The idea of introducing an algebra of abstract vector variables (radial algebra) was inspired by the conception of geometric calculus proposed by Hestenes and Sobczyk and leads to the possibility to deal with the dimension of space as an abstract complex parameter. It also leads to the introduction of abstract manifolds and abstract analysis including vector derivatives, which leads to super-manifolds, Dirac operators on super-space, the Berezin integral and super-distributions. Also the delta distribution itself can be explained as the spatial projection of a rational function which exists on the level of abstract vector variables.

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