Quantum mechanics and local Lorentz symmetry violation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00196453" target="_blank" >RIV/68407700:21340/12:00196453 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/361/1/012026" target="_blank" >http://dx.doi.org/10.1088/1742-6596/361/1/012026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/361/1/012026" target="_blank" >10.1088/1742-6596/361/1/012026</a>

Result language
angličtina
Original language name
Quantum mechanics and local Lorentz symmetry violation
Original language description
We show how a Brownian motion on a short scale can originate a relativistic motion on scales larger than the particle's Compton wavelength. Thus, Lorentz symmetry appears to be not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength, is taken. We also present the generalizations needed to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common stochastic origin of the two frameworks is revealed for the first time. Issues such as generalized commutation relations are also discussed.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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