The CP(N-1) Affine Gauge Theory in the Dynamical Space-time

Details The CP(N-1) Affine Gauge Theory in the Dynamical Space-time The CP(N-1) Affine Gauge Theory in the Dynamical Space-time

2006-05-25

arxiv.org/abs/physics/0605218v1

Physics

General Physics

22 pages, LaTeX

Scientific paper

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 a 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 $CP(N-1)$.

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