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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&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.

  • Czech name

  • Czech description

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