Garrett's article in SciAm December issue

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In summary: I forget.)In summary, Garrett Lisi has a new theory which is not stringy and is being called a "theory of everything". It is up to him to fix the problems and he has been looking for a geometric set up to make E8 work.
  • #71
MTd2: I answered your same question on Peter Woit's blog: "When I am talking about E8 triality I am talking about the triality outer automorphisms of the so(4,4) and so(8) subalgebras, and the corresponding inner automorphisms of E8.” Asking in two places still gets the same answer. ;)

Orion1: Good question. I don't know how the doublet-triplet problem will be solved -- I'm hoping the answers come if or when we figure out how masses work in general. And, yes, it will be fun if we see some X bosons soon.

MTd2: I don't want to try and use preons yet -- they're an additional layer of complication. But, yes, if I get desperate this is a decent idea.

jal: A cool thing about EPE is that, since we're using a linear projection down to 2D, all the particle interactions you see still have to balance.
 
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  • #72
E6 x su(3)...


[PLAIN]http://home.comcast.net/~lambo1826/physics/038_0003.jpg
[tex]SU(4) \times SU(2)_{L} \times SU(2)_R[/tex]
[URL]http://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/E6Coxeter.svg/300px-E6Coxeter.svg.png[/URL]
[tex]E_6 \times SU(3)[/tex]

I noticed that the Garrett Lisi [tex]E_8[/tex] model predicts only two new particles based upon seven charge dimensions, however the Pati–Salam model predicts eight new particles, (three Higgs bosons, one electroweak Higgs boson, one singlet, two mass particles, one sterile neutrino), and the Standard Model predicts only one Higgs boson, none of which has ever been detected in any particle detector experiment.

The next higher superset above the Standard Model must predict these eight new particles, instead of two, in order to mathematically qualify as a Pati–Salam model, should they not?

What is the reason for this discrepancy?

Is the Garrett Lisi [tex]E_8[/tex] model based upon [tex]E_6 \times SU(3)[/tex] instead of [tex]SU(4) \times SU(2)_{L} \times SU(2)_R[/tex]?

Mathematically these are not the same?. One is the Pati–Salam model and the other is not?

Is this subset correct?
[tex]E_8 \supset E_6 \times SU(3)[/tex]

Does the Garrett Lisi [tex]E_8[/tex] model break symmetry as this?:
[tex]E_8 \rightarrow E_6 \times SU(3) \rightarrow SU(3) \times SU(2) \times U(1)[/tex]

According to Wikipedia, the [tex]\frac{E_6 \times SU(3)}{SP(8)}[/tex] model predicts two graviton singlets.

Reference:
http://home.comcast.net/~lambo1826/physics/Slansky01.pdf"
http://en.wikipedia.org/wiki/Gauge_theory"
http://en.wikipedia.org/wiki/Standard_Model"
http://en.wikipedia.org/wiki/Pati%E2%80%93Salam_model"
http://en.wikipedia.org/wiki/E6_%28mathematics%29"
https://www.physicsforums.com/showpost.php?p=2997945&postcount=59"
 
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  • #73
The December issue of SciAm finally hits Newstands tomorrow.
For those of us who don't have online subscriptions, the mystery will be over, plan to stop at Barnes and Noble on way home from work to pick up a copy.

Rhody... :cool:
 

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