ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.

Tuesday, April 04, 2006

SU(3)

SU(3) is the symmetry of quark and gluon interactions.
It consist of 3*3 complex matrices with determinant 1.
SU(3) is in fact the symmetry of the 3D space.
Quark-Gluon symmetry determines the number of space dimensions.
Not surprising since atoms are balanced around heavy quarks.
In MSet language 3/2 is the number that corresponds to SU(3).
SM3=SE3/SH3=12/8=3/2
3 colors, 2 color/anti-color.
3 dimensions, 2 opposite directions.
3 inter-dependent complex numbers.
12 for the number of quarks, 6 quarks, 6 anti-quarks.
8 for the number of gluons.

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