  In this paper we present a framework in which the relational description of
General Relativity can be used to smoothly continue cosmological dynamical
systems through the Big Bang without invoking quantum gravity effects.
Cosmological spacetimes contain as a key dynamical variable a notion of scale
through the volume factor $\nu$. However no cosmological observer is ever able
to separate their measuring apparatus from the system they are measuring, in
that sense every measurement is a relative one and measurable dynamical
variables are in fact dimensionless ratios. This is manifest in the
identification of a scaling symmetry or ``Dynamical Similarity" in the
Einstein-Hilbert action associated with the volume factor. By quotienting out
this scaling symmetry, we form a relational system defined on a contact
manifold whose dynamical variables are decoupled from scale. When the phase
space is reduced to shape space, we show that there exist unique solutions to
the equations of motion that pass smoothly through the initial cosmological
singularity in flat FLRW, Bianchi I and Quiescent Bianchi IX cosmologies.
