  We provide the construction of a de Broglie-Bohm model of the $N$-body system
within the framework of Pure Shape Dynamics. The equation of state of the curve
in shape space is worked out, with the instantaneous shape being guided by a
wave function. In order to get a better understanding of the dynamical system,
we also give some numerical analysis of the 3-body case. Remarkably enough, our
simulations typically show the attractor-driven behaviour of complexity, well
known in the classical case, thereby providing further evidence for the claim
that the arrow of complexity is the ultimate cause of the experienced arrow of
time.
