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TimeRip496
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Two spaceships pass by each other. Both are traveling at near the speed of light. How will each spaceship percieve each other speed and time? Besides how do you do it mathematically?
"Traveling at near the speed of light" is an utterly meaningless statement since you gave no reference frame. YOU are traveling at near the speed of light right this very minute.TimeRip496 said:Two spaceships pass by each other. Both are traveling at near the speed of light. How will each spaceship percieve each other speed and time? Besides how do you do it mathematically?
Thanks for adding this. I should have mentioned it.Ibix said:You might also want to check out the relativistic velocity addition formula. You can derive it from the Lorentz transforms, but it's a direct answer to one of your questions.
There is absolutely no need to "prove" you are at rest in your own frame of reference, you are by definition at rest. And since no one is EVER at rest in any absolute sense, that's the best you can do.Physicist97 said:Well, if you are on the spaceship you can simply say that you are the one at rest and the other ship is going at some speed near ##c##, (of course there is no way to prove that you are the one who is at rest).
For sure, nobody suggests here that one needs to "prove" that you are at rest in "your own frame of reference". And you are for example by definition not at rest but moving in the ECI frame which we use for GPS.phinds said:There is absolutely no need to "prove" you are at rest in your own frame of reference, you are by definition at rest. [..].
Uh ... I guess I was misled my the words "there is no way to prove that you are the one who is at rest".harrylin said:For sure, nobody suggests here that one needs to "prove" that you are at rest in "your own frame of reference". And you are for example by definition not at rest but moving in the ECI frame which we use for GPS.
That's just one way of stating the PoR.phinds said:Uh ... I guess I was misled my the words "there is no way to prove that you are the one who is at rest".
Well, to me it emphatically suggests a belief that SOMEONE is absolutely at rest, you just can't prove you are that one.harrylin said:That's just one way of stating the PoR.
It corresponds to the way the PoR was originally formulated, and Einstein's formulation of the PoR is perhaps more neutral.phinds said:Well, to me it emphatically suggests a belief that SOMEONE is absolutely at rest, you just can't prove you are that one.
I'm not getting how any of this is relevant to either the original question or the side issue brought up by my response to physicist97harrylin said:It corresponds to the way the PoR was originally formulated, and Einstein's formulation of the PoR is perhaps more neutral.
I agree that the earlier formulation may suggest a certain interpretation, but not emphatically: in SR any standard reference system pretends to be a "rest system" so that other systems are pretended to be "moving", with all implied physical consequences such as relativity of clock synchronization. To get back to my earlier example, in GPS calculations the speed of light is not isotropic relative to you - because you are held to be moving.
The side issue that you brought up has probably nothing to do with the original question. I'll therefore end my clarifications as follows: "there is no way to prove that you are the one who is at rest" corresponds to statements like "there is no way to prove that your clock synchronization is right".phinds said:I'm not getting how any of this is relevant to either the original question or the side issue brought up by my response to physicist97
At near light speed, time dilation occurs, meaning that time appears to move slower for an observer on a fast-moving object compared to an observer at rest. This is due to the theory of relativity, which states that time and space are relative to the observer's frame of reference.
No, humans cannot accurately perceive time at near light speed. As an object approaches the speed of light, time appears to slow down to the point where it can seem to stand still. This makes it nearly impossible for humans to accurately perceive time at such high speeds.
The faster an object moves, the slower time appears to pass for that object. This is because as an object approaches the speed of light, its mass increases, and it requires more energy to continue accelerating. This results in time appearing to slow down for the object, as observed by an outside observer.
According to the theory of relativity, there is no limit to how fast an object can perceive time. However, as an object approaches the speed of light, time appears to slow down to the point where it can seem to stand still. This makes it nearly impossible for us to perceive time at near light speed.
At near light speed, objects appear to shrink in the direction of motion. This is known as length contraction and is a consequence of time dilation. This means that an object moving at near light speed will appear shorter to an outside observer than it does to someone on the object itself.