dorsal/arxiv
View SchemaThe CP(N-1) Affine Gauge Theory in the Dynamical Space-time
| Authors | Peter Leifer |
|---|---|
| Categories | |
| ArXiv ID | physics/0605218 |
| URL | https://arxiv.org/abs/physics/0605218 |
| Journal | Found.Phys.Lett. 18, (2) 195 (2005) |
Abstract
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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"abstract": "An attempt to build quantum theory of field (extended) objects without a\npriori space-time geometry has been represented. Space-time coordinates are\nreplaced by the intrinsic coordinates in the tangent fibre bundle over complex\nprojective Hilbert state space $CP(N-1)$. The fate of a quantum system modeled\nby the generalized coherent states is rooted in this manifold. Dynamical\n(state-dependent) space-time arises only at the stage of the quantum \"yes/no\"\nmeasurement. The quantum measurement of the gauge ``field shell\u0027\u0027 of the\ngeneralized coherent state is described in terms of the affine parallel\ntransport of the local dynamical variables in $CP(N-1)$.",
"arxiv_id": "physics/0605218",
"authors": [
"Peter Leifer"
],
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"physics.gen-ph"
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"journal_ref": "Found.Phys.Lett. 18, (2) 195 (2005)",
"title": "The CP(N-1) Affine Gauge Theory in the Dynamical Space-time",
"url": "https://arxiv.org/abs/physics/0605218"
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