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The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.
0
votes
Terrell "rotation": should wikipedia be corrected?
Terrell "rotation" works conveniently as a description for spherical objects only. The effect of seeming to see "behind" things that are "in front" of you is a simple combination of two things:
You …
-1
votes
What will happen in a twin paradox like situation if acceleration is not involved?
Acceleration is absolutely not necessary to understand the "Twin Paradox". Furthermore, it is a significant impediment to understanding the "Twin Paradox". The "Twin Paradox" is a great example of a …
1
vote
Relativistic spaceships moving towards each other
Draw a spacetime diagram with the two spaceships approaching the origin (your equidistant point) at 0.5c. Read off from that diagram the (equal) elapsed proper times ($\tau^2 = t^2 - x^2$) for each s …
2
votes
Is there a triplet paradox analogous to the twin paradox?
No.
The twins "conundrum" (I don't even want to call this FAQ a "paradox" any more!) is simply there to teach students that different paths through spacetime give different results in general. There …
2
votes
On a relativistic merry go round, who ages faster — rider or observer?
The person who travels always ages less the the one who does not. That is the only answer in Special relativity. Learn about the spacetime interval.
2
votes
Approaching speed of light: why do objects appear further away in front of me?
There is a difference between what "happens", described by the Lorentz Transformations, and what you see with incoming light beams, which is heavily influenced by differing light delay times from part …
2
votes
Accepted
Is it possible to see the back of an object traveling at relativistic speeds?
In a word: no.
When you appear to "see around" an object in SR visualizations, you are seeing exactly the same parts of it as you would if you were stationary, but the object is projected further forw …
2
votes
Terrell-Penrose effect and surface reflectance
Concentrate on the nearest top die on the right. The reason you can see the "four" face is that you have already passed the "one" face of the die! It is just that aberration has distorted the image …
2
votes
The effect of Special Relavity's Time Dilation on Rocket propulsion
There is a very old but fantastic article on precisely this subject - the Relativistic Rocket. I don't think I can really add much to the Great Man's words, so just read and enjoy.
1
vote
Accepted
When Rindler co-ordinates are drawn why are accelerated obserevers drawn in an area implying...
There is no specifically forbidden "region" in a real spacetime diagram in SR.
If you look at the accelerated world line, it starts nearly vertical, and "tilts" over as speed increases, but never gets …
0
votes
Watching a live stream in spaceship traveling away from earth close to speed of light
I have made some videos of the twin paradox from the traveller's point of view (i.e. first person) here. I'll post the channel notes here to add a bit of substance, I would appreciate feedback and co …
2
votes
Is there a space-like equivalent of the Twin Paradox?
It is simply this: the one who takes the "direct" route between two locations will register a smaller distance traveled than one who goes via a third location.
2
votes
Accepted
Is the speed of light constant even for an object which is accelerating?
No, as the object would be in a non-inertial frame of reference.
1
vote
Accepted
Terrell rotation with doppler shift on relativistic dice
OK as requested I am going to attempt an answer, for better or worse!
I have made some videos here that illustrate this distortion, but they might be a little "busy" for this discussion. Please read …
1
vote
What are some of the uses of the invariant spacetime interval?
This is my favourite; the Twins "Conundrum":
Stay-at-home twin:
$$d\tau^2 = dt^2 - dx^2 = dt^2$$
$$d\tau = dt$$
Traveling twin ($0.8c$), there & back:
$$d\tau^2 = dt^2 - dx^2 = dt^2 - 0.64dt^2 = 0.36d …