Black Holes

  1. Thermodynamics and Quantum Physics
    1. Black Hole Thermodynamics
      1. The Four Laws
        1. Zeroth Law
          1. Surface Gravity Constancy
            1. Temperature Analogy
            2. First Law
              1. Mass-Energy Relations
                1. Work and Heat
                  1. Smarr Formula
                  2. Second Law
                    1. Area Increase Theorem
                      1. Entropy Analogy
                        1. Hawking's Proof
                        2. Third Law
                          1. Extremal Black Holes
                            1. Unattainability
                          2. Entropy and Temperature
                            1. Bekenstein-Hawking Formula
                              1. Entropy-Area Relationship
                                1. Hawking Temperature
                                  1. Statistical Interpretation
                                  2. Thermodynamic Stability
                                    1. Heat Capacity
                                      1. Phase Transitions
                                        1. Stability Analysis
                                      2. Quantum Effects
                                        1. Hawking Radiation
                                          1. Quantum Field Theory in Curved Spacetime
                                            1. Virtual Particle Pairs
                                              1. Horizon Effects
                                                1. Thermal Spectrum
                                                2. Evaporation Process
                                                  1. Mass Loss Rate
                                                    1. Temperature Evolution
                                                      1. Lifetime Calculations
                                                        1. Final Explosion
                                                        2. Information Processing
                                                          1. Quantum Information
                                                            1. Entanglement
                                                              1. Holographic Encoding
                                                            2. Semiclassical Gravity
                                                              1. Quantum Fields on Classical Backgrounds
                                                                1. Stress-Energy Tensor
                                                                  1. Backreaction Effects
                                                                    1. Validity Limits

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                                                                  7. Cosmic Roles and Influence

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                                                                  9. Theoretical Frontiers and Paradoxes