Lorentz-Minkowski Spacetime

This lecture introduces the concept of Lorentz-Minkowski spacetime, a pseudo-Riemannian manifold of dimension 1+d with a quadratic form defining the spacetime interval. It explores the interpretation of the speed of light as the maximum propagation velocity of a signal in interactions, and the concept of spacetime intervals. The lecture also covers the Lorentz group, isometries, and the principle of special relativity. The instructor discusses the causal structure of events, the invariance of physical quantities under Lorentz transformations, and the concept of spacetime intervals for different types of events.