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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-Gordon particle. Implications for deformed special relativity, quantum field theory, quantum gravity and cosmology are also 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 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-Gordon particle. Implications for deformed special relativity, quantum field theory, quantum gravity and cosmology are also discussed. (en)
Title
  • Special relativity induced by granular space
  • Special relativity induced by granular space (en)
skos:prefLabel
  • Special relativity induced by granular space
  • Special relativity induced by granular space (en)
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  • RIV/68407700:21340/13:00208113!RIV14-MSM-21340___
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  • P(GCP402/12/J077), Z(MSM6840770039)
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  • 7
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  • 106833
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  • RIV/68407700:21340/13:00208113
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  • NO-INTERACTION THEOREM; QUANTUM-MECHANICS; FIELD-THEORY; SUPERSTATISTICS; NONEXTENSIVITY; ELEMENTARY; AMPLITUDES (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [CB159C259962]
http://linked.open...i/riv/nazevZdroje
  • European Physical Journal C
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  • 73
http://linked.open...iv/tvurceVysledku
  • Jizba, Petr
  • Scardigli, F.
http://linked.open...ain/vavai/riv/wos
  • 000322575300016
http://linked.open...n/vavai/riv/zamer
issn
  • 1434-6044
number of pages
http://bibframe.org/vocab/doi
  • 10.1140/epjc/s10052-013-2491-x
http://localhost/t...ganizacniJednotka
  • 21340
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