  We aim to search for a connection between an invariant minimum speed that
breaks down the Lorentz symmetry and the Gravitational Bose Einstein Condensate
(GBEC), which is the central core of a star of gravitating vacuum
(Gravastar/Dark Energy Star) by introducing a cosmological constant into
compact objects. This model was designed to circumvent the embarrassment
generated by the paradoxes of a singularity as the final stage of a
gravitational collapse, by introducing in place of the singularity of event
horizon a spatial-temporal phase transition, a concept with which the causal
structure of Symmetrical Special Relativity (SSR) helps us to elucidate by
providing a quantum interpretation for GBEC and explaining the origin of
anisotropy, which has been introduced in ad-hoc way before in the literature.
