World-Crystal Uncertainty Principle and Micro Black Holes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00184835" target="_blank" >RIV/68407700:21340/11:00184835 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S021827181102007X" target="_blank" >http://dx.doi.org/10.1142/S021827181102007X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021827181102007X" target="_blank" >10.1142/S021827181102007X</a>

Result language
angličtina
Original language name
World-Crystal Uncertainty Principle and Micro Black Holes
Original language description
We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of order of Planck length - a "world crystal". 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - 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/LC07048" target="_blank" >LC07048: Centre for Physics of Ultra-relativistic Nuclear Collissions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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