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Lorentz Transformations | Special Relativity Ch. 3

minutephysics · Youtube · 58 HN points · 4 HN comments
HN Theater has aggregated all Hacker News stories and comments that mention minutephysics's video "Lorentz Transformations | Special Relativity Ch. 3".
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Go to http://brilliant.org/MinutePhysics for 20% off a premium subscription to Brilliant!

Mark Rober's youtube channel: https://www.youtube.com/markrober

The previous videos in this series:
Chapter 1: Why Relativity is Hard https://www.youtube.com/watch?v=1rLWVZVWfdY&
Chapter 2: Spacetime Diagrams https://www.youtube.com/watch?v=hTxWAQGgeQw

This video is chapter 3 in my series on special relativity, and it covers boosts, galilean transformations, newtonian relativity, and of course Lorentz transformations, the constancy of the speed of light, relative changes of velocity between inertial reference frames, etc - some of the stuff Einstein figured out. I introduce the mechanical minkowski diagram, aka mechanical Lorentz transformation, aka spacetime globe.

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Related minute physics videos:

https://youtu.be/Rh0pYtQG5wI

https://youtu.be/R5oCXHWEL9A

The whole intro to relativity series is worth a watch.

Just as there is a difference in perceived time there's also a difference in perceived distance. As it turns out these cancel out in a way that ensures the speed of light is the same for all observers. Together with the axiom that everyone agrees whether something travels in a straight line you can figure out most of special relativity.

It's somewhat hard to explain why this works without handwaving or just pointing to the maths, but the youtube channel minute physics at least has some good visualizations: https://www.youtube.com/watch?v=Rh0pYtQG5wI

walleeee
Thanks!
PBS Space Time on the same subject:

https://www.youtube.com/watch?v=1YFrISfN7jo

Minute Physics SpaceTime Globe (The best tool for understanding relativity I've ever seen.)

https://www.youtube.com/watch?v=Rh0pYtQG5wI

Aug 28, 2018 · 58 points, 10 comments · submitted by espeed
Ono-Sendai
I did a javascript version here if anyone wants to try the software equivalent :)

http://forwardscattering.org/post/36

qubex
The device works just by following/‘reading’ the pre-cut Lorentz-encoding grooves cut into the base of the device. There’s nothing computational going on in the grid of mechanisms. Replace the base with non-hyperbolic grooves and you’d get non-relativistic transformations. It just follows the template encoded for it.
db48x
No one ever claimed it was a general-purpose computer. Like all special-purpose computers, it performs a specific computation when used.
qubex
That’s actually a fascinating point because I both in one sense am not denying the device’s generality whilst in another sense indeed defending it’s generality: it might be said that I’m actually saying it’s general because you can run those grids upon virtually any engraved backplane while at the same time since reading off the backplane is all the device does I’d be arguing it isn’t general at all.

This is the mechanical analogue computer equivalent of a digital discrete computer’s bi-dimensional lookup table.

roywiggins
There's nothing computational going on in an ordinary globe either, but it also encodes a kind of rotation in its physical arrangement.

I think this is part of the point: that it's not much more complicated than an ordinary rotation.

stared
This is awesome! (More in the spirit of visualizing Special Relativity: https://www.testtubegames.com/velocityraptor.html)
Davidbrcz
I think I'm in love
drxzcl
Very accessible!
dukwon
A Lorentz transformation can be written as a rotation matrix using hyperbolic trig functions instead of regular ones. This machine works by having grooves in the shape of hyperbolic lines that the blocks follow.
antidesitter
Yup. Whereas rotations involve two spatial directions (the plane of rotation), a Lorentz boost involves a spatial direction and a temporal direction. Also, the analogue of a rotation angle for a Lorentz boost is a rapidity (hyperbolic angle).
If you want to understand relativity, I highly recommend this Minute Physics series! Watching the space/time globe actually gives you an intuitive sense of how it works! All the paradoxes disappear!

https://www.youtube.com/watch?v=Rh0pYtQG5wI

sjcsjc
Thank you. This is brilliant. I now know what Lorentz transformations are.

Also, I love the line: "Suppose the speed of cats is constant"

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