A New Geometry for Einstein’s Theory of Relativity

Mathematicians in Vienna, led by Roland Steinbauer, are developing tools to extend Einstein's general relativity beyond smooth space-time geometries. Their methods, using triangle comparisons and optimal transport, aim to calculate curvature and prove theorems in non-smooth settings, including black hole singularities. This work could provide a mathematical foundation for quantum gravity theories predicting discrete space-time at the smallest scales. The project recently received 7 million euros in funding.