This project aims to explore and interpret new physics at the high energy frontier with innovative new calculations and computational techniques and to confront new physics ideas with all relevant data. Cutting edge techniques and new software will be developed that are applicable to arbitrary new physics models and employed to make the first predictions in many new models. This will dramatically expand the set of new ideas that can be rigorously scrutinised using data from collider and astrophysical experiments. This may shed light on fundamental physics questions like the origin of dark matter and why the Higgs mass is so light. Revealing answers to these questions will expand our understanding of nature at the most foundational level.