Beyond Smooth Spacetime: A New Geometry for Relativity

In this Deep Dive, we explore how mathematicians are pushing Einstein's general relativity past the requirement of smooth spacetime. Learn how triangle-based estimates of sectional curvature, time-oriented distance, and optimal transport techniques are giving us a robust toolkit for describing gravity where spacetime is jagged—inside black holes, near singularities, and in the early universe. Meet the researchers behind the breakthroughs—Seaman, Kunzinger, Alexander, Graf, and McCann—and follow their unlikely collaboration from a chance flight to a new geometric language for relativity.

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