- #106
- 24,775
- 792
CarlB said:Okay, I've got my E8 root rotating Java applet up, enjoy:
http://www.measurementalgebra.com/E8.html
I would guess the trouble I am having is special to my system. I tried twice and loading the applet failed both times. So all I get's a blank grey square field with a red X in upperleft corner.
Of course I'm too busy nailing this down as a preon theory to deal with fixing the rough edges in the above.
A short description of the boson / fermion situation, from the point of view of the roots drawn by the above program (and the ones listed in Table 9 of Lisi's arXiv paper).
The fermions carry quantum numbers of +-1/2, but there are an even number of +s (and therefore an even number of -s too). The bosons are then defined by the minimal changes between fermions.
That is, define a distance function on the fermions given by the sum of squares of the differences between the roots. The fermions have even numbers of +s and -s, so this means that two roots have to change. The change is from +1/2 to -1/2 or back. Thus the bosons are all the ways of choosing two quantum numbers out of 8, with those two quantum numbers being +1 or -1 independently.
This has preon model written all over it.
Thanks for the help on this. I am looking forward to the Java illustration when I get it working.