Painting, Baking & Non-Associative Algebra

Abstract

There are analogies of the complications encountered when using the Octonions or other non-associative algebras that occur in everyday tasks and extend to the syntax of human language.  The forced ordering and sequence of operations imposed by higher-order algebras is seen to be equivalent to its representations in these forms.  Tasks like painting and baking involve cycles of action in a certain direction, undertaken in stages, where a new stage of a process can be undertaken only once certain steps are completed.  I discuss briefly how this is exactly like octonion multiplication.  This has relevance in topics from Cosmology to Computing and beyond.