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Updated: Jun 23, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Fine-grained state counting for black holes in loop quantum gravity.

A Ghosh1, P Mitra

  • 1Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064, India.

Physical Review Letters
|April 28, 2009
PubMed
Summary

Black hole states in loop quantum gravity are described by spin distributions. Entropy is proportional to area in approximate thermal equilibrium, but deviates when area is precisely fixed.

Area of Science:

  • Theoretical physics
  • Quantum gravity
  • Black hole thermodynamics

Background:

  • Black hole states are characterized by spin distributions on the horizon in loop quantum gravity.
  • The area of the black hole acts as the energy in a Boltzmann-type distribution.

Purpose of the Study:

  • To investigate the relationship between black hole entropy and area under different constraints.
  • To analyze the behavior of spin distributions and analogue temperatures in varying conditions.

Main Methods:

  • Modeling black hole states using spin distributions on horizon punctures.
  • Applying Boltzmann-type statistical mechanics where area serves as energy.
  • Analyzing systems with approximately constant total area versus precisely fixed area.

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Main Results:

  • When total area is approximately constant, spins reach thermal equilibrium at a common analogue temperature, and entropy is proportional to area.
  • When area is precisely fixed, multiple constraints arise, leading to different analogue temperatures for different spins.
  • Under precise area fixation, entropy is not strictly linear with area but is bounded by a linear increase.

Conclusions:

  • The precise fixation of black hole area introduces complexities not present in approximate scenarios.
  • Spin distribution and analogue temperature dynamics are crucial for understanding black hole entropy deviations.
  • Loop quantum gravity provides a framework to explore these nuanced relationships between black hole properties.