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  • We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of order of Planck length - a %22world crystal%22. For energies near the border of the Brillouin zone, i.e. for Planckian energies, the uncertainty relation for position and momentum does not pose any lower bound. We apply these results to micro black holes physics, where we derive a new mass-temperature relation for Schwarzschild micro black holes. In contrast to standard results based on Heisenberg and stringy uncertainty relations, our mass-temperature formula predicts both a finite Hawking's temperature and a zero rest-mass remnant at the end of the black hole evaporation.
  • We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of order of Planck length - a %22world crystal%22. For energies near the border of the Brillouin zone, i.e. for Planckian energies, the uncertainty relation for position and momentum does not pose any lower bound. We apply these results to micro black holes physics, where we derive a new mass-temperature relation for Schwarzschild micro black holes. In contrast to standard results based on Heisenberg and stringy uncertainty relations, our mass-temperature formula predicts both a finite Hawking's temperature and a zero rest-mass remnant at the end of the black hole evaporation. (en)
Title
  • World-Crystal Uncertainty Principle and Micro Black Holes
  • World-Crystal Uncertainty Principle and Micro Black Holes (en)
skos:prefLabel
  • World-Crystal Uncertainty Principle and Micro Black Holes
  • World-Crystal Uncertainty Principle and Micro Black Holes (en)
skos:notation
  • RIV/68407700:21340/11:00184835!RIV12-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC07048), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 10
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 241918
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/11:00184835
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum-gravity; crystal-like universe; lattice spacing; Planck length; Brillouin zone; micro black holes; Heisenberg relations; Hawking's temperature (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [4D69147069AD]
http://linked.open...i/riv/nazevZdroje
  • INTERNATIONAL JOURNAL OF MODERN PHYSICS D
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 20
http://linked.open...iv/tvurceVysledku
  • Jizba, Petr
  • Kleinert, H.
  • Scardigli, F.
http://linked.open...ain/vavai/riv/wos
  • 000295277300030
http://linked.open...n/vavai/riv/zamer
issn
  • 0218-2718
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S021827181102007X
http://localhost/t...ganizacniJednotka
  • 21340
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