Optical Effects of Special Relativity



Uploaded by: BrunoTheQuestionable
Video Description:
The video shows photorealistic representations of reduced c scenes. This means that the speed of light has been slowed down from over one billion kilometres per hour to a speed of only one meter per second. The consequences of this fiction have been restricted to optical effects, and allows us to see special-relativistic effects not possible in everyday life.
The first scene is a trip down a highway without any relativistic effects. Note the position and orientation of the structures in the desert.
For the next trip, we enable relativistic aberration. As we accelerate, note that the angular compression creates an initial impression of backwards motion. As we pass the sign, it seems to rotate around. This can be viewed as a Terrell rotation, or as angular aberration keeping the sign in our field of view as we pass it. The back walls of the building are also visible, and extreme distortion is visible on all the objects. Note particularly the sky, steadily shrinking down to the vanishing point.
We now enable Doppler shifting. Note that the red desert is blue-shifted ahead through the green and red, causing a rainbow effect. As the blue of the sky is further blue-shifted, it drains of colour. Near the edges of the image, the opposite happens - the sky takes on a reddish hue and the road is drained of colour as the red desert shifts into the infra-red.
With full relativistic effects (now including the headlight effect) the image quickly turns monotone, with objects near the edge of the screen darkened, and the centre brightly illuminated.
The Terrell effect can be illustrated with this flyby of a cube. Note the orientation of the cube change. Also compare it's apparent position with the position indicated on the HUD map. Remember, we are seeing the cube as it was, not as it is.
If we instead fly through the cube, the structures Terrell rotate independently, seeming to turn the cube inside out. Note that even when we have exited the back of the cube, aberration keeps most of it in view.
Another property of aberration is that it preserves circles - that is, a sphere will always present a spherical outline to any observer regardless of their relative motion. We see this demonstrated by flying a camera around the Earth at high speed. Though the camera is very close to the surface, aberration wraps the Earth into our forward field of view. But because we are so close to the earth, we can see only a small portion of its surface - so small regions, about the size of Borneo seem to bulge out and fill the sphere.


