Product associativity in scator algebras and the quantum wave function collapse

The scator product in $1+n$ dimensions for $n>1$, is associative if all possible product pairs have a non vanishing additive scalar component. The product is in general, not associative in the additive representation whenever the additive scalar component of a product pair is zero. A particular case of this statement is non associativity due to zero products of non zero factors. These features of scator algebra could be used to model the quantum wave function evolution and collapse in a unified description.

Keywords:

Commutative algebras, Hypercomplex numbers, Non associative algebras Quantum measurement problem,

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