Lorentz Invariance and Covariant Tensors

This lecture covers the Lorentz invariance of the Minkowski metric and its inverse, Lorentz transformations of current and potential 4-vectors, and the general discussion on contravariant and covariant tensors. It also delves into the addition of velocities, time dilation, Lorentz boosts, and Lorentz contraction. The latter part of the lecture focuses on charge conservation, the covariant formulation of electrodynamics, and the transformation of electromagnetic potentials. The concept of contravariant and covariant tensors in vector spaces is explained, emphasizing the implications of linear transformations and basis changes.