An Exceptionally Technical Discussion of AESToE

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Discussion Overview

This thread discusses technical aspects of a paper related to the mathematical tools and notation used in the context of a theory involving Lie algebras, specifically focusing on the g2-su(3) relationship and its implications. The discussion includes questions about equations, representations, and corrections to the paper's content, with an emphasis on mathematical clarity rather than physical debates.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Participants discuss the unusual math and notation in the paper, particularly vector-form contraction.
  • Corrections to specific matrices in the paper are noted, including scaling factors and misidentifications of representations.
  • One participant questions how to define the "+" in the context of the g2-su(3) relationship and seeks clarification on combining representations into a larger matrix.
  • Another participant explains that the "+" refers to a direct sum of vector spaces and references an equation in the paper for clarification.
  • There is a discussion about the representation independence of Lie algebra elements and the convenience of using a 7x7 matrix representation for calculations.
  • One participant expresses a desire to implement the theory in "C" code, suggesting that computational methods are essential for handling the complexity of the mathematics involved.
  • A question is raised about the dependence of E(8)-Noether currents on new fields introduced in the theory.

Areas of Agreement / Disagreement

Participants generally agree on the technical aspects of the mathematics discussed, but there are unresolved questions regarding specific representations and their implications. The discussion remains open with multiple viewpoints on how to approach the mathematical relationships presented.

Contextual Notes

Some participants note that the understanding of the relationships between representations and their corresponding matrices is complex and may depend on specific definitions and contexts. The discussion includes corrections to the paper that highlight potential limitations in the original content.

  • #481
Why did you point the citations for garrett's articles?
 
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  • #482
MTd2 said:
Why did you point the citations for garrett's articles?

First because it is interesting to remark that there are some :-)

Second, because of the second one in the list, Supersymmetry and Polytopes, which is an argument independent from Garret's (and from Tony's) but touching the same theme, plus susy.
 
  • #483
Arivero, did you know that an attemptive version of SUSY E(8) GUT exists since the 80's?

http://arxiv.org/abs/hep-ph/0201009

And also that recently it was found that F-Theory together with M-Theory with the usual standard model as a low energy limit, which might be need to be embeded in an E(8)?

http://arxiv.org/abs/0905.0142
 
Last edited:
  • #484
MTd2 said:
Arivero, did you know that an attemptive version of SUSY E(8) GUT exists since the 80's?

http://arxiv.org/abs/hep-ph/0201009

Yes, I knew :cool: It is only that the particle content seems, to me, excesive.
 
  • #485
Does AESTOE make any new predictions, in terms of quantum gravity? Does it calculate black hole entropy?
 
  • #486
It's not a quantum theory and not consistent anyway, as far as we know.
 

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