Currentsformalism
Currentsformalism is a framework in differential geometry and mathematical physics that uses the theory of currents to model distributions of physical quantities and their flows. In this approach, physical densities and fluxes are encoded as generalized currents, enabling a unified treatment of smooth and singular sources within a single formalism.
Mathematically, an r-current is a continuous linear functional on the space of smooth, compactly supported differential
Currentsformalism builds on geometric measure theory, notably the theory of currents developed by Federer and Fleming.
Typical examples include point-like sources represented by 0-currents (Dirac measures), line currents by 1-currents along a
Advantages include the ability to model singular sources and to work with weak convergence in a geometric