Spacetime deployments parametrized by gravitational and electromagnetic fields

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, LaTeX2e, file macro "suppl.sty", correction in the definition of germs and local rings

Scientific paper

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.

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