  We consider further consequences of recently [1] revealed role of
cosmological constant \Lambda as of a physical constant, along with the
gravitational one to define the gravity i.e. the General Relativity and its
low-energy limit. We now show how \Lambda-constant affects the basic relations
involving the Planck units and leads to emergence of a new dimensionless
quantity (constant) which can be given cosmological information content. Within
Conformal Cyclic Cosmology this approach implies the possibility of rescaling
of physical constants from one aeon to another; the rescaling has to satisfy a
condition involving \Lambda and admitting group symmetry. The emerged
dimensionless information constant enables to reduce the dynamics of the
universe to an algorithm of discrete steps of information increase.
