Black Hole State Counting in Loop Quantum Gravity: A Number-Theoretical Approach Articles uri icon

publication date

  • May 2008

start page

  • 211301-1

end page

  • 211301-4


  • 21


  • 100

International Standard Serial Number (ISSN)

  • 0031-9007

Electronic International Standard Serial Number (EISSN)

  • 1079-7114


  • We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.


  • Mathematics
  • Physics