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The Issue of Time in Quantum Geometrodynamics
General Relativity and Quantum Cosmology · Submitted 13 Feb 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this approach quantum geometrodynamics, general covariance, and the interpretation of time emerge together as parts of the solution to the total problem of geometrodynamic evolution.
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Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to cause insurmountable difficulties in the description of time evolution. We forward a new quantization procedure on the superspace of true dynamic variables -- geometrodynamic quantization. This procedure takes into account the states that are ``off-shell'' with respect to the constraints and thus circumvents the notorious problems of time. In this approach quantum geometrodynamics, general covariance, and the interpretation of time emerge together as parts of the solution to the total problem of geometrodynamic evolution.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to cause insurmountable difficulties in the description of time evolution. | background 0.97 | 0.04 | 0.04 | asserted 1.00 |
| s1 | We forward a new quantization procedure on the superspace of true dynamic variables -- geometrodynamic quantization. | contribution 0.86 | 0.84 | 0.17 | asserted 0.96 |
| s2 | This procedure takes into account the states that are ``off-shell'' with respect to the constraints and thus circumvents the notorious problems of time. | method 0.80 | 0.70 | 0.38 | asserted 1.00 |
| s3 | In this approach quantum geometrodynamics, general covariance, and the interpretation of time emerge together as parts of the solution to the total problem of geometrodynamic evolution. | interpretation 0.93 | 0.69 | 0.67 | asserted 1.00 |
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Original abstract
Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to cause insurmountable difficulties in the description of time evolution. We forward a new quantization procedure on the superspace of true dynamic variables -- geometrodynamic quantization. This procedure takes into account the states that are ``off-shell'' with respect to the constraints and thus circumvents the notorious problems of time. In this approach quantum geometrodynamics, general covariance, and the interpretation of time emerge together as parts of the solution to the total problem of geometrodynamic evolution.
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The resulting theory, unlike the standard approach, takes into account the states that are off shell with respect to the constraints, and thus avoids the problems of time.
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