  In this work, it has been indicated that the key features requisite for
preserving causality and stability of the popularly existing relativistic
hydrodynamic theories, can be translated into each other. It has been shown
here, that a generic `fluid frame transformation' including all orders of
gradient corrections can recast a stable-causal hydrodynamic theory that (i)
only includes fundamental fluid variables (velocity and temperature) but
requires to be in a general hydrodynamic frame other than the Landau or Eckart,
to a theory that is (ii) pathology free in Landau frame but needs newer degrees
of freedom. Since frame choice provides the first principle field definitions
and degrees of freedom indicate the number of conserved quantities, the
causality and stability of a theory seem to require a consensus between the two
unless the derivative correction goes to infinity. The key finding of this work
is to indicate a connection between these different formalisms, that lead to a
causal and stable hydrodynamic theory.
