PIRSA:12060063 Conference

DOI10.48660/12060063

Conference/School: Relativistic Quantum Information - 2012

Scardigli, F. (2012). Uncertainty Relations on a Planck Lattice and Black Hole Temperature. Perimeter Institute. https://pirsa.org/12060063

Scardigli, Fabio. Uncertainty Relations on a Planck Lattice and Black Hole Temperature. Perimeter Institute, Jun. 27, 2012, https://pirsa.org/12060063 

@misc{ pirsa_PIRSA:12060063,
  doi = {10.48660/12060063},
  url = {https://pirsa.org/12060063},
  author = {Scardigli, Fabio},
  keywords = {},
  language = {en},
  title = {Uncertainty Relations on a Planck Lattice and Black Hole Temperature},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {jun},
  note = {PIRSA:12060063 see, \url{https://pirsa.org}}
}

Abstract

After an introduction to generalized uncertainty principle(s), we study uncertainty relations as formulated in a crystal-like universe, whose lattice spacing is of order of  Planck length. For Planckian energies, the uncertainty relation for position and momenta has a lower bound equal to zero. Connections of this result with 't Hooft's deterministic quantization proposal, and with double special relativity are briefly presented. We then apply our formulae to (micro) black holes, we derive a new mass-temperature relation for Schwarzschild black holes, and we discuss the new thermodynamic entropy and heat capacity. In contrast to standard results based on Heisenberg 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. [Ref.Paper: PRD 81, 084030 (2010). arXiv:0912.2253]

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