  The geometric form of standard quantum mechanics is compatible with the two
postulates: 1) The laws of physics are invariant under the choice of
experimental setup and 2) Every quantum observation or event is intrinsically
statistical. These postulates remain compatible within a background independent
extension of quantum theory with a local intrinsic time implying the relativity
of the concept of a quantum event. In this extension the space of quantum
events becomes dynamical and only individual quantum events make sense
observationally. At the core of such a general theory of quantum relativity is
the three-way interplay between the symplectic form, the dynamical metric and
non-integrable almost complex structure of the space of quantum events. Such a
formulation provides a missing conceptual ingredient in the search for a
background independent quantum theory of gravity and matter. The crucial new
technical element in our scheme derives from a set of recent mathematical
results on certain infinite dimensional almost Kahler manifolds which replace
the complex projective spaces of standard quantum mechanics.

High Energy Physics - Theory;General Relativity and Quantum Cosmology;Quantum Physics