Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-04
Physics
High Energy Physics
High Energy Physics - Theory
final version, title and text are changed
Scientific paper
10.1016/j.physleta.2006.02.058
The associators/antiassociators for the product of four non-associative operators are deduced. By analogy with SU(3) gauge theory the notion of colorless (white) operators is introduced. Some properties of white operators are considered. It is hypothesized that white operators do not give any contribution to corresponding associators/antiassociators. It is suggested that the observables in a non-associative quantum theory correspond to the white operators only.
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