  We study the hypothesis of deformation of the invariance of Lorentz
transformations produced by the introduction of a universal minimum velocity
relative to a preferred frame. Our goal with this job is to apply this
hypothesis to superfluids and study its consequences relating the minimum
velocity to the idea of a fluid, with superfluid properties. In previous works
we related the minimum velocity to the cosmological constant and even to cosmic
inflation. Soon we could generate a hypothetical superfluid capable of modeling
with characteristics of a cosmological fluid with dark energy properties. The
first excited state of this universal superfluid would be a preferred frame
from which all other excited states are observed and then we would have a
preferred frame $S_{V}$ associated with the critical Landau velocity, thus
implying that the universal minimum velocity coincides with the critical Landau
velocity, and the objects observed by the preferred frame are excited states of
the superfluid. This coincidence between the concepts of minimum velocity and
Landau's critical velocity makes Landau's critical velocity a type of limit
velocity, modifying the usual causal structure of restricted relativity.
Formulating the phenomena in this preferred frame would have the advantage of
providing a simple explanation for astrophysical and cosmological phenomena
linked to a causal structure, which emerges from this construction and is very
similar to causal structures linked to Gordon geometry and acoustic tachyons.
We build a deformed relativistic Lagrangian, demonstrate its relation with a
K-essence Lagrangian and calculate the quantities associated with that
Lagrangian. We also studied an irrotational fluid and verified the role of
enthalpy associated with the minimum velocity structure.
