Derek Wise thesis is posted (Baez student, Cartan geometry)

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Discussion Overview

The discussion revolves around Derek Wise's thesis on Cartan geometry and its potential implications for quantum gravity. Participants explore various aspects of the thesis, including its organization, content, and connections to previous research in the field.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants highlight the thesis as a valuable compilation of related research topics, suggesting it organizes various lines of investigation into a coherent exposition.
  • One participant expresses particular interest in the coverage of MacDowell-Mansouri gravity, proposing it be referred to as "modified BF gravity."
  • There is a suggestion that others, like marcus, should read the thesis, with an emphasis on personal choice in reading material.
  • Another participant notes that they have encountered substantial portions of the thesis in earlier papers and presentations, indicating a familiarity with the content prior to its formal release.
  • Connections are drawn between Derek's approach and other research directions, particularly regarding the extraction of matter from braids, suggesting a thematic link to the work of other researchers like Smolin and his collaborators.
  • A request is made for specific sections of the thesis that may contain new material not previously seen in Derek's earlier works.

Areas of Agreement / Disagreement

Participants generally agree on the value of the thesis as a synthesis of existing research, but there is no consensus on specific new contributions or the implications of the work, leaving the discussion open-ended.

Contextual Notes

Some participants reference earlier works and discussions, indicating a shared background knowledge that may influence their interpretations of the thesis. The discussion reflects ongoing exploration rather than settled conclusions.

Who May Find This Useful

Readers interested in quantum gravity, Cartan geometry, and the intersection of different research approaches in theoretical physics may find this discussion relevant.

marcus
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http://www.math.ucr.edu/home/baez/thesis_wise.pdf

Derek has taken a position at UC Davis and been moving his webpages up there from UC Riverside.

John Baez has discussed a chunk of Derek's research in a paper he delivered at a conference a few months back. Also Derek has summarized part of it in a paper he put on arxiv last year.
http://arxiv.org/abs/gr-qc/0611154

Cartan geometry could turn out to play a crucial role in quantum gravity. Derek is a good clear writer so his earlier paper was a pleasure to read (the one everybody remembers as having the hamster in a ball rolling over a differentiable manifold).

Here is Derek's new UCD webpage
http://www.math.ucdavis.edu/~derek/

I've looked thru the thesis and see that one useful thing it does is gather several related lines of investigation into one organized exposition. I suspect several of us have already read large portions of Wise's thesis in other formats (I certainly have, with interest!). A good deal of the content had already been made public in papers and online slides.
 
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This thesis has a lot of good stuff in it. My favorite, not surprisingly, is his thorough coverage of MacDowell-Mansouri gravity, which should probably start going by the more descriptive name, "modified BF gravity."
 
josh1 said:
So you think it would be a good idea for marcus to read Derek`s paper?

I think it would be a good idea for marcus to read whatever he wants.
 
garrett said:
I think it would be a good idea for marcus to read whatever he wants.

Sounds like a good plan, Garrett :smile: and one others could follow as well!
As i said in my first post, I looked through the 200-page thesis immediately when it came out and discovered that I had already read substantial parts of it in various forms (earlier papers and talks by Derek and by Baez about Derek's research etc. et al.)
BTW the famous picture of the hamster is on page 138. And I was definitely reading it because that was what I wanted to read! Dr. Johnson had some advice about this*. :biggrin:

Garrett, if you feel like taking the trouble to help an onlooker, please list some pages or sections where there is important new stuff that we have not already seen in Derek's earlier paper and the slides from his talk---papers with Baez, and so on.

As I said in the earlier post, what I mostly see is a valuable gathering and fitting together of various pieces of a new direction of research which we've been hearing about for about two years. (maybe even earlier, going back to Freidel and Starodubtsev.)

To me it's interesting that, just as the new approach Smolin is following (with Sundance, Wan, Hackett, Kauffman... https://www.physicsforums.com/showthread.php?t=190053 ) is getting matter out of braids, so is the quite different approach that Derek assembles the pieces of ALSO looking to get matter out of braids. But braids made of different cloth.

Anyway, if the spirit moves you to point to a few pages or sections for special attention, please do.

*Basically Samuel Johnson's advice was to read what you want to read and put hostile-motivated stuff on your ignore list, if I remember correctly.
 
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