Research Paper#Black Hole Thermodynamics, Quantum Information, AdS/CFT, Holography🔬 ResearchAnalyzed: Jan 3, 2026 08:40
Holographic Central Charge and Black Hole Properties
Published:Dec 31, 2025 11:51
•1 min read
•ArXiv
Analysis
This paper explores the connection between the holographic central charge, black hole thermodynamics, and quantum information using the AdS/CFT correspondence. It investigates how the size of the central charge (large vs. small) impacts black hole stability, entropy, and the information loss paradox. The study provides insights into the nature of gravity and the behavior of black holes in different quantum gravity regimes.
Key Takeaways
- •Large central charge corresponds to classical gravity, small central charge to quantum gravity (Loop Quantum Gravity).
- •Black hole stability and entropy are affected by the central charge size.
- •The Page curve and unitarity of black hole evaporation are recovered using the island formula.
- •Entanglement entropy after the Page time includes a logarithmic correction related to the central charge.
Reference
“The paper finds that the entanglement entropy of Hawking radiation before the Page time increases with time, with the slope determined by the central charge. After the Page time, the unitarity of black hole evaporation is restored, and the entanglement entropy includes a logarithmic correction related to the central charge.”