  Recently, a geometric embedding of the classical space and classical phase
space of an n-particle system into the space of states of the system was
constructed and shown to be physically meaningful. Namely, the Newtonian
dynamics of the particles was recovered from the Schroedinger dynamics by
constraining the state of the system to the classical phase space submanifold
of the space of states. A series of theorems related to the embedding and the
Schroedinger evolution with a random Hamiltonian was proven and shown to be
applicable to the process of measurement in classical and quantum mechanics.
Here, these results are applied to have a fresh look at the main
quantum-mechanical thought experiments and paradoxes and to provide a new
insight into the process of collapse and the motion of macroscopic bodies in
quantum mechanics.
