About: Emergence of special and doubly special relativity

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://prd.aps.org/abstract/PRD/v86/i2/e025029
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 terms of 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 the two 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 chessboard model are also discussed. 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 terms of 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 the two 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 chessboard model are also discussed. (en)
Title	Emergence of special and doubly special relativity Emergence of special and doubly special relativity (en)
skos:prefLabel	Emergence of special and doubly special relativity Emergence of special and doubly special relativity (en)
skos:notation	RIV/68407700:21340/12:00194459!RIV13-GA0-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GCP402/12/J077), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Jizba, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	134169
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00194459
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	QUANTUM-MECHANICS; LORENTZ SYMMETRY; GRAVITY; PARTICLE; KINEMATICS; AMPLITUDES; VIOLATION; SPACETIME; SYSTEMS; FIELD (en)
http://linked.open.../riv/klicoveSlovo	SYSTEMS FIELD QUANTUM-MECHANICS GRAVITY AMPLITUDES KINEMATICS LORENTZ SYMMETRY PARTICLE SPACETIME VIOLATION
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[34F29DF10094]
http://linked.open...i/riv/nazevZdroje	Physical Review D
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Application of generalized statistics in critical phenomena and financial markets
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	86
http://linked.open...iv/tvurceVysledku	Jizba, Petr Scardigli, F.
http://linked.open...ain/vavai/riv/wos	000306650500014
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1550-7998
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.86.025029
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Emergence of special and doubly special relativity

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