Emergence of special and doubly special relativity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00194459" target="_blank" >RIV/68407700:21340/12:00194459 - isvavai.cz</a>
Result on the web
<a href="http://prd.aps.org/abstract/PRD/v86/i2/e025029" target="_blank" >http://prd.aps.org/abstract/PRD/v86/i2/e025029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.86.025029" target="_blank" >10.1103/PhysRevD.86.025029</a>
Alternative languages
Result language
angličtina
Original language name
Emergence of special and doubly special relativity
Original language description
Building on our previous work [Phys. Rev. D 82, 085016 (2010)], we show in this paper how a Brownian motion on a short scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. This can be described in termsof polycrystalline vacuum. Viewed in this way, special relativity is 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. By analyzing the robustness of such a special relativity under small variations in the polycrystalline grain-size distribution we naturally arrive at the notion of doubly-special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of thetwo frameworks is brought to light. Salient issues such as the role of gauge fixing in emergent relativity, generalized commutation relations, Hausdorff dimensions of representative path-integral trajectories and a connection with Feynman
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GCP402%2F12%2FJ077" target="_blank" >GCP402/12/J077: Application of generalized statistics in critical phenomena and financial markets</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
1550-7998
e-ISSN
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Volume of the periodical
86
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
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UT code for WoS article
000306650500014
EID of the result in the Scopus database
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