Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fundamental length of quantum geometry and the black hole entropy   The geometric operators of area, volume, and length, depend on a fundamental
length l of quantum geometry which is a priori arbitrary rather than equal to
the Planck length l_P. The fundamental length l and the Immirzi parameter
$\gamma$ determine each other. With any l the entropy formula is rendered most
naturally in units of the length gap sqrt{{sqrt 3}/2} (sqrt{gamma} l).
  Independently of the choice of l, the black hole entropy derived from quantum
geometry in the limit of classical geometry is completely consistent with the
Bekenstein-Hawking form.
  The extremal limit of 1-puncture states of the quantum surface geometry
corresponds rather to an extremal string than to a classical horizon.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph