Volume II

Notes

Volume II Loop Quantum Gravity 1 1 1/2 1/2 3/2 1 3/2 2 3 2 1/2 3/2 1 1/2 1 1/2 1/2 1 3/2 2 1 3/2 2 1/2 1/2 1/2 Draft version By Ian Baynham 12th November 2009 γ 3 2 3/2 3/2 2 1 Contents: •Chapter 1: Classical GR, Einstein’s hole argument and physical geometry (1912-1916) •Chapter 2: The early beginnings of LQG (1984-1992) •Chapter 3: Formal developments (1992-2006) •Chapter 4: Dynamics: The Hamiltonian constraint and Spin foams •Chapter 5: Physical Applications of LQG: Black Hole Entropy and Loop Quantum Cosmology •Chapter 6: The Master Constraint and a Better Understanding of the Dynamics (May 2003-present) •Chapter 7: The Semi-Classical Limit •Chapter 8: Covariant LQG and Spinfoams •Chapter 9: Extending standard quantum mechanics for Background- Independent Theories •Chapter 10: Towards Background-Independent Scattering Am- plitudes •Physics Glossary •Maths Glossary •Many Detailed Appendices with Worked Exercises 2 Chapter 1: Classical GR, Einstein’s hole argument and Physical Geometry (1915) •Einstein’s hole argument. •Physical geometry. •Conceptual issues. •Relational mechanics. •Partial, complete and Dirac observables. •The problem of quantizing gravity. Chapter 2: The early b...