English

Quantum Geometry of the Dynamical Space-time

General Physics 2007-05-23 v2

Abstract

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(N1)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(N1)CP(N-1).

Keywords

Cite

@article{arxiv.physics/0611179,
  title  = {Quantum Geometry of the Dynamical Space-time},
  author = {Peter Leifer},
  journal= {arXiv preprint arXiv:physics/0611179},
  year   = {2007}
}

Comments

23 pages, LaTeX, minor textual imrovements