  We show that some primary special relativity effects, which are believed to
be hardly detectable in everyday life, such as time dilation, relativistic
Doppler effect, and length contraction, should tangibly and spectacularly show
up here on the Earth. They should occur in ordinary observations of known
astronomical phenomena, also when these phenomena involve astronomical systems
that move with very low velocities relative to us but are very distant. We
shall do that by providing a reanalysis of the so-called Andromeda paradox and
by revisiting the standard explanation of the muon lifetime dilation given when
this phenomenon is observed from muon's perspective. Ultimately, we shall show
that if Lorentz transformations (and basically, special relativity) are meant
to entail real physical consequences, then the observable Universe should
appear very differently from what we see every clear night.
