The Lorentz Transformations - Intuitive Explanation

In this video, I want to build your intuition for the famous Lorentz transformations. I will talk about what coordinate transformation is in general (active and passive transformations). I will apply it on Galilean transformations and show how passive Galilean transformations look like. Ultimately we will discuss Lorentz transformations, How the passive coordinate transformation looks like, how they differ from rotations in Euclidian space, what is the spacetime interval and how to make sense of it in the real world.

Special thanks to

background

[lukasrafajpps]

13:48 I have a mistake. The spacetime interval is defined dS^2 = cdt - cdx sorry about that.

[macfrankist]

The clearest explanations on Youtub. Grazie mile!

[abridgetool]

I was with you upto 06:45
no, I am a maths student but still upto that time, shameful 😓

[fatihmercan]

Thank you for clear explanations. I particularly liked the visualizations of the Lorentz Transformations.

[TheJara]

Well made, presented videos, thanks man...please keep posting...

[nicolabellemo]

so the reason why we took covariant and controvariant component is because of the way which the minkowski spacetime diagram transform under a boost?

[nickbe]

So the reason why we take covariant and contravariant components of vector in relativity is due to the way which the space time diagram is squeezing after a transformation?

[israelsadovnik]

Lorentz Transformation is Rotation of quantum particle by its "inner spin" (through a specific / hyperbolic angle) in the 4D spacetime coordinates

[minhaskhan]

Can you make a video on how worldline rotate in spacetime diagram, it will help alot

[Tom-spgy]

You make great videos but this one definitely needs improvement

[mpcformation]

No these are not Lorentz transformations, but Poincaré ones. Poincaré who corrected before proving them, the correct transformations that Lorentz exhibited originally incorrectly. Heavily incorrect. Those Poincaré are the one we use now, since.