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1. Minkowski Metric Tensor

   Linked via "algebraic geometry"

   Relation to the Poincaré Group
   The Minkowski metric tensor is intrinsically linked to the structure of the Poincaré group, which encompasses both the Lorentz transformations (rotations and boosts) and the spacetime translations $P^\mu$. The metric defines the quadratic Casimir invariant of the Lie algebra associated with the Poincaré group, demonstrating its role in classifying…