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Quantum corrected geodesics
General Relativity and Quantum Cosmology · Submitted 20 Apr 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In both cases we show that the quantum corrected trajectory is not a geodesic of the background metric.
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The abstract, sentence by sentence
We compute the graviton-induced corrections to the trajectory of a classical test particle. We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state) of the classical action. We analyze the quantum corrected equations of motion for the test particle in two particular backgrounds: a Robertson Walker spacetime and a 2+1 dimensional spacetime with rotational symmetry. In both cases we show that the quantum corrected trajectory is not a geodesic of the background metric.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the graviton-induced corrections to the trajectory of a classical test particle. | contribution 1.00 | 0.96 | 0.09 | asserted 0.99 |
| s1 | We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state) of the classical action. | result 0.55 | 0.94 | 0.18 | asserted 1.00 |
| s2 | We analyze the quantum corrected equations of motion for the test particle in two particular backgrounds: a Robertson Walker spacetime and a 2+1 dimensional spacetime with rotational symmetry. | contribution 0.61 | 0.95 | 0.07 | asserted 0.90 |
| s3 | In both cases we show that the quantum corrected trajectory is not a geodesic of the background metric. | result 1.00 | 0.95 | 0.75 | asserted 1.00 |
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Original abstract
We compute the graviton-induced corrections to the trajectory of a classical test particle. We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state) of the classical action. We analyze the quantum corrected equations of motion for the test particle in two particular backgrounds: a Robertson Walker spacetime and a 2+1 dimensional spacetime with rotational symmetry. In both cases we show that the quantum corrected trajectory is not a geodesic of the background metric.
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In order to study this phenomenon, many different approaches have been proposed [ref] .
Spacetime geometry fluctuations and geodesic deviation · Introduction · 0.94
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