Quantum black holes, partition of integers and self-similarity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10455145" target="_blank" >RIV/00216208:11320/22:10455145 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YWqjpLE7of" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YWqjpLE7of</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217732322501577" target="_blank" >10.1142/S0217732322501577</a>
Alternative languages
Result language
angličtina
Original language name
Quantum black holes, partition of integers and self-similarity
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Modern Physics Letters A
ISSN
0217-7323
e-ISSN
1793-6632
Volume of the periodical
37
Issue of the periodical within the volume
23
Country of publishing house
SG - SINGAPORE
Number of pages
13
Pages from-to
2250157
UT code for WoS article
000864215200003
EID of the result in the Scopus database
2-s2.0-85140257526