Axion Quark Nuggets. Dark Matter and Matter-Antimatter asymmetry:
  theory, observations and future experiments
  We review a testable, the axion quark nugget (AQN) model outside of the
standard WIMP paradigm. The model was originally invented to explain the
observed similarity between the dark and the visible components, $\Omega_{\rm
DM}\approx \Omega_{\rm visible}$ in a natural way as both types of matter are
formed during the same QCD transition and proportional to the same dimensional
fundamental parameter of the system, $\Lambda_{\rm QCD}$. In this framework the
baryogenesis is actually a charge segregation (rather than charge generation)
process which is operational due to the $\cal{CP}$-odd axion field,while the
global baryon number of the Universe remains zero. The nuggets and anti-nuggets
are strongly interacting but macroscopically large objects with approximately
nuclear density. We overview several specific recent applications of this
framework. First, we discuss the "solar corona mystery" when the so-called
nanoflares are identified with the AQN annihilation events in corona. Secondly,
we review a proposal that the recently observed by the Telescope Array puzzling
events is a result of the annihilation events of the AQNs under thunderstorm.
Finally, we overview a broadband strategy which could lead to the discovery the
AQN-induced axions representing the heart of the construction.
