  It is theoretically revealed that, in classical physics of spacetimes with
wormholes, there are analogs of wave function reduction events, quantum
entanglement and Einstein-Podolsky-Rosen (EPR) experiment. Within the suggested
approach, wormholes are specified by a typical microscopic radius of their
mouths, and this causes the size effect in operation of wormhole-based time
machines (closed timelike curves; CTCs). For geometric reasons, classical solid
balls in a spacetime with a wormhole are divided into the two categories: small
and large balls whose traverse through wormholes is permitted and forbidden,
respectively. Evolutions of small balls on CTCs can be self-inconsistent (or,
in other terms, inconsistent with conventional causality), in which case there
is an uncertainty in their behaviors. In contrast, evolutions of large solid
balls are always unambiguous. In the situation where small balls can be
absorbed by large balls, uncertain behaviors of small balls transform into
unambiguous evolutions of large balls in the logical way analogous to that of a
quantum measurement - wave function reduction - event. Also, within the
suggested approach operating with classical balls in spacetimes with wormholes,
analogs of quantum entanglement and EPR experiment are defined and
theoretically described.
