Mathematicians solve E8 structure

[maddog]

I was curious if anybody had noticed this news tidbit.

 

Mathematicians solve E8 structure (Update)

AIM math: Representations of E8

 

I am very fascinated with this group and it's association with the

string theory and links to Supersymmetry and Supergravity.

 

Another topic would be Lie Groups, Lie Algebras - named after Sophus Lie.

 

I am as fascinated with this algebraic structure as I am contemplating the

relationship of E8 and Octonions to Tensor Algebra (and all that goes with it).

 

Hell, I am still struggling to understand Tensor Algebra !!!

 

maddog :beer: :) :)

[Tormod]

It was conceived by a Norwegian, of course. :beer:

[maddog]

Tormod,

 

Are you saying that Sophus is in your common ancestry ? ;-)

 

maddog

[Turtle]

I was curious if anybody had noticed this news tidbit.

 

Mathematicians solve E8 structure (Update)

AIM math: Representations of E8

 

I am very fascinated with this group and it's association with the

string theory and links to Supersymmetry and Supergravity.

...

maddog :naughty: :eek_big: :eek_big:

 

We have a few threads on E-8. The 'surfer dudes' TOE on E-8 that I linked to at the end of my post to this article, has since failed to satisfy. >> http://hypography.com/forums/general-science-news/10841-a-mathematical-solution-for-another-dimension.html

Garrett Lisi: This surfer is no Einstein... - Telegraph

[Racoon]

I thought E-8 structure had to do with the European Union.. ?

[maddog]

Racoon,

 

I thought E-8 structure had to do with the European Union.. ?

 

You might be thinking of G-8... ;-)

 

maddog

[maddog]

Turtle,

 

We have a few threads on E-8. The 'surfer dudes' TOE on E-8 that I linked to at the end of my post to this article, has since failed to satisfy. >> :)

Garrett Lisi: This surfer is no Einstein... - Telegraph

 

Your first link I already read. I will read this second one. The group E8 is

one I am also interested from a physical point of view. In addition what

interests me is how there only so many normed algebras (according to

Froebenius) being the set of

 

{R, C, H, O} where R = Reals, C = Complex, H = Quaternions, O = Octonions

 

Algebras formed of Quaternions are anticommunative and are isomorphic to

Vector algebra. Likewise Octonians are antiassociative and are isomorphic

to Tensor algebra. The group E8 is one of the three Alternative algebras

that associate with Octonians and Lie Algebras.

 

maddog

[Turtle]

Turtle,

 

Your first link I already read. I will read this second one. The group E8 is

one I am also interested from a physical point of view. In addition what

interests me is how there only so many normed algebras (according to

Froebenius) being the set of

 

{R, C, H, O} where R = Reals, C = Complex, H = Quaternions, O = Octonions

 

Algebras formed of Quaternions are anticommunative and are isomorphic to

Vector algebra. Likewise Octonians are antiassociative and are isomorphic

to Tensor algebra. The group E8 is one of the three Alternative algebras

that associate with Octonians and Lie Algebras.

 

maddog

 

 

Wow! I did a little reading on octonians at wiki, and while the specifics exceed my knowledge, my general impression is the similarity to what I have recently read in Synergetics.

 

... 000.127 Nature is inherently eight-dimensional, and the first four of these dimensions are the four planes of symmetry of the minimum structure of Universe-the omnitriangulated, equi-vector-edge tetrahedron.

... and ...

000.128 Nature is using this completely conceptual eight-dimensional coordinate system that can be comprehended by anyone.

 

Anyway, here's the post I quoted from: >> Synergetics. If you haven't seen that thread yet Maddog, by all means have a look as I have just started and I'd be pleased to hear your take on Synergetics. :hihi: :singer: