  In this paper we will analyze the the status of gauge freedom in quantum
mechanics (QM) and quantum field theory (QFT). Along with this analysis
comparison with ordinary QFT will be given. We will show how the gauge freedom
problem is connected with the spacetime coordinates status - the very point at
which the difficulties of QM begin. A natural solution of the above mentioned
problem will be proposed in which we give a slightly more general form of QM
and QFT (in comparison to the ordinary QFT) with noncommutative structure of
spacetime playing fundamental role in it. We achieve it by reinterpretation of
the Bohr's complementarity principle on the one hand and by incorporation of
our gauge freedom analysis on the other. We will present a generalization of
the Bargmann's theory of exponents of ray representations. It will be given an
example involving time dependent gauge freedom describing non-relativistic
quantum particle in nonrelativistic gravitational field. In this example we
infer the most general Schroedinger equation and prove equality of the
(passive) inertial and the gravitational masses of quantum particle.
