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A New Geometry for Einstein's Theory of Relativity

Kunzinger and Sämann wanted to use their new way of estimating curvature to determine whether these singularity theorems would still be valid if they no longer assumed space-time is smooth. Would singularities persist even in rougher, more realistic-looking spaces? It’s important to find out if the smoothness condition can be waived, Sämann said, because doing so would bring the theorems closer to physical reality. After all, he added, “we believe non-smoothness is an inescapable part of the nat