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- Title
WORLD-CRYSTAL UNCERTAINTY PRINCIPLE AND MICRO BLACK HOLES.
- Authors
JIZBA, PETR; KLEINERT, HAGEN; SCARDIGLI, FABIO
- Abstract
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.
- Subjects
MINIATURE black holes; HEISENBERG uncertainty principle; BRILLOUIN zones; LATTICE dynamics; SCHWARZSCHILD black holes; ATOMIC mass; MOMENTUM (Mechanics)
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2011, Vol 20, Issue 10, p2003
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S021827181102007X