Tags for this video: Effects Optical Relativity Special

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Why do you call it ... ( 1 month ago by LeonSzillard)
Why do you call it terrell rotation. Terrell was definitely not the first to notice time of flight causes apparent rotations/distortions. You should try to expunge some of this nonsense from your mind if you want to think clearly while writing a paper never written before.
I only insult patronising people who attempt to talk down to me. ;-)
Anyway, nice 'talking' to you mr talking textbook man
I'm sorry you feel ... ( 1 month ago by TheCrazyCello)
I'm sorry you feel I'm making a personal attack on you. I assure you I'm only trying to be courteous and professional, and to elucidate concepts of the theory for other youtube members.
I apologise for referring to the Terrell rotation as such, I'm merely using the standard academic term, I could refer to it as the Penrose effect if you wish. In fact I don't really like to refer to Einstein's STR, considering most of the philosophy and maths behind was due to Lorentz and Poincaré... :)
I think you'll find ... ( 1 month ago by LeonSzillard)
I think you'll find they are really the same thing. Just distortions in perception caused by the time of flight for light.
The only minor difference is the lorentz contraction in the direction of motion for relativistic treatment. But some people like making up meaningless names for things that don't really tell us anything that we didn't already know ;-)
Again I'm sorry if ... ( 1 month ago by TheCrazyCello)
Again I'm sorry if I seem rude at all, I just felt it's better to avoid being overly personal, purely to avoid this situation! I hope you don't feel insulted.
Well yeah, the ... ( 1 month ago by TheCrazyCello)
Well yeah, the problem is also a human one, we try and separate a physical effect into components we understand, usually on a historical basis... hence aberration, doppler shift etc. Translating these concepts from a 3-D geometric manifold with one set of transformations to a 4-D manifold with a completely new set is always going to yield conceptual problems!
.. and of course, ... ( 1 month ago by TheCrazyCello)
.. and of course, the relativistic aberration effect reduces approximately to the classical in the limit of low speeds. Although I find the relativistic solution to be far more elegant, I suppose the true test of a theory!
Array ( 1 month ago by LeonSzillard)
Yawn
Now you're typing absolute garbage about 4-D manifolds that dont relate to this video in any way shape or form.
What exactly are you trying to achieve with this crap?
I was merely ... ( 1 month ago by TheCrazyCello)
I was merely agreeing with you. Special relativity describes a 4-D geometric manifold, it's from this geometry that the effects described in the video originate. As I've said before I'm not here to acheive anything than add information to the video, for anyone watching who may be interested. I don't think this is the place for a private discussion of my motives, perhaps a private message would be more appropriate.
Woah. :-) ( 1 month ago by felicity4711)
Woah. :-)
OK, it does has 4 ... ( 1 month ago by LeonSzillard)
OK, it does has 4 dimensions I guess, but SR spacetime is almost always visualised as a 2D space, not 4D. (Humans have a limited intelligence to play with I guess, even 2D spacetime was confusing to people like Einstein)
but in any case this video is mileading. I think the distortions are in fact more prevalent witout relativity theory. The effects are not caused by special relativity at all.
Special relativity ... ( 1 month ago by gwarkan)
Special relativity and general relativity are classical theories. Quantum mechanics not classical. Have I been mislead? Were talking about relativity right?
aren't aboject ... ( 2 weeks ago by fragm3nted)
aren't aboject moving near the speed of light supposed to shring in length in the direction they are moving in the observer's eyes?
so wouldnt the house and the road the observer is flying by shring to like 10% of its length
nope, you actually ... ( 2 weeks ago by stocktrader5555)
nope, you actually stretch when you near the speed of light... Also there is time dialation occurs. Where your clock is moving slower than a stationary clock... Wierd huh!
What really trips ... ( 2 weeks ago by stocktrader5555)
What really trips me out is that, according to Special Realativity, we are traveling at the speed of light if you take the light as a observing point. so that is passing light is stationary and we are passing it at the speed of light... Crazy!
We have to remember ... ( 2 weeks ago by TheCrazyCello)
We have to remember that Lorentz length contraction is a mathematical phenomenon, not an optical one. Yes we have ways of measuring length contractions, but actually seeing them with our own eyes is problematic. The effect of aberration was known before the theory of special relativity, it is a consequence of the finite speed of light, which leads to an apparent visual lengthening of objects moving at speeds comparable to that of light.
Even more ... ( 2 weeks ago by TheCrazyCello)
Even more complicated is the apparent "rotation", which is due to the observer "catching up" with light leaving the back walls of objects. Of course, the formulation of the aberration effect is slightly different in Special Relativity than in classical optical theory but the concept is the same.
Unbelievable!!! ... ( 1 week ago by Hotmealssus)
Unbelievable!!! nuff said....
garbage. time of ... ( 1 week ago by LeonSzillard)
garbage. time of flight only lengthens the images of objects travelling towards you. those travelling away will look shortened
Excuse me? I'm ... ( 1 week ago by TheCrazyCello)
Excuse me? I'm referring to the video, where as you can see, the objects are approaching. I think you should probably read up on nettiquete. It isn't considered acceptable to sit behind a faceless internet account and throw words like "yawn" and "garbage" at people you have never met.
you simply don't ... ( 1 week ago by patandjoan)
you simply don't get it, do you
I think you'd do better expalining why there's no length contraction in this video if you'd just admit the effects being displayed actually have nothing to do with special relativity. simple
I already pointed ... ( 1 week ago by TheCrazyCello)
I already pointed that out in a previous post:
"The effect of aberration was known before the theory of special relativity, it is a consequence of the finite speed of light... "
Similarly there is a classical analogue to doppler shifting. However these are quantitatively different from the result derived from STR, although being qualitatively the same. This is a subtlety that can't be demonstrated in a video however...
4-Doesn't that mean ... ( 10 hours ago by conchalavand)
4-Doesn't that mean that the observer should see that the space of the moving frame would dilate rather than contract?
Doesn't the time dilation occurs exactly becuse of this dilation of space? (as the speed would travel at the same speed but through a larger disantce).
The only way in wich I can work time dilation out is as an optical illusion wich everything says that is not.
Please Help.
3-I know that this ... ( 10 hours ago by conchalavand)
3-I know that this is true: In the stairs paradox they show that this contraction is real and not an opptical illusion (while closing the doors of the box at the same moment).
But I can't work it out in that way, beacuse when you imagine the other experiment, the one with the beam of light bouncing between two mirrors then you see that the observer sees the other guy's clock moving through a larger path (diagonally rather than vertically).
1- (PS: never mind ... ( 10 hours ago by conchalavand)
1- (PS: never mind about the numbers, I made a mistake in the next message and put four it should say 2, but they're in order) I'm sorry to be a pain in the ass, but I'm trying to understand Special relativity from thoughts experiments, and I have always been puzzled by the length contraction. My idea was that it should go in the same way that your video shows. Now that I'm beggining to get a grasp this confuses me. You say that this does not show this relativistic effect, I get that.



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