Special relativity induced by granular space

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00208113" target="_blank" >RIV/68407700:21340/13:00208113 - isvavai.cz</a>

Result on the web

<a href="http://download.springer.com/static/pdf/651/art%253A10.1140%252Fepjc%252Fs10052-013-2491-x.pdf?auth66=1381673592_6ab9326eb8c736c3a0bfa0fc971031e4&ext=.pdf" target="_blank" >http://download.springer.com/static/pdf/651/art%253A10.1140%252Fepjc%252Fs10052-013-2491-x.pdf?auth66=1381673592_6ab9326eb8c736c3a0bfa0fc971031e4&ext=.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-013-2491-x" target="_blank" >10.1140/epjc/s10052-013-2491-x</a>

Result language

angličtina

Original language name

Special relativity induced by granular space

Original language 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 framework leads to Feynman amplitudes that are, in the Euclidean regime, identical to the transition probability of a Brownian particle propagating through a granular space. For illustration we consider the dynamics and the propagator of a Klein-Gordonparticle. Implications for deformed special relativity, quantum field theory, quantum gravity and cosmology are also discussed.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BN - Astronomy and celestial mechanics, astrophysics

OECD FORD branch

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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)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Physical Journal C

ISSN

1434-6044

e-ISSN

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Volume of the periodical

73

Issue of the periodical within the volume

7

Country of publishing house

DE - GERMANY

Number of pages

6

Pages from-to

1-6

UT code for WoS article

000322575300016

EID of the result in the Scopus database

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