dorsal/arxiv
View SchemaQuantum Observables associated with Einstein Localisation
| Authors | Marc-Thierry Jaekel, Serge Reynaud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810027 |
| URL | https://arxiv.org/abs/quant-ph/9810027 |
| Journal | Frontier Tests of QED and Physics of the Vacuum, Eds. E.Zavattini, D.Bakalov and C.Rizzo, Heron Press, Sofia (1998) 389-404 |
Abstract
The description of relativistic effects requires a preliminary definition of events localised in space-time while the clocks used for time definition and the fields used in synchronisation or localisation procedures are necessarily quantum systems. We outline an algebraic framework where basic requirements of quantum theory and relativity are consistently dealt with. This approach which may be termed as a `quantum relativity' is built on the algebra of symmetries. It contains the definition of quantum observables associated with Einstein localisation in space-time as well as the evaluation of their commutation relations including the energy-time relation. These commutators also describe the relativistic shifts undergone under frame transformations, not only for inertial frames but also for uniformly accelerated frames. The quantum redshift laws differ from their classical counterparts while still obeying universal metric properties. The paper presents this approach in terms closely connected to the seminal Einstein conception of localisation in space-time and refers to already published papers for more technical developments.
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"abstract": "The description of relativistic effects requires a preliminary definition of\nevents localised in space-time while the clocks used for time definition and\nthe fields used in synchronisation or localisation procedures are necessarily\nquantum systems.\n We outline an algebraic framework where basic requirements of quantum theory\nand relativity are consistently dealt with. This approach which may be termed\nas a `quantum relativity\u0027 is built on the algebra of symmetries. It contains\nthe definition of quantum observables associated with Einstein localisation in\nspace-time as well as the evaluation of their commutation relations including\nthe energy-time relation. These commutators also describe the relativistic\nshifts undergone under frame transformations, not only for inertial frames but\nalso for uniformly accelerated frames. The quantum redshift laws differ from\ntheir classical counterparts while still obeying universal metric properties.\n The paper presents this approach in terms closely connected to the seminal\nEinstein conception of localisation in space-time and refers to already\npublished papers for more technical developments.",
"arxiv_id": "quant-ph/9810027",
"authors": [
"Marc-Thierry Jaekel",
"Serge Reynaud"
],
"categories": [
"quant-ph",
"gr-qc"
],
"journal_ref": "Frontier Tests of QED and Physics of the Vacuum, Eds. E.Zavattini,\n D.Bakalov and C.Rizzo, Heron Press, Sofia (1998) 389-404",
"title": "Quantum Observables associated with Einstein Localisation",
"url": "https://arxiv.org/abs/quant-ph/9810027"
},
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