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)

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)

__Volume I: Appendices (drafts)__

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)__

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)__

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__

John Baez's homepage

Jorge Pullin's homepage

Penn State Center of Gravity

Penn State Center of Gravity PhD thesis

__Online talks__

__Online video lectures__

Carlo Rovelli: Explorations in Quantum Gravity - 2012

__General Relativity Sources__

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__

as well as many other areas of physics and maths

__Undergraduate Physics and Math notes I'm putting together__

Link to files!!!!

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__

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