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Description
| - Using the concept known as a superstatistics path integral we show that a Wiener process on a short spatial scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. 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. Here we place a special emphasis on the modifications that are necessary to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of the two frameworks is revealed. Salient issues such as generalized commutation relations and a connection with Feynman chessboard model are also discussed.
- Using the concept known as a superstatistics path integral we show that a Wiener process on a short spatial scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. 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. Here we place a special emphasis on the modifications that are necessary to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of the two frameworks is revealed. Salient issues such as generalized commutation relations and a connection with Feynman chessboard model are also discussed. (en)
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Title
| - SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY
- SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY (en)
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skos:prefLabel
| - SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY
- SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY (en)
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skos:notation
| - RIV/68407700:21340/12:00193132!RIV13-MSM-21340___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21340/12:00193132
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Superstatistics; path integrals; doubly special relativity (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - SG - Singapurská republika
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - International Journal of Modern Physics B
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Jizba, Petr
- Scardigli, F.
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1142/S0217979212410032
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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