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 His untimely death resulted in the bulk of his work on gauge gravity to remain unpublished.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 (indicating topics covered in each notebook) is found here
Why Scan the Notebooks?
A note from the author explains: “…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: On an Algebraic Approach to Gauge Gravity, 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 topics covered, followed by the notebook’s “Page Link” below it. The “Page Link” takes the reader to the corresponding notebook’s webpage containing its PDF. The webpage also has author commentary transcribed from the notebook with corresponding PDF page numbers.
February 2012 – July 2012 On an Algebraic Approach to Gauge Gravity . The author’s conclusions, insights, leading up to a review and summary of years of work can be found here.
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?
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/
April 2011 – July 2011 Some 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.
August 2011 Local Translations and Thermodynamics; On the Question of the Origin of Gravity; Thermodynamic-Mechanic Duality; Notes on Geometric Quantization.
September 2011 – December 2011 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-calculations-and-conclusions/
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.”
July 2010 – September 2010 Notes on: Gauge Gravity and Teleparallelism, Local Translations, Peirels Bracket, Poisson-Lie Bracket, Weyl, Tanimura, Wong Equations
November 2009 – April 2010 A Continuation of the Gauge Gravity Project: On Gauge Gravity, Wong and Lorentz Equations
September 2010 – February 2011 Gauge Theory, Parallelism, Kleinert, Wong Equations
**October 2010 – November 2010 Wong Equations for Gravitation. **Work is in conjunction with notebook above, dated: September 2010 – February 2011.
June 2009 – November 2009 A Consideration of the Literature on Gauge Gravity and the Notion that Local Translations are Fundamental to Gravitational Interactions.
November 2009 – April 2010 Gauge Gravity and Local Translations