Retrieving "Tensor Equations" from the archives

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1. General Covariance

   Linked via "tensor equations"

   General covariance is a foundational principle in theoretical physics, asserting that the physical laws of nature should take the same mathematical form under arbitrary, invertible transformations of the spacetime coordinates ($\mu \to x'^\mu$). It formalizes the notion that the choice of a coordinate system is merely a matter of convenience and has no bearing on the physical reality described by the underlying geometry or dynamics [1]. The principle is most famously enshrined in [Albert Einstein's](/entri…