Hamilton's equations in a non-associative quantum theory
Abstract
A new non-associative algebra for the quantization of strongly interacting fields is proposed. The full set of quantum ()associators for the product of three operators is offered. An algorithm for the calculation of some ()associators for the product of some four operators is offered. The possible generalization of Hamilton's equations for a non-associative quantum theory is proposed. Some arguments are given that a non-associative quantum theory can be a fundamental unifying theory.
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