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Explore the fundamental principles of Einstein's Special Theory of Relativity through this comprehensive 13-hour 59-minute lecture series that systematically builds understanding from historical foundations to advanced mathematical formulations. Begin with the historical development including Galilean invariance, Maxwell's equations, and the pivotal Michelson-Morley experiment before diving into the core concepts of time dilation, length contraction, and relativity of simultaneity through carefully crafted thought experiments. Master the mathematical framework by deriving Lorentz transformations and applying them to solve problems involving relativistic velocity transformations, Doppler effects, and the famous E=mc² equation. Investigate the deeper implications of relativity including relativistic mass, kinetic energy, momentum, and force while discovering how magnetism emerges from relativistic effects. Progress to advanced topics including Minkowski spacetime diagrams, four-vectors, and their applications in proving relativistic phenomena like the Doppler effect and Compton scattering. Practice problem-solving techniques with examples from competitive physics examinations including GATE, TIFR, JEST, and CSIR-NET while exploring specialized concepts such as volume contraction, particle decay kinematics, and spacetime intervals. Conclude with an understanding of light cones, hyperbolic geometry in spacetime, and the fundamental differences between flat space and Minkowski spacetime, gaining both conceptual insight and mathematical proficiency in one of physics' most revolutionary theories.
