The Notebooks: Gauge Theory & Gravitation

Quantum Gravity Problem:

Below is a compilation of George Karatheodoris’ scanned notebooks. His untimely death resulted in the bulk of his work on gauge gravity to remain unpublished. They are presented here in reverse chronological order. Volumes for previous years are still in the process of being uploaded. A complete volume list (with topics covered in each notebook) is found here

Why Scan the Notebooks?
A note from the author “…I have to write extremely terse papers in the code (TeX code) for the articles. I will cite pages from notebooks in which details are carried out. I just don’t have time to make the papers pedagogical as much as I might like to.” (from notebook: February 2012-July 2012, p. 20.)
Organization and Presentation

The notebooks are scanned in their entirety as it’s impossible to know which the author intended to scan and reference for his articles. Each title block below begins with a the date, some topic(s) covered, followed by the “Page Link” below it.

Year: 2012

Notebook dates for the year 2012 overlap considerably, as work was developed in separate notebooks. The notebook dated February 2012-July 2012** contains considerable work and reviews of the author’s accumulated insights on gravity and quantum gravity.

February 2012 – July 2012 On an Algebraic Approach to Gravity

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/february-2012-july-2012/

April 2012 – May 2012 An Algebraic Approach to Gravity (cont’d)

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/april-2012-may-2012/

June 2012 – September 2012 Notes on Lie’s Third Theorem; On the Teleparallel Equivalent of General Relativity; Looking at the Big Picture; What is the Nature of a Groupoid?

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/june-2012-september-2012/

Year: 2011

January 2011 – February 2011 Some Implications of Gravitational Theory for Quantum Theory

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/gravitational-theory-and-quantum-theory-implications-jan-2011-february-2011/

March 2011 – April 2011 Mainly Notes on Quantum Theory, its Interpretation, Formalism etc; The Birkhoffian Generalization of Quantum Theory; Generalized Gauge Theory.

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/spacetimea-relational-understanding-applying-a-certain-group-element-march-2011-april-2011/

April 2011 – July 2011 Mainly Gauge Gravity Ideas: especially Generalizations Found and not Found in Chapter 6 of book by the Chinese authors; Using Ch. 6 of the Chinese Book as a Launching Off Point for Gauge Gravity.

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/gauge-gravitygeneralizations-and-wu-ki-tungs-group-theory-in-physics-april-2011-july-2011/

August 2011 Local Translations and Thermodynamics; On the Question of the Origin of Gravity; Thermodynamic-Mechanic Duality; Notes on Geometric Quantization.

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/thermodynamics-and-gravitation-august-2011/

September 2011 – October 2011 Notes on Non-Generated Diffeomorphisms

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/non-generated-diffeomorphisms-by-george-s-karatheodoris-september-2011-october-2011/

October 2011 – December 2011 Notes on Non-Generated Diffeomorphisms (cont’d)

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/on-non-generated-diffeomorphisms-continued-october-2011-december-2011/

Year: 2010

September 2010 – February 2011 Local Translations; Wong Equations for Gravitation; Gauge Gravity

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/september-2010-february-2011/

**October 2010 – November 2010 Wong Equations for Gravitation.

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/wong-equations-for-gravitation-2/ **Work is part of notebook dated: September 2010 – February 2011.

July 2010 – September 2010 Notes on: Gauge Gravity and Teleparallelism, Local Translations, Peirels Bracket, Poisson-Lie Bracket, Weyl, Tanimura, Wong Equations

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/july-2010-september-2010/

April 2010 – July 2010 Wong Equations, Observables in Quantum Gravity and Noncommutativity, Lattice Gravity, Gauge Transformations. “This is the notebook in which I made the discovery that noncommutativity and no-locality are inherent in gauge gravity.”

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/april-2010-july-2010/

November 2009 – July 2010 A Continuation of the Gauge Gravity Project

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/november-2009-april-2010/

Year: 2009

June 2009 – November 2009 A Consideration of the Literature on Gauge Gravity and the Notion that Local Translations are Fundamental to Gravitational Interactions.

Page Link: https://gaugegravity.com/gauge-gravity-and-quantizationhome/quantum-gravity-problem-notebooks-of-george-karatheodoris-the-notebooks/june-2009-november-2009/