Albert Einstein Sir Isaac Newton
Einstein's hole argument (ps file , pdf file). The
popular account that dynamical spacetime is background
independent. This has important implications for
quantum gravity.

General Relativity and Loop Quantum Gravity

Link to NEW WEBSITE!!!!!!!!.

I am 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) (Complete file - draft version)

Individual files can be downloaded at NEW WEBSITE!!!!!!!!.

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

Volume I: Appendices (drafts)

Loop Quantum Gravity: Volume II (ps file) (pdf file) (Complete file - draft version)

Individual files can be downloaded at NEW WEBSITE!!!!!!!!.

Contents
Chapter 1: Classical GR, Einstein's hole argument and physical observables (1912-1916)
Chapter 2: The early beginnings (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 (draft version)
Chapter 6: The Master Constraint (May 2003)
Chapter 7: The Semi-Classical Limit
Chapter 8: Covariant LQG and Spainfoams
Chapter 9: Extending standard quantum mechanics for background independent theories (draft version)
Chapter 10: Towards background independent scattering amplitudes

Volume II: Appendices (drafts)

Advanced and Recent Developments in LQG: Volume III , (ps file), (pdf file) (Complete file - draft version)

Individual files can be downloaded at NEW WEBSITE!!!!!!!!.

Contents
Chapter 1: Introduction
Chapter 2: Algebraic Quantum Gravity, Reduced Phase Space Quantisation and the Master Constraint Path Integral
Chapter 3: Semiclassical Analysis

Volume IIII: Appendices (drafts)

Appendices of All Books:

Volume I: Appendices (drafts)

Individual files can be downloaded at NEW WEBSITE.

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

Volume II: Appendices (drafts)

Individual files can be downloaded at NEW WEBSITE.

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

Volume III: Appendices (drafts)

Individual files can be downloaded at NEW WEBSITE.

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


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

Link to files!!!!

Fluid Mechanics (pdf file) (not quite finished).
Eigenphysics I
Eigenphysics II (mostly done)

Quantum Electrodynamics a la Feynman (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