Quantum Geometry of the Dynamical Space-time
نویسنده
چکیده
Quantum theory of field (extended) objects without a priori space-time geometry has been represented. Intrinsic coordinates in the tangent fibre bundle over complex projective Hilbert state space CP (N − 1) are used instead of space-time coordinates. The fate of quantum system modeled by the generalized coherent states is rooted in this manifold. Dynamical (state-dependent) space-time arises only at the stage of the quantum “yes/no” measurement. The quantum measurement of the gauge “field shell” of the generalized coherent state is described in terms of the affine parallel transport of the local dynamical variables in CP (N − 1). PACS numbers: 03.65.Ca, 03.65.Ta, 04.20.Cv
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