Abstract
Wesson obtained a limit on quantum and gravitational mass in the universe by combining the cosmological constant Λ, Planck’s constant ħ, the speed of light c, and also the gravitational constant G. The corresponding masses are 2.0×10−62 kg and 2.3×1054 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 10122, 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.
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Acknowledgements
The authors would like to thank the editor in chief of Astrophysics and Space Science journal Dr. Michael Dopita, for encouraging us to resubmit a second revised version of our paper.
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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 346, 213–218 (2013). https://doi.org/10.1007/s10509-013-1434-1
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DOI: https://doi.org/10.1007/s10509-013-1434-1