dorsal/arxiv
View SchemaQuantum fluctuations of vacuum stress tensors and spacetime curvatures
| Authors | Marc-Thierry Jaekel, Serge Reynaud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101116 |
| URL | https://arxiv.org/abs/quant-ph/0101116 |
| DOI | 10.1002/andp.19955070108 |
| Journal | Annalen Phys. 4 (1995) 68-86 |
Abstract
We analyze the quantum fluctuations of vacuum stress tensors and spacetime curvatures, using the framework of linear response theory which connects these fluctuations to dissipation mechanisms arising when stress tensors and spacetime metric are coupled. Vacuum fluctuations of spacetime curvatures are shown to be a sum of two contributions at lowest orders; the first one corresponds to vacuum gravitational waves and is restricted to light-like wavevectors and vanishing Einstein curvature, while the second one arises from gravity of vacuum stress tensors. From these fluctuations, we deduce noise spectra for geodesic deviations registered by probe fields which determine ultimate limits in length or time measurements. In particular, a relation between noise spectra characterizing spacetime fluctuations and the number of massless neutrino fields is obtained.
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"abstract": "We analyze the quantum fluctuations of vacuum stress tensors and spacetime\ncurvatures, using the framework of linear response theory which connects these\nfluctuations to dissipation mechanisms arising when stress tensors and\nspacetime metric are coupled. Vacuum fluctuations of spacetime curvatures are\nshown to be a sum of two contributions at lowest orders; the first one\ncorresponds to vacuum gravitational waves and is restricted to light-like\nwavevectors and vanishing Einstein curvature, while the second one arises from\ngravity of vacuum stress tensors. From these fluctuations, we deduce noise\nspectra for geodesic deviations registered by probe fields which determine\nultimate limits in length or time measurements. In particular, a relation\nbetween noise spectra characterizing spacetime fluctuations and the number of\nmassless neutrino fields is obtained.",
"arxiv_id": "quant-ph/0101116",
"authors": [
"Marc-Thierry Jaekel",
"Serge Reynaud"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1002/andp.19955070108",
"journal_ref": "Annalen Phys. 4 (1995) 68-86",
"title": "Quantum fluctuations of vacuum stress tensors and spacetime curvatures",
"url": "https://arxiv.org/abs/quant-ph/0101116"
},
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