The Number of Information Bits Related to the Minimum Quantum and Gravitational Masses in a Vacuum Dominated Universe

TL;DR

This paper explores the relationship between quantum and gravitational masses and the information content of the universe, proposing that quantum bits of information are fundamental to understanding cosmological parameters.

Contribution

It derives a novel relation linking quantum and gravitational masses to the information number of bits, integrating information theory into cosmological mass limits.

Findings

Mass bounds depend on the information bit number N.

The cosmological constant is expressed as a function of information bits.

Large number 10^122 naturally emerges from fundamental cosmological parameters.

Abstract

Wesson obtained a limit on quantum and gravitational mass in the universe by combining the cosmological constant Lambda, Planck constant, the speed of light c, and also the gravitational constant G. The corresponding masses are 2.0x10E-62 kg and 2.3E+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 10E+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.