  We extend the descriptive power of the Cosmic Fabric model of space developed
by Tenev and Horstemeyer (2018) to include moving observers by demonstrating
that all reference frames are phenomenologically equivalent with one another
and transform between each other via the Lorentz transformations. Our approach
is similar to that of Lorentz (1892), which was used to explain the negative
outcome of the Michelson-Morley {\ae}ther detection experiment (Michelson and
Morley 1887), except that we deduce the notions of length contraction and time
dilation from the postulates of the Cosmic Fabric model. Our result is valid
for the continuum length scale at which, by definition, the cosmic fabric can
be described mathematically as a continuum. Herein, we also discuss the
length-scale dependent nature of the Cosmic Fabric model as a possible way to
relate gravitational and quantum theories.
