Topological Analysis of Black Hole Microstructure
Published:Dec 28, 2025 09:31
•1 min read
•ArXiv
Analysis
This paper explores the microstructure of Kerr-Newman black holes within the framework of modified f(R) gravity, utilizing a novel topological complex analytic approach. The core contribution lies in classifying black hole configurations based on a discrete topological index, linking horizon structure and thermodynamic stability. This offers a new perspective on black hole thermodynamics and potentially reveals phase protection mechanisms.
Key Takeaways
- •Applies a topological complex analytic framework to study black hole microstructure.
- •Classifies black hole configurations using a discrete topological index.
- •Connects the topological index to horizon structure and thermodynamic stability.
- •Demonstrates the robustness of the classification in a specific modified gravity model.
- •Suggests a potential phase protection mechanism in black hole thermodynamics.
Reference
“The microstructure is characterized by a discrete topological index, which encodes both horizon structure and thermodynamic stability.”