I've just finished paper in which I try to convince that quantum
mechanics does not have to lead to indeterminism, but is just a
natural consequence of four-dimensional nature of our world - that for
example particles shouldn't be imagined as 'moving points' in space,
but as their trajectories in the spacetime like in optimizing action
formulation of Lagrangian mechanics.
http://arxiv.org/abs/0910.2724There will be analyzed simplified model - Boltzmann distribution among
trajectories occurs to give quantum mechanic like behavior - for
example electron moving in proton's potential would make some concrete
trajectory which average exactly to the probability distribution of
the quantum mechanical ground state. We will use this model to build
intuition about quantum mechanics and discuss its generalizations to
get some effective approximation of physics. We will see that
topological excitations of the simplest model obtained this way
already creates known from physics particle structure, their decay
modes and electromagnetic/gravitational interactions between them.
What do You think about it?