Understanding Special Theory of Relativity

Explains frames of reference, Galilean transformation, and the invariance of Newton's laws in constant-velocity inertial frames, contrasts with Maxwell's equations, and introduces the principle of relativity.

Shows how the Michelson–Morley experiment used an interferometer to test light-speed invariance, concluding light travels at the same speed in all media and in all inertial frames.

Explore the two core postulates of special relativity, show why physical laws are invariant in all inertial frames, and derive the Lorentz transformation from light-speed invariance.

The lecture presents a numerical Lorentz transformation with a rocket moving at 0.6 c to show time dilation between rocket and Earth frames, including pulse timing and low-velocity limits.

Explore time dilation using thought experiments and Lorentz transformation, distinguishing proper time from improper time and linking them via gamma.

Understand how length contraction arises when measuring distances from moving frames and how simultaneity becomes relative, with thought experiments about moving boxes and doors.

Explore how velocities transform between frames of reference in relativity, showing that x, y, and z components do not simply add and depend on c and gamma.

Explore how relativistic mass and momentum differ from newtonian concepts, illustrate conserved momentum with rest mass vs moving mass, and derive relativistic momentum and velocity addition in moving frames.

Derive the relation between relativistic mass, momentum, and work to reveal the energy-mass equivalence. Explain how rest energy and kinetic energy fit into E=mc^2 and how total energy remains conserved.