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Quantum Mechanics on a Planck Lattice and Black Hole Physics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00190766" target="_blank" >RIV/68407700:21340/11:00190766 - isvavai.cz</a>

  • Result on the web

    <a href="http://iopscience.iop.org/1742-6596/306/1/012026/pdf/1742-6596_306_1_012026.pdf" target="_blank" >http://iopscience.iop.org/1742-6596/306/1/012026/pdf/1742-6596_306_1_012026.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1742-6596/306/1/012026" target="_blank" >10.1088/1742-6596/306/1/012026</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum Mechanics on a Planck Lattice and Black Hole Physics

  • Original language description

    We study uncertainty relations as formulated in a crystal-like universe, whose lattice spacing is of order of Planck length. For Planck energies, the uncertainty relation for position and momenta has a lower bound equal to zero. Connections of this result with double special relativity, and with 't Hooft's deterministic quantization proposal, are briefly pointed out. We then apply our formulae to micro black holes, and we derive a new mass-temperature relation for Schwarzschild (micro) black holes. In contrast to standard results based on Heisen-berg and stringy uncertainty relations, we obtain both a finite Hawking's temperature and a zero rest-mass remnant at the end of the micro black hole evaporation.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Physics: Conference Series

  • ISSN

    1742-6588

  • e-ISSN

  • Volume of the periodical

    306

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    8

  • Pages from-to

    1-8

  • UT code for WoS article

    000300930200026

  • EID of the result in the Scopus database