Quantum mechanics as a result of time broadening of the classical object
  It is shown that the Schrodinger equation is a byproduct of more deterministic Boltzmann-like equation. All physical information is derived from the solution of this equation, which is a function of space and momentum. The additional terms in this equation, when compared with the classical Boltzmann equation, asserts that the particle should be broadened over the time axis, i.e., it is partly present at the past, the present, and the future. The solution of this equation itself is nonlocal. This solution requires an especial time coordinate that is different from the usual time parameter entering into the formalism of quantum mechanics. This time coordinate is hidden in the structure of wave function. It is substantiated that the mixed state is a natural result of time broadening. Furthermore, the interaction between an object that is broadened in time and an observer that has a very narrow time-width leads to the collapse of wave function. 
A. M. Ghorbanzadeh