Causal Structure of Spacetime

This lecture covers the causal structure of spacetime in the context of special relativity, focusing on the concept of the relativistic interval s² and Lorentz transformations. It explores the implications of s² being equal to, greater than, or less than zero, and how these conditions relate to the spatial and temporal coordinates of events. The lecture also discusses the invariance of spacetime under translations and how this leads to a repetition of causal structures for different events. Additionally, it delves into the idea of events being in each other's causal past or future, based on the values of s² and the spatial coordinates. The presentation concludes with the concept of observers with uniform velocities and their perceptions of causality in spacetime.