  The Scalar Field Dark Matter model has been known in various ways throughout
its history; Fuzzy, BEC, Wave, Ultralight, Axion-like Dark Matter, etc. All of
them consist in proposing that the dark matter of the universe is a spinless
field $\Phi$ that follows the Klein-Gordon (KG) equation of motion
$\Box\Phi-dV/d\Phi=0$, for a given scalar field potential $V$. The difference
between different models is sometimes the choice of the scalar field potential
$V$. In the literature we find that people usually work in the nonrelativistic,
weak-field limit of the KG equation where it transforms into the Schr\"odinger
equation and the Einstein equations into the Poisson equation, reducing the
KG-Einstein system, to the Schr\"odinger-Poisson system. In this paper, we
review some of the most interesting achievements of this model from the
historical point of view and its comparison with observations, showing that
this model could be the last answer to the question about the nature of dark
matter in the universe.
