Since 1990's the detection of extremely energetic air showers
and precise astronomical measurements
have proved that our knowledge about fundamental laws of Nature
is far from being complete.
These observations have found convincing evidences
against two popular believes:
The spectrum of Cosmic Rays would have a steep cutoff
at energies around 1019eV (GZK cutoff)
and the contravortial quantity called Cosmological Constant (dark energy)
should be strictly zero.
They have been important additions to the yet unsolved mystery
of the nature of dark matter.
For both phenomena many models have been suggested.
The top-down model decay of a Superheavy Dark Matter(SDM),
also called WIMPZILLA
as the origin of the Ultra High Energy Cosmic Rays (UHECRs)
—
is one of the most favorite candidates. Here we show that a meaningful
constraints on the mass, lifetime and cosmological contribution of SDM is
possible only if the energy dissipation of the remnants is precisely taken into
account.
We discuss the simulation of relevant processes
and their evolution in the cosmological environment.
We show that such a dark matter can be the dominant component
of Cold Dark Matter (CDM) with a relatively short lifetime.
Moreover, the equation of State of the Universe in this model fits the
Supernova type Ia data better than a stable dark matter.
If a small fraction of the mass of the SDM
decays to an axion-like scalar field,
its condensation can also explain the dark energy
without need for extreme fine tuning of the parameters.
Presumably, a meta-stable dark matter can explain 3 mysteries of
Physics and Cosmology.
Finally we review some of the particle physics and
cosmological issues related to SDM and its associated quintessence field.