  A new hidden variable theory is proposed, according to which particles
follows definite trajectories, as in Bohmian Mechanics or Nelson's stochastic
mechanics; in the new theory, however, the trajectories are classical, i.e.
Newtonian. This result is obtained by developing the following concepts: (i)
the essential elements of a hidden variable theory are a set of trajectories
and a measure defined on it; the Newtonian HCT will be defined by giving these
two elements. (ii) The universal wave function has a tree structure, whose
branches are generated by the measurement processes and are spatially
disjoined. (iii) The branches have a classical structure, i.e. classical paths
go along them; this property derives from the fact that the paths close to the
classical ones give the main contribution to the Feynman propagator. (iv)
Classical trajectories can give rise to quantum phenomena, like for instance
the interference phenomena of the two-slit experiment, by violating the so
called Independence Assumption, which is always implicitely made in the
conceptual analysis of these phenomena.
