  The magnetism of double perovskites is a complex phenomenon, determined from
intra- or interatomic magnetic moment interactions, and strongly influenced by
geometry. We take advantage of the complementary length and time scales of the
muon spin rotation, relaxation and resonance ($\mu^+$SR) microscopic technique
and bulk AC/DC magnetic susceptibility measurements to study the magnetic
phases of the LaCaNiReO$_6$ double perovskite. As a result we are able to
discern and report a newly found dynamic phase transition and the formation of
magnetic domains below and above the known magnetic transition of this compound
at T$_N$ = 103 K. $\mu^+$SR, serving as a local probe at crystallographic
interstitial sites, reveals a transition from a metastable ferrimagnetic
ordering below T = 103 K to a stable one below T = 30 K. The fast and slow
collective dynamic state of this system are investigated. Between 103 K < T <
230 K, the following two magnetic environments appear, a dense spin region and
a static-dilute spin region. The paramagnetic state is obtained only above T >
270 K. An evolution of the interaction between Ni and Re magnetic sublattices
in this geometrically frustrated fcc perovskite structure, is revealed as a
function of temperature and magnetic field, through the critical behaviour and
thermal evolution of microscopic and macroscopic physical quantities.
