dorsal/arxiv
View SchemaVariance of the Quantum Coordinates of an Event
| Authors | M. Toller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807059 |
| URL | https://arxiv.org/abs/quant-ph/9807059 |
| Journal | Int.J.Theor.Phys. 38 (1999) 2015-2028 |
Abstract
We study the variances of the coordinates of an event considered as quantum observables in a Poincare' covariant theory. The starting point is their description in terms of a covariant positive-operator-valued measure on the Minkowski space-time. Besides the usual uncertainty relations, we find stronger inequalities involving the mass and the centre-of-mass angular momentum of the object that defines the event. We suggest that these inequalities may help to clarify some of the arguments which have been given in favour of a gravitational quantum limit to the accuracy of time and space measurements.
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"abstract": "We study the variances of the coordinates of an event considered as quantum\nobservables in a Poincare\u0027 covariant theory. The starting point is their\ndescription in terms of a covariant positive-operator-valued measure on the\n Minkowski space-time. Besides the usual uncertainty relations, we find\nstronger inequalities involving the mass and the centre-of-mass angular\nmomentum of the object that defines the event. We suggest that these\ninequalities may help to clarify some of the arguments which have been given in\nfavour of a gravitational quantum limit to the accuracy of time and space\nmeasurements.",
"arxiv_id": "quant-ph/9807059",
"authors": [
"M. Toller"
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"quant-ph",
"astro-ph",
"gr-qc"
],
"journal_ref": "Int.J.Theor.Phys. 38 (1999) 2015-2028",
"title": "Variance of the Quantum Coordinates of an Event",
"url": "https://arxiv.org/abs/quant-ph/9807059"
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