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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)
Title
  • SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY
  • SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY (en)
skos:prefLabel
  • SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY
  • SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY (en)
skos:notation
  • RIV/68407700:21340/12:00193132!RIV13-MSM-21340___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 172471
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/12:00193132
http://linked.open...riv/jazykVysledku
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  • Superstatistics; path integrals; doubly special relativity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [7246079AF2DE]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Modern Physics B
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 26
http://linked.open...iv/tvurceVysledku
  • Jizba, Petr
  • Scardigli, F.
http://linked.open...ain/vavai/riv/wos
  • 000303244000003
http://linked.open...n/vavai/riv/zamer
issn
  • 0217-9792
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0217979212410032
http://localhost/t...ganizacniJednotka
  • 21340
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