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Classical Geometry from a Physical State in Canonical Quantum Gravity

Yongge Ma·Yi Ling
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Abstract

We construct a weave state which approximates a degenerate 3-metric of rank 2 at large scales. It turns out that a non-degenerate metric region can be evolved from this degenerate metric by the classical Ashtekar equations, hence the degeneracy of 3-metrics is not preserved by the evolution of Ashtekar's equations. As the s-knot state corresponding to this weave is shown to solve all the quantum constraints in loop quantum gravity, a physical state in canonical quantum gravity is related to the familiar classical geometry.

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BibTeXRIS

Yongge Ma, Yi Ling. 2000-09-04. Classical Geometry from a Physical State in Canonical Quantum Gravity. https://doi.org/10.1103/physrevd.62.064030

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