Quantum black holes, partition of integers and self-similarity

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Quantum black holes, partition of integers and self-similarity

Popis výsledku v původním jazyce

In this paper, we take the view that the area of a black hole&apos;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&apos;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.

Název v anglickém jazyce

Quantum black holes, partition of integers and self-similarity

Popis výsledku anglicky

In this paper, we take the view that the area of a black hole&apos;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&apos;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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

1793-6632

Svazek periodika

37

Číslo periodika v rámci svazku

23

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

13

Strana od-do

2250157

Kód UT WoS článku

000864215200003

EID výsledku v databázi Scopus

2-s2.0-85140257526