Relativistic Invariants

This lecture introduces the concept of relativistic invariants, highlighting that distances and time intervals between events depend on the observer in Lorentz transformations. However, the speed of light remains constant for all observers. The search for other invariant quantities is explored, focusing on the invariance of the light speed and the independence of certain event quantities from the observer. The lecture concludes by discussing the preservation of a specific quantity under Lorentz transformations and delves into the algebraic aspects of linear transformations. The lecture also extends the concept to 1+3 dimensions, defining the relativistic interval and the properties of Lorentz transformations.