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- Title
Quantum black holes, partition of integers and self-similarity.
- Authors
Castorina, P.; Iorio, A.; Smaldone, L.
- Abstract
In this paper, we take the view that the area of a black hole's event horizon is quantized, A = l P 2 (4 ln 2) N , and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the entropy, S BH , our main focus being black hole self-similarity. We first find a two-to-one map between the black hole's configurations and the ordered partitions of the integer N. Hence, we construct from there a composition law between the subparts making the whole configuration space. This gives meaning to black hole self-similarity, entirely within a single description, as a phenomenon stemming from the well-known self-similarity of the ordered partitions of N. Finally, we compare the above to the well-known results on the subleading (quantum) corrections, which necessarily require different (quantum) statistical weights for the various configurations.
- Subjects
INTEGERS; CONFIGURATION space; STATISTICAL weighting; DEGREES of freedom; PARTITIONS (Mathematics)
- Publication
Modern Physics Letters A, 2022, Vol 37, Issue 23, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732322501577