See main text for Einstein's hole argument. Dynamical spacetime is background
independent. This has important implications for
quantum gravity.

General Relativity and Loop Quantum Gravity

I am in the process of writing three sets of notes.

Volume I: Advanced and Modern General Relativity (main chapters) (Volume I appendices).
Volume II: Loop Quantum Gravity (main chapters) (Volume II appendices).
Volume III: Advanced and Recent Developments in Loop Quantum Gravity (main chapters) (Volume III appendices).

Draft version with bibliographical notes incomplete!! By Ian Baynham (baynham_ian@hotmail.com)

I've started putting together some undergraduate physics and maths notes.

Self-contained explicit presentation

Advanced and Modern General Relativity: Volume I (ps file) (pdf file) (The complete set of chapters - draft version)

Contents (ps file , pdf file)
Chapter 1: Classical GR, Einstein's hole argument and physical observables (1912-1916) (ps file , pdf file) (draft version)
Chapter 2: Introduction to General relativity and its Physical Observables ( ps file , pdf file) (draft version)
Chapter 3: Black holes - Event, Isolated and Dynamical Horizons ( ps file , pdf file) (draft version)
Chapter 4: Cosmology ( ps file , pdf file) (draft version)
Chapter 5: Proof of the Hawking Penrose Singularity Theorems ( ps file , pdf file) (draft version)
Chapter 6: Consistent Discrete Classical GR (ps file , pdf file) (draft version)
Chapter 7: Quantum Field Theory on Curved Spacetime (ps file , pdf file) (draft version)
Chapter 8: Quantum Gravity (ps file , pdf file) (draft version)

Volume I: Appendices (drafts)

Loop Quantum Gravity: Volume II (ps file) (pdf file) (The complete set of chapters - draft version)

Contents (ps file , pdf file)
Chapter 1: Classical GR, Einstein's hole argument and physical observables (1912-1916) ( ps file , pdf file) (draft version)
Chapter 2: The early beginnings (1984-1992) ( ps file , pdf file) (draft version)
Chapter 3: Formal developments (1992-2006) ( ps file , pdf file) (draft version)
Chapter 4: Dynamics : The Hamiltonian constraint and Spin foams ( ps file , pdf file) (draft version)
Chapter 5: Physical Applications of LQG: Black Hole Entropy and Loop Quantum Cosmology ( ps file , pdf file) (draft version)
Chapter 6: The Master Constraint (May 2003) ( ps file , pdf file) (draft version)
Chapter 7: The Semi-Classical Limit ( ps file , pdf file) (draft version)
Chapter 8: Covariant LQG and Spinfoams ( ps file , pdf file) (draft version)
Chapter 9: Extending standard quantum mechanics for background independent theories ( ps file , pdf file) (draft version)
Chapter 10: Towards background independent scattering amplitudes ( ps file , pdf file) (draft version)

Volume II: Appendices (drafts)

Advanced and Recent Developments in LQG: Volume III , (ps file), (pdf file) (The complete set of chapters - draft version)

Contents ( ps file , pdf file)
Chapter 1: Introduction ( ps file , pdf file) (draft version)
Chapter 2: Algebraic Quantum Gravity, Reduced Phase Space Quantisation and the Master Constraint Path Integral ( ps file , pdf file) (draft version)
Chapter 3: Semiclassical Analysis ( ps file , pdf file) (draft version)

Volume IIII: Appendices (drafts)

Appendices of All Books:

Volume I: Appendices (drafts)

Appendix A: Physics Glossary ( ps file , pdf file)
Appendix B: Mathematics Glossary ( ps file , pdf file)
Appendix C: Mathematics (ps file , pdf file)
Appendix D: Constrained Hamiltonian Systems, Dirac Observables and Constraint Algebra (ps file , pdf file)
Appendix E: ADM and First order Formalism of Einstein's Theroy ( ps file , pdf file)
Appendix F: Self-dual Connection formulation of Einstein's Equations ( ps file , pdf file)
Appendix G: The Holst Action and the Ashtekar-Barbero Variables ( ps file , pdf file)
Appendix H : Some Functional Analysis ( ps file , pdf file)
Appendix I : Quantum Field Theory ( ps file , pdf file)
Appendix J : Details of Hawking's Calculation ( ps file , pdf file)

Volume II: Appendices (drafts)

Appendix A: Physics Glossary ( ps file , pdf file)
Appendix B: Mathematics Glossary ( ps file , pdf file)
Appendix C: Mathematics ( ps file , pdf file)
Appendix D: Yang-Mills and Gauge Theory ( ps file , pdf file)
Appendix E: Covariant Classical and Quantum Mechanics ( ps file , pdf file)
Appendix F: Generally Covariant Thermodynamics and Statistical Mechanics ( ps file , pdf file)
Appendix G: Spin Networks ( ps file , pdf file)
Appendix H: Black Hole Entropy ( ps file , pdf file)
Appendix I: Loop Quantum Cosmology ( ps file , pdf file)
Appendix J: Functional Analysis ( ps file , pdf file)
Appendix K: Quantisation Schemes ( ps file , pdf file)
Appendix L: The Loop Representation ( ps file , pdf file)
Appendix M: The Hamiltonian Constraint ( ps file , pdf file)
Appendix N: Spin Foams ( ps file , pdf file)
Appendix O: The Master Constraint ( ps file , pdf file)
Appendix P: The Semiclassical Limit ( ps file , pdf file)
Appendix Q: Consistent Discrete Classical and Quantum General Relativity ( ps file , pdf file)
Appendix R: Quamtum Gravity Phenenomology ( ps file , pdf file)
Bibliography ( ps file , pdf file)

Volume III: Appendices (drafts)

Appendix A: Physics Glossary ( ps file , pdf file)
Appendix B: Mathematics Glossary ( ps file , pdf file)
Appendix C: Algebraic Quantum Gravity ( ps file , pdf file) (draft version)
Appendix D: Standard QED ( ps file , pdf file) (draft version Aug 2010)
Appendix E: Standard Quantum Field Theory: Functional Integral and Canonical Approach ( ps file , pdf file) (draft version)
Appendix F: Electro-Weak Theory ( ps file , pdf file) (draft version)
Appendix G: Standard Model of Particle Physics ( ps file , pdf file) (not exist yet)
Appendix H: Perturbative Quantum Graviy ( ps file , pdf file) (draft version)
Appendix I: Algebraic Structures ( ps file , pdf file) (draft version)
Appendix J: Category Theory and Topos ( ps file , pdf file) (draft version)
Appendix K: Loop Quantum Gravity Quantisation of String Theory ( ps file , pdf file) (draft version)

Quantum Gravity Sources

Carlo Rovelli's homepage
John Baez's homepage
Jorge Pullin's homepage
Penn State Center of Gravity
Penn State Center of Gravity PhD thesis

Online talks

"International Loop Quantum Gravity Seminar" http://relativity.phys.lsu.edu/ilqgs/ - many talks given by researchers in the field.

Online video lectures

Lee Smolin: Introduction to Quantum Gravity - 2006
Carlo Rovelli: Explorations in Quantum Gravity - 2012

General Relativity Sources

MIT DEPARTMENT OF PHYSICS. General Relativity
Lecture Notes on General Relativity by Sean M. Carroll (with usefull links)
Undergraduate Level Coursework Related to Relativity at UCR
Lecture Notes on General Relativity by Matthias Blau
Introduction to Differential Geometry and General Relativity. Lecture Notes by Stefan Waner
Geometric algebra
Relativity bookmarks

Physics forums

On the forum www.physicsforums.com there is much discussion on GR, loop quantum gravity and string theory
as well as many other areas of physics and maths

Undergraduate Physics and Math notes I'm putting together

2nd year courses:

Fluid Mechanics (ps file, pdf file) (not quite finished).
Eigenphysics I (ps file) (download ps file before opening) (pdf file)
Eigenphysics II (ps file) (download ps file before opening) (pdf file)

3rd year courses:

Functions of a complex variable

Some post grad courses

Quantum Electrodynamics a la Feynman (ps file, pdf file) (a lot done - not quite finished).

Some Revisions of Undergraduate Physics a la Carlo Rovelli et al

Time-of-arrival in quantum mechanics (pdf file , ps file)
Relational Quantum Mechanics (pdf file , ps file)
Stanford Encyclopedia of Philosophy - Relational QM
Relational QM - wiki
``Incerto tempore, incertisque loci'': Can we compute the exact time at which a quantum measurement happens? (pdf file , ps file)
Partial observables (pdf file , ps file)
A dialog on quantum gravity (pdf file , ps file)
What is a particle? (pdf file , ps file)
Unfinished revolution (pdf file , ps file)
Relational EPR (pdf file , ps file)
"Forget time" (pdf file , ps file)
Why Gauge? (pdf file , ps file)
Relative information at the foundation of physics (Second prize in the 2013 FQXi context "It From Bit or Bit From It?") (pdf file)
FREE WILL, DETERMINISM, QUANTUM THEORY AND STATISTICAL FLUCTUATIONS: A PHYSICIST'S TAKE