Table of Contents: “...Lecture I: Hilbert Space is Huge -- Lecture II: Black Holes and the Second Law of Complexity -- Lecture III: The Thermodynamics of Complexity....”

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Table of Contents: “...Special relativity -- Riemannian geometry -- Introduction to general relativity -- General relativity -- Einstein's equations -- Black holes -- Kruskal-Szekeres coordinates and geodesics of the Schwarzschild black hole -- Conformal compactifications...”

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Table of Contents: “... and Associated Thermodynamics -- Entropy of a Generic Null Surface from its Associated Virasoro Algebra -- Part IV: Classical Gravity, Quantum Matter -- A Quantum Peek Inside the Black Hole Event Horizon -- Information Retrieval from Black Holes -- Dynamic...”

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Table of Contents: “...Introduction.- Black Holes.- Black Hole Thermodynamics -- Field Quantization in Curved Spacetime -- Particle Creation and Observer-Dependent Radiation -- Black Hole Radiation -- The Information Paradox -- Firewalls.- Summary....”

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Table of Contents: “...Introduction -- The Renormalisation group -- The flow of F(R) gravity -- Black hole space-times -- Thermodynamics of space-time -- Black hole thermodynamics under the microscope -- Conclusion....”

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Table of Contents: “... multidimensional fluctuating systems in equilibrium -- Some recent advances in black hole thermodynamics....”

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