Zur Frage einer physikalischen Verwendbarkeit nichtassoziativer Algebren

Abstract

Having proposed in another article to try whether the mathematical theory of nonassociative algebras may be a suitable tool for a generalisation of existing quantum theory (towards a new theory ascribing to the elementary lengthl a similarly fundamental meaning as to the constanth), the author studied the mathematical laws of the so called Lie triple algebras, in order to get information about the simplest mathematical generalisations of power associative algebras. The chief results of this mathematical study are shortly reported here.