Here it is shown that the unitary dynamics of a quantum object may be
obtained as the conditional expectation of a counting process of object-clock
interactions. Such a stochastic process arises from the quantization of the
clock, and this is derived naturally from the matrix-algebra representation of
the nilpotent Newton-Leibniz time differential [Belavkin]. It is observed that
this condition expectation is a rigorous formulation of the Feynman Path
Integral.Comment: 21 page