Quantum tetrahedron and its classical limit

Details Quantum tetrahedron and its classical limit Quantum tetrahedron and its classical limit

2008-08-19

arxiv.org/abs/0808.2533v2

Class.Quant.Grav.26:035010,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Discussion of the tetraheron refinment is rewritten. Statistical analysis and asymptotics discussions are expanded

Scientific paper

10.1088/0264-9381/26/3/035010

We present an asymptotically optimal generalized measurement for the Classical information that is retrieved from a quantum tetrahedron is intrinsically fuzzy. We present an asymptotically optimal generalized measurement for the extraction of classical information from a quantum tetrahedron. For a single tetrahedron the optimal uncertainty in dihedral angles is shown to scale as an inverse of the surface area. Having commutative observables allows to show how the clustering of many small tetrahedra leads to a faster convergence to a classical geometry.

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