#### Document Type

Article

#### Publication Date

2013

#### Department

Department of Physics and Computer Science

#### Abstract

Wesson obtained a limit on quantum and gravitational mass in the universe by combining the cosmological constant Λ, Planck’s constant *h* , the speed of light *c*, and also the gravitational constant *G*. The corresponding masses are 2.0 x 10^{-62} and 2.3 x 10^{54} kg respectively, and in general can be obtained with the help of a generic dimensional analysis, or from an analysis where the cosmological constant appears in a four dimensional space-time and as a result of a higher dimensional reduction. In this paper our goal is to establish a relation for both quantum and gravitational mass as function of the information number bit *N*. For this reason, we first derive an expression for the cosmological constant as a function of information bit, since both masses depend on it, and then various resulting relations are explored, in relation to information number of bits *N*. Fractional information bits imply no information extraction is possible. We see, that the order of magnitude of the various parameters as well as their ratios involve the large number 10^{122} , that is produced naturally from the fundamental parameters of modern cosmology. Finally, we propose that in a complete quantum gravity theory the idea of information the might have to be included, with the quantum bits of information (*q*-bits) as one of its fundamental parameters, resulting thus to a more complete understanding of the universe, its laws, and its evolution.

#### Recommended Citation

Haranas, I., Gkigkitzis, I. The Number of Information Bits Related to the Minimum Quantum and Gravitational Masses in a Vacuum Dominated Universe. Astrophys. Space Sci. (2013) 346:213–218. DOI: 10.1007/s10509-013-1434-1

## Comments

This is a post-peer-review, pre-copyedit version of an article published in

Astrophysics and Space Science. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10509-013-1434-1.