Exploring Generalizations of Clifford Algebra

Some possible extensions to standard geometrical algebras (Clifford algebra) are explored. Three type of extensions are considered, namely, Dimensions of Zero extent, Bosonic vectors, and Higher cycling vectors. The unnatural interpretations that would result from these extensions show the uniqueness and usefulness of the usual Clifford Algebra rules. Nevertheless, situations might arise in which it might be possible for the extensions to have physical significance. Most promising appears to be bosonic vectors.