Lorentz Transformations in Special Relativity

This lecture covers the concept of Lorentz transformations in special relativity, focusing on events, spacetime coordinates, and the speed of light. It explains how events are simultaneous or equidistant for different observers, and how coordinates transform between frames of reference. The lecture also discusses the reflection of light signals between observers in relative motion, leading to the derivation of Lorentz transformations. Through Thales' theorem, the lecture demonstrates the equivalence of speeds measured by different observers. It concludes by presenting the Lorentz transformations equations and their implications in spacetime geometry.