Friday, November 16, 2007

The new (possible) TOE

McCabism: An exceptionally simple theory of everything

Gordon McCabe clears up the situation with this new (yet to be tested, but possibly promising) theory of everything:
The diagram here represents the 240 roots of the Lie algebra of E8, each of which purportedly define a possible type of elementary particle. Every Lie algebra has a maximal commuting subalgebra, called the Cartan subalgebra. In each representation of a Lie algebra, the simultaneous eigenvectors of the elements from the Cartan subalgebra are called the weight vectors of the representation, and their simultaneous eigenvalues are called the weights of the representation. In the special case of the adjoint representation, (a representation of a Lie algebra upon itself), the weight vectors are called the root vectors, and the weights are called the roots. The roots uniquely determine a Lie algebra.
Err... yes, thanks Gordon for helping make that clear for the rest of us. (Or how about just telling us if it has any surprises regarding possible explanations for dark energy, dark matter, and the fate of the universe.)

UPDATE: if you want to see a physics blog where it is discussed in great detail, try this. Still hard (no, impossible) to fathom, of course.

UPDATE 2: hey, this is more like it. Go here and watch a lovely animation that gives a bit of a clearer overview as to what it is all about. It looks so pretty, I certainly hope it's true.

2 comments:

Sabine Hossenfelder said...

Or how about just telling us if it has any surprises regarding possible explanations for dark energy, dark matter, and the fate of the universe


Thanks for the link. The way the model is described in the paper, a cosmological constant (dark energy) is put in by hand. The way it is, this constant however is several orders of magnitude too large. If this was true, the fate of the universe had been decided a long time ago, and it would imply that we didn't exist, so there has to be something done about it. As with every GUT model, there is the possibility that it will contain a candidate for dark matter, typically the lightest stable partilce, weakly interacting and massive. Since the particle content isn't well examined yet it is hard to say. It seems unplausible to me that the colored scalar particles that Garrett has identified would make good candidates. Best,

B.

Steve said...

Thanks Bee, much appreciated!