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Explore the frontiers of theoretical physics in this 56-minute conference talk by Luis Lehner from the Perimeter Institute for Theoretical Physics. Delve into the challenges and potential solutions for extending General Relativity, presented at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Examine the mathematical pathologies hindering the exploration of well-motivated extensions to General Relativity and discover a pragmatic approach to address these issues. Journey through topics such as strong preconceptions, secondary equations, scatter tensor theory, and conformal transformation. Gain insights into relativistic hydronium applications, spherical symmetry, and dynamics. Engage with thought-provoking concepts like "playing God" in theoretical physics and uncover the intricacies of heat equations and their solutions in this context.
