An exterior differential calculus, based on Lagrangian-mollified weak derivatives and osculating vacua, is constructed for non-smooth causal variational principles, with cohomology, Stokes and Gauss theorems, and worked lattice and discrete examples.
van der Top, An Exterior Differntial Calculus on Non-Smooth Spaces , Masterarbeit Mathe- matik, Universit¨ at Regensburg, in preparation (2026)
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The $\mathcal{L}$-Calculus for Causal Variational Principles: An Exterior Differential Calculus on Non-Smooth Spaces
An exterior differential calculus, based on Lagrangian-mollified weak derivatives and osculating vacua, is constructed for non-smooth causal variational principles, with cohomology, Stokes and Gauss theorems, and worked lattice and discrete examples.