Einstein, Planck and Vera Rubin: relevant encounters between the
  Cosmological and the Quantum Worlds
  In Cosmology and in Fundamental Physics there is a crucial question like:
where the elusive substance that we call Dark Matter is hidden in the Universe
and what is it made of?, that, even after 40 years from the Vera Rubin seminal
discovery does not have a proper answer. Actually, the more we have
investigated, the more this issue has become strongly entangled with aspects
that go beyond the established Quantum Physics, the Standard Model of
Elementary particles and the General Relativity and related to processes like
the Inflation, the accelerated expansion of the Universe and High Energy
Phenomena around compact objects. Even Quantum Gravity and very exotic DM
particle candidates may play a role in framing the Dark Matter mystery that
seems to be accomplice of new unknown Physics. Observations and experiments
have clearly indicated that the above phenomenon cannot be considered as
already theoretically framed, as hoped for decades. The Special Topic to which
this review belongs wants to penetrate this newly realized mystery from
different angles, including that of a contamination of different fields of
Physics apparently unrelated. We show with the works of this ST that this
contamination is able to guide us into the required new Physics. This review
wants to provide a good number of these "paths or contamination" beyond/among
the three worlds above; in most of the cases, the results presented here open a
direct link with the multi-scale dark matter phenomenon, enlightening some of
its important aspects. Also in the remaining cases, possible interesting
contacts emerges.
