About: Space-Time Grains: Roots of Special and Doubly Special Relativity

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://download.springer.com/static/pdf/595/art%253A10.1007%252Fs10701-013-9758-9.pdf?auth66=1417776879_ef3d6129a389e86a55e826e9bd976c80&ext=.pdf
Description	We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be therefore held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed. We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be therefore held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed. (en)
Title	Space-Time Grains: Roots of Special and Doubly Special Relativity Space-Time Grains: Roots of Special and Doubly Special Relativity (en)
skos:prefLabel	Space-Time Grains: Roots of Special and Doubly Special Relativity Space-Time Grains: Roots of Special and Doubly Special Relativity (en)
skos:notation	RIV/68407700:21340/14:00222302!RIV15-GA0-21340___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA14-07983S), P(GCP402/12/J077)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2015
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	46306
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00222302
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Relativistic dynamics; Superstatistics; Path integrals; Doubly special relativity (en)
http://linked.open.../riv/klicoveSlovo	Superstatistics Doubly special relativity Path integrals Relativistic dynamics
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[4784E0F7652E]
http://linked.open...i/riv/nazevZdroje	FOUNDATIONS OF PHYSICS
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 Struktura vakua v kvantově polních teoriích
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	44
http://linked.open...iv/tvurceVysledku	Jizba, Petr Scardigli, F.
http://linked.open...ain/vavai/riv/wos	000336411200008
issn	0015-9018
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10701-013-9758-9
http://localhost/t...ganizacniJednotka	21340

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