  A new type of gauge quantum theory (superrelativity) has been proposed. This
differs from ordinary gauge theories in sense that the affine connection of our
theory is constructed from first derivatives of the Fubini-Study metric tensor.
That is we have not merely analogy with general relativity but this
construction should presumably provide a unification of general relativity and
quantum theory. Here we shall discuss the physical meaning of metric properties
of the projective Hilbert space and manifestation of its nontrivial physical
character.
