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"Time contraction"? Where did you get this from?
Same place as he got "paradox" and "time jump", I think.
In standard explanation for the twin paradox, the stationary twin observes the travelling twin ages less than himself. He perceives that travelling twin experiences time dilation.On the other hand, the travelling twin observes the stationary twin ages more than himself. He perceives that stationary twin experiences time contraction. It's simply the antonym for dilation. Do you have a better terminology?
In special relativity there is time dilation and length contraction. There is neither time contraction nor length dilation.
Here's the space-time diagram of this signal exchange between stationary twin and travelling twin, according to Lorentz' theory of relativity.
Actually, the picture you post illustrates relativity theory, not LET theory, for three or four reasons:1) There is no spacetime under LET. It is a theory used for 3D space existing in time (presentism), not 4D spacetime.
2) The picture presumes that the Earth people can determine that they are stationary. There is no way to determine that, so the presumption is unwarranted.
3) There are red lines of simultaneity in the picture. Lines of simultaneity are always horizontal under LET.
4) The universe of LET can have no gravity, so it is not a model of reality. Lorentz never came up with a model that included gravity, which is good because if he did, there's be no way to tell actual time even if you magically knew which clock was stationary.
Under LET, many coordinate effects (the ones Paul mentions above, the RoS, mass, etc. all become real. But so many things that are real under relativity (what clocks measure, what rulers measure) all become coordinate things. Translation: you cannot measure anything at