Spacetime deployments parametrized by gravitational and electromagnetic fields
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On the basis of a "Punctual" Equivalence Principle of the general relativity context, we consider spacetimes with measurements of conformally invariant physical properties. Then, applying the Pfaff theory for PDE to a particular conformally equivariant system of differential equations, we make explicit the dependence of any kind of function describing a "spacetime deployment", on n(n+1) parametrizing functions, denoting by n the spacetime dimension. These functions, appearing in a linear differential Spencer sequence and determining gauge fields of spacetime deformations relatively to a "substrat spacetime", can be consistently ascribed to unified electromagnetic and gravitational fields, at any spacetime dimensions n greater or equal to 4.
26 pages, LaTeX2e, file macro "suppl.sty", correction in the definition of germs and local rings
26 pages, LaTeX2e, file macro "suppl.sty", correction in the definition of germs and local rings