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In General Relativity and Quantum Gravity, diffeomorphism often called diffeomorphism invariance or general covariance is an isomorphism of differentiable manifolds that defines the physical nature of spacetime. Rather than a mathematical tool, diffeomorphism is a smooth, bijective (invertible) mapping between two open sets where both the function and its... inverse are continuously differentiable, ensuring that not only are the spaces homeomorphic (topologically equivalent), but they also share the same basic regarding calculus/differentiation. Diffeomorphism ensures that the equations of physics are independent of the coordinate system used, preserving the fluid structure of warped or deformed shapes without tearing, ripping, or creating holes. 🔗show more

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