Observables and unobservables in a non-associative quantum theory

Vladimir DZHUNUSHALIEV

Abstract

It is shown that the non-associative operators in a non-associative quantum theory are unobservables. The observable quantity may be presented only by the elements of some asso- ciative subalgebra. It is shown that the elements of the associative subalgebra are extended objects that can be similar to strings. It is assumed that the non-associative quantum eld theory can be applied to the quantization of strongly interacting elds. The method for obtaining eld equations in a non-associative case is given.