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?
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.
13:48 I have a mistake. The spacetime interval is defined dS^2 = cdt - cdx sorry about that.
I enjoyed your video - thank you! :-) To clarify, the invariant spacetime interval at 13:48 actually should read ds^2 = (cdt)^2 - (dx)^2... ;-).
@@spinhalflight8153 yea stupid mistake thanks :)
The clearest explanations on Youtub. Grazie mile!
Thank you for clear explanations. I particularly liked the visualizations of the Lorentz Transformations.
Well made, presented videos, thanks man...please keep posting...
thanks, men means a lot :)
Thanks, great video !!! 🤩🤩🤩
Thanks men :)
Lorentz Transformation is Rotation of quantum particle by its "inner spin" (through a specific / hyperbolic angle) in the 4D spacetime coordinates
so the reason why we took covariant and controvariant component is because of the way which the minkowski spacetime diagram transform under a boost?
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?
Great video thanks :)
Can you make a video on how worldline rotate in spacetime diagram,it will help alot
Very clear
Very good
thanks!
I was with you upto 06:45
no, I am a maths student but still upto that time, shameful 😓
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.
You make great videos but this one definitely needs improvement