Below are Karatheodoris’ scanned notebooks. His novel approach of work on gauge gravity remains unpublished. They are presemted in reverse chronological order. A complete titled list is 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. Each “Page Link” takes the reader to the corresponding PDF of the notebook. Each webpage also has author commentary transcribed from the notebook with corresponding PDF page numbers.
2012
February 2012 – July 2012 On an Algebraic Approach to Gauge Gravity . Contains the author’s conclusions, insights, leading up to a review and summary of years of work .
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?
2012-2011
September 2011 – December 2011 On Non-Generated Diffeomorphisms
August 2011 Local Translations and Thermodynamics; On the Question of the Origin of Gravity; Thermodynamic-Mechanic Duality; Notes on Geometric Quantization.
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.
March 2011 – April 2011 On Quantum Theory, its Interpretation, Formalism etc; The Birkhoffian Generalization of Quantum Theory; Generalized Gauge Theory.
January 2011 – February 2011 Some Implications of Gravitational Theory for Quantum Theory.
2011-2010
**October 2010 – November 2010 Wong Equations for Gravitation. **Work is in conjunction with notebook below, dated: September 2010 – February 2011.
September 2010 – February 2011 Gauge Theory, Parallelism, Kleinert, Wong Equations
November 2009 – April 2010 A Continuation of the Gauge Gravity Project: On Gauge Gravity, Wong and Lorentz Equations
July 2010 – September 2010 Notes on: Gauge Gravity and Teleparallelism, Local Translations, Peirels Bracket, Poisson-Lie Bracket, Weyl, Tanimura, Wong Equations
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.”
2010-2009
November 2009 – April 2010 Gauge Gravity and Local Translations
June 2009 – November 2009 A Consideration of the Literature on Gauge Gravity and the Notion that Local Translations are Fundamental to Gravitational Interactions.
March 2009 – May 2009 Notes on Strings and Emergent Gravity
2008-2007
June 2008 – January 2009 Non-Commutative Spacetime, Geometry; Rindler; Liouville; Strings
January-February 2008 NCQFT on Rindler; Noncommutative Rindler & Black Holes (1-08–2-08)
March 2007-June 2008 Non Commutative Spacetime, Unitarity, Gravity from Commutators, Noncommutative Pseudo-Complex Geometry
2006-2005
August 2005 – January 2006 Noncommutative Spacetime and Rindler Space
June 2005: STRINGS at TASI, Boulder Colorado