Explicit embedding of gravity+Standard Model in E8 (new Lisi paper)

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Discussion Overview

The discussion revolves around the paper "An Explicit Embedding of Gravity and the Standard Model in E8" by A. Garrett Lisi, which proposes a unification of gravity and the Standard Model (SM) using the exceptional Lie algebra E8. Participants explore the implications of this unification, its predictive power, and the challenges it faces, particularly regarding the compatibility of classical and quantum theories.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants note that Lisi's model predicts new particles that could be tested at the LHC, aligning with the goals of theoretical physics.
  • Questions arise about how a classical field theory like General Relativity (GR) can be unified with a quantum field theory like the SM within a single algebraic structure like E8, particularly regarding the role of the graviton.
  • Concerns are expressed about whether this theory addresses background dependence issues that are criticized in other unification attempts, such as string theory.
  • Distler argues that E8 may not be sufficiently large to accommodate three generations of fermions and that the presence of mirror fermions could undermine the model, which some participants believe is not adequately addressed in Lisi's paper.
  • There are references to ongoing discussions and critiques from Jaques Distler, with anticipation about his upcoming talk on the subject.
  • Some participants express interest in the mathematical implications of E8 and its connection to physical theories, noting the uniqueness of E8 among exceptional groups.

Areas of Agreement / Disagreement

Participants express a mix of agreement and disagreement, with some supporting Lisi's approach while others raise significant challenges and critiques. The discussion remains unresolved regarding the viability of the proposed unification and the criticisms it faces.

Contextual Notes

Participants highlight limitations in the current understanding of how the proposed unification reconciles classical and quantum theories, as well as unresolved mathematical questions regarding the structure of E8 and its physical applications.

Who May Find This Useful

This discussion may be of interest to those studying theoretical physics, particularly in the areas of unification theories, Lie algebras, and the interplay between quantum mechanics and general relativity.

  • #61
atyy basically answered my question, sorry I was vague marcus. I was simply referring to the non-renormalization of straight-forwardly quantizing GR (unless it turns out to be asymptotically safe). I was trying to sort out whether Lisi's approach addressed this problem at all since the renormalizability of stringy gravitons is one of the much publicized advantages of string theory.

I noticed on http://www.science20.com/quantum_diaries_survivor/garrett_lisis_new_e8_paper#comments" a lengthy discussion in the comments between Nesti and Motl. Lubos obviously thinks GraviGUT is "foolish" - do his criticisms have any merit? Nesti seems to have held his own as far as the back and forth goes, but I cannot really evaluate the strengths of the arguments made. Something about mixing diffeomorphisms and Yang-Mills groups.
 
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  • #62
No, they have no merit. You cannot trust him lately, he was even banned from posting on Jacques Distler's blog for not accepting being wrong, intellectually lazy and impolite.
 
  • #63
dpackard said:
I noticed on http://www.science20.com/quantum_diaries_survivor/garrett_lisis_new_e8_paper#comments" a lengthy discussion in the comments between Nesti and Motl. Lubos obviously thinks GraviGUT is "foolish" - do his criticisms have any merit? Nesti seems to have held his own as far as the back and forth goes, but I cannot really evaluate the strengths of the arguments made. Something about mixing diffeomorphisms and Yang-Mills groups.

There's another interesting discussion between Nesti and Distler and some others here:
http://golem.ph.utexas.edu/~distler/blog/archives/002140.html
 
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  • #64
atyy said:
There's another interesting discussion between Nesti and Distler and some others here:
http://golem.ph.utexas.edu/~distler/blog/archives/002140.html

Lubos lays out his arguments http://motls.blogspot.com/2010/07/why-there-is-no-gravigut-symmetry.html" . If I understand correctly, they're basically the same as Distler's.
 
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  • #65
No, they are not the same. Distler's calculations are clear and correct. The person you mention built a straw man. This post and thread on another physics problem are enlightening and keep that in your mind, since this is a subject that the person you mention worked on for years:

http://golem.ph.utexas.edu/~distler/blog/archives/002199.html#c032759
 
  • #68
Given that the SciAm article will force some revisiting to this paper, let me to add my doubt against spin(11,1) or generically against SO(10) unification models: that it does not fit in maximum supergravity with kaluza klein; SO(10) is the symmetry group of the 9-sphere, and thus it invites to 9 extra dimensions.

Or we can stick with maximum sugra plus SO(10) and a bidimensional space time... after all, bidimensional space times are very in the music of string theory and also of other quantum gravity approaches.

In fact I believe to remember, but I am not sure, that the first appearing of E8 in modern theory was by doing dimensional reduction down to tridimensional or bidimensional space time. For GUT theories, the natural unification was only up to E6.
 

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