  Einstein's program of the unified field theory transformed nowadays to the
TOE requiring new primordial elements and relations between them. Definitely,
they must be elements of the quantum nature. One of most fundamental quantum
elements are pure quantum states. Their basic relations are defined by the
geometry of the complex projective Hilbert space. In the framework of such
geometry all physical concepts should be formulated and derived in the natural
way. Analysis following this logic shows that inertia and inertial forces are
originated not in space-time but it the space of quantum states since they are
generated by the deformation of quantum states as a reaction on an external
interaction or self-interaction. In particular, inertia law generalized by
Einstein during development of general relativity (GR) will be expressed in
intrinsic quantum terms. It is assumed that quantum formulation of the inertia
law should clarify the old problem of inertial mass (dynamical mass
generation). The conservation of energy-momentum following form this law has
been applied to self-interacting quantum Dirac's electron.
