martillo:
I'm not mixing frames, I'm considering the results in all frames and comparing them.
That's mixing frames.
martillo:
I'm not mixing frames, I'm considering the results in all frames and comparing them.
funkstar said:martillo,
The Lorentz transforms relate frames. If you want to relate time in the mothership frame to a particular twin's frame, of course you need the Lorentz transforms that relate those two particular frames.
It's not a matter of opinion. If twin A moves to the right along the x-axis wrt. the mother ship S with relative speed v, i.e. velocity v, and their coordinates coincide on (0,0), the transformation equations relating spacetime coordinates (x<sub>S</sub>,t<sub>S</sub>) from the S frame to spacetime coordinates (x<sub>A</sub>,t<sub>A</sub>) in the frame A are
x<sub>A</sub>=γ(x<sub>S</sub>-vt<sub>S</sub>)
t<sub>A</sub>=γ(t<sub>S</sub>-vx<sub>S</sub>/c<sup>2</sup>)
If twin B moves to the left along the x-axis wrt. the mother ship S with relative speed v, i.e. velocity -v, and their coordinates coincide on (0,0), the transformation equations relating spacetime coordinates (x<sub>S</sub>,t<sub>S</sub>) from the S frame to spacetime coordinates (x<sub>B</sub>,t<sub>B</sub>) in the frame B are
x<sub>B</sub>=γ(x<sub>S</sub>+vt<sub>S</sub>)
t<sub>B</sub>=γ(t<sub>S</sub>+vx<sub>S</sub>/c<sup>2</sup>)
That's the way it is.
What you did amounts to nothing more than observing that two separated events that are simultaneous in the S frame, are not so in the A frame. No surprises there, and certainly no contradictions. This becomes extremely clear when you use frame names as subscripts instead of the ambiguous prime ('). You were transforming from S to A. That doesn't let you conclude anything about B.
So, you were mixing frames. It's a classic mistake, but a mistake nonetheless. Accept it, and move on.
Martillo this is the way it is. Your wrong, I'm sorry...
martillo said:Is not.
For Relativity any referential should be equivalent to observe any phenomenon of Nature.
The first principle of Relativity!
The Lorentz transformation equations transform spacetime coordinates from one frame S into spacetime coordinates for another frame S'. Two frames, not one, determine how the Lorents transforms look.martillo said:funkstar,
In this case all what I can say is that you are wrong putting a different transform equation for each twin. Once you choused a referential the equations are determined and must be the same for every object observed!
You are defining two different transforms, one for each twin.
This is wrong.
martillo said:UnderWhelmed,
You do that way.
You have found a way to compensate the difference found but is mathematically wrong.
It's wrong.
I'm sorry.
There are no contradictory results. You just don't know how to use the Lorentz transforms.martillo said:UnderWhelmed,
So you accept contradictory results in different frames as normal...
I can't believe...
martillo said:UnderWhelmed,
So you accept contradictory results in different frames as normal...
I can't believe...
martillo said:Wesmorris,
Again, nothing to contribute to the problem, just comments about myself...
I have the mind open, I do consider what they say seriously!
The problem is that you don't consider me seriously. They who post real arguments (right or wrong) consider me in a better way than you do.
Your comments have no significance at all!
No. What I do is the mathematically right thing. I'll write up what you did again, but with explicit frames, so the error is more apparent:martillo said:You have found a way to compensate the difference found but is mathematically wrong.
YES, you are apparently an ape. I don't care if martillo actually thinks things age younger or age less in the strict sense of the words. Because I think he means age less and anyone with a brain sizably larger than an ape's brain would know he actually means age less as Spanish is his native language.Anomalous said:How can U not care , That Wesmorris is saying that Satellites are ageing less, they are in orbit and not even accelarating,
we r truly on planet of apes.
Anomalous said:How can U not care , That Wesmorris is saying that Satellites are ageing less, they are in orbit and not even accelarating,
we r truly on planet of apes.
You applied the Lorentz transformation for the time coordinate from frame S to frame A, which say the following:
tA=γ(tS-vxS/c2)
Giving you for twin A in frame A:
tA=tS/γ
and for twin B in frame A:
tA=γtS(1+v2/c2)
Note the subscript A linking this value to the A frame. This value has nothing to do with the time elapsed in B's frame!