  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.
