Fundamental Aspects of Asymptotic Safety in Quantum Gravity

"Fundamental Aspects of Asymptotic Safety in Quantum Gravity" is a comprehensive scientific work that addresses the asymptotic safety approach in quantum black hole theory. The author, Zoë H. Slade, provides a detailed introduction to the topic and explains significant advancements documented in four influential papers. The dissertation covers, among other things, the reconstruction problem, background independence in quantum black hole theory, and the investigation of the asymptotic properties of fixed point solutions. By developing the concept of compatibility within conformally reduced gravity, a deeper understanding of the foundations of model dependence and its implications for fixed points is achieved. The work concludes with a discussion on the integration of matter into the existing formalism and highlights future opportunities for testing the asymptotic safety approach.