Finite element and numerical methods over 4d space-time is a topic of interest for elastodynamics right now. Do you think it is desirable to establish a geometry/CAD system for space-time involving simulations? Here is a great paper on the numerical methods, integration, and FEM on the space-time
Post Closed as "Not suitable for this site" by Carlo Beenakker, David Handelman, Will Sawin, Stefan Waldmann, Friedrich Knop