Lecture Playlist

The Lorentz transformation

Adding velocities

Relativistic laws of motion and E = mc^2^

Classical field theory

Particles and fields

The Lorentz force law

The fundamental principles of physical laws

Maxwell's equations

Lagrangian for Maxwell's equations

Connection between classical mechanics and field theory
Professor Susskind begins with a review of space and timelike intervals, and explains how these intervals relate to causality and action at a distance. He then introduces spacetime fourvectors and fourvelocity in particular.
After presenting these concepts, Professor Susskind introduces relativistic particle mechanics. He presents the action principle for a particle in free space, and derives the Lagrangian for such a particle.
Building on these concepts, Professor Susskind derives the relativistic formulas for momentum and energy, and discusses relativistic mass, and how the conservation of momentum and energy are modified by relativity. He then shows the origin of Einstein's famous equation E = mc^{2}.
The lecture concludes with a discussion of massless particles under relativity.
 Relativistic particle mechanics
 More spacelike and timelike intervals
 Fourvectors and fourvelocity
 Relativistic action and Lagrangian for the motion of a particle
 Relativistic momentum and energy
 Derivation of massenergy equivalence: E = mc^2^
 Massless particles