Derivation of Lorentz transformation

Classical Mechanics and Relativity: Lecture 15

Theoretical physicist Dr Andrew Mitchell presents an undergraduate lecture course on Classical Mechanics and Relativity at University College Dublin. This is a complete and self-contained course in which everything is derived from scratch.

In this lecture I introduce Einstein's postulates of Special Relativity, and from them construct explicitly the Lorentz transformations between inertial reference frames. This generalizes the Galilean transformations to the case of relative velocities which are not small compared with the speed of light. We will see the relativity of simultaneity appear quite naturally from first principles.

Course textbooks:
"Classical Mechanics" by Goldstein, Safko, and Poole
"Classical Mechanics" by Morin
"Relativity" by Rindler

[ustham]

This is the best you can get, really enjoy all your lectures

[tanelgulerman]

Hello Dr Mitchell, I hope this message finds you well.
I believe you have unlisted these videos. It might be hard to find them again in the future. Can you make them permanent again?
Thank you and I am glad for these lectures.

[soumyadipbanerjee]

In 22:34 we calculate the trajectory of B, but if A and B are at rest in the s frame and we are drawing the space-time diagram with respect to the s frame, how come B even has a trajectory? Shouldn't it always remain at x=2d? I think A, B and C are all moving and we are in the rest frame, because only then the space-time diagram makes sense.