graviton production, like black hole decay, spontaneous emission of gravitons from neutral hydrogen, bremsstrahlung from electron-electron collisions in stellar interiors, and conservations of photons to gravitons by interstellar magnetic fields. Here we will only briefly touch upon the graviton production by black hole decay, which appears to be the most promising mechanism. Black holes of mass

Recently, Finn and Sutton [^{−20} eV/c^{2}. This is comparable to the best limit from solar system observations, ^{2}. Finn and Sutton [

In recent papers by Novello and Neves [

Similarly, in Haranas and Gkigkitzis [

In a recent paper by Das (2014) the author uses the quantum Raychaudhuri equation to obtain the quantum corrected Friedmann equation for the range of graviton/photon. Similarly, with reference to Wesson [

The holographic principle indicates a possible nonlocality mechanism in any vacuum-dominated Friedmann universe. To be more precise, a holographic nonlocal quantum mechanical description can be possible for a finite amount of information in a closed vacuum-dominated universe. Today’s theories assume that the universe began by a quantum fluctuation from nothing, underwent inflation, and became so large that it is locally almost flat and that since the inflationary era the vacuum energy density of the universe is constant. This is the case of the existence of a nonzero cosmological constant

In relation to the laws of physics we say that they determine the amount of information that a given system can register (i.e., number of bits or nats) as well as the number of elementary logic operations that the given system can perform (i.e., number of operations). With reference to Landauer [

In their experiment the authors have shown that entanglement can produce an increase or gain of thermodynamic work, where the gain is determined by the change of the information content. Similarly, Bérut et al. [

Next, with reference to Alfonso-Faus and Fullana i Alfonso [

In Alfonso-Faus and Fullana i Alfonso [

In order to investigate a possible relation of the graviton mass to time

In this paper we have considered an expression for the mass of the graviton as it is given by Novello [

In an effort to establish a relation of the mass of graviton to basic parameters of the universe, wefind that the mass of the graviton is simply twice the Hubble mass ^{122}, a number in agreement with that given in Funkhouser [

In this paper we investigate the relation of the graviton mass to the number of information

The authors declare that there is no conflict of interests regarding the publication of this paper.

_{tot}in the universe