. ge n - ph ] 2 5 M ay 2 00 6 The CP ( N - 1 ) Affine Gauge Theory in the Dynamical Space - time
نویسنده
چکیده
An attempt to build quantum theory of field (extended) objects without a priori space-time geometry has been represented. Space-time coordinates are replaced by the intrinsic coordinates in the tangent fibre bundle over complex projective Hilbert state space CP (N − 1). The fate of quantum system mod-eled 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).
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