EPISODE · Jul 17, 2025 · 14 MIN
Beyond Smooth Spacetime: A New Geometry for Relativity
from Intellectually Curious · host Mike Breault
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.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.Sponsored by Embersilk LLC
What this episode covers
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 foll...
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Beyond Smooth Spacetime: A New Geometry for Relativity
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