M.,"A topological theory of the Physical Vacuum

DRAFT3 Shipov’s concept of a "Physical Vacuum " is extended to include sets that do not require the global features of "Absolute Parallelism". The theory is developed in terms of vectors and matrices of exterior differential forms, which permit the topological coherent structures of fields and particles that make up a "Physical Vacuum", as well as their topological fluctuations, to be readily evaluated in terms of a more or less "universal " theory. The sole requirement is that the "Physical Vacuum " be defined as a vector space of infinitesimal linear neighborhoods whose points admit a vector Basis Frame, as a matrix of C2 functions with non-zero determinant, to be defined over the domain of the "Physical Vacuum". The topological universality of a Basis Frame over infinitesimal neighborhoods can be specialized by particular choices of a subgroup structure. Such specializations appear to include the field structures of all four forces, from gravity fields to Yang Mills fields.