Symmetries in Physics

This lecture delves into the comparison between the symmetries of classical mechanics and Maxwell's equations, highlighting the conflict that led to the development of special relativity. The instructor explores the historical context of the late 19th century, focusing on Galileo's principle of relativity and its implications. Through a detailed reading of Galileo's experiment on a ship, the lecture emphasizes the concept that motion is relative. The discussion then shifts to the search for a preferred frame of reference in the context of Maxwell's wave equations, ultimately leading to Einstein's groundbreaking revision of classical mechanics. The lecture concludes by addressing questions on current distribution in cables and the influence of AC versus DC current on penetration depth.