English

Hamilton's equations in a non-associative quantum theory

High Energy Physics - Theory 2007-05-23 v1 Rings and Algebras Quantum Physics

Abstract

A new non-associative algebra for the quantization of strongly interacting fields is proposed. The full set of quantum (±)(\pm)associators for the product of three operators is offered. An algorithm for the calculation of some (±)(\pm)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.

Keywords

Cite

@article{arxiv.hep-th/0602047,
  title  = {Hamilton's equations in a non-associative quantum theory},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:hep-th/0602047},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T15:34:38.807Z