  We review our approach to quantum mechanics adding also some new interesting
results. We start by giving proof of two important theorems on the existence of
the and Clifford algebras. This last algebra gives proof of the von Neumann
basic postulates on the quantum measurement explaining thus in an algebraic
manner the wave function collapse postulated in standard quantum theory. In
this manner we reach the objective to expose a self-consistent version of
quantum mechanics. We give proof of the quantum like Heisenberg uncertainty
relations, the phenomenon of quantum Mach Zender interference as well as
quantum collapse in some cases of physical interest We also discuss the problem
of time evolution of quantum systems as well as the changes in space location.
We also give demonstration of the Kocken-Specher theorem, and also we give an
algebraic formulation and explanation of the EPR . By using the same approach
we also derive Bell inequalities. Our formulation is strongly based on the use
of idempotents that are contained in Clifford algebra. Their counterpart in
quantum mechanics is represented by the projection operators that are
interpreted as logical statements, following the basic von Neumann results.
Using the Clifford algebra we are able to invert such result. According to the
results previously obtained by Orlov in 1994, we are able to give proof that
quantum mechanics derives from logic. We show that indeterminism and quantum
interference have their origin in the logic.
