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arXiv 2006-02-05 0 views

Hamilton's equations in a non-associative quantum theory

Dzhunushaliev, Vladimir

Original · EN

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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