Proper Time: Lorentz Transformations

This lecture covers the concept of worldlines in physics, focusing on the equations describing the system's motion and the challenges posed by Lorentz transformations. It explains the need to express coordinates in terms of proper time, discusses the conditions for the existence of worldlines, and introduces the concept of rest frames. The lecture also delves into the calculation of proper time intervals between events along a worldline, emphasizing the invariance of spacetime intervals. Additionally, it explores the relationship between inertial reference frames and the measurement of time in different frames, highlighting the importance of understanding proper time in relativistic physics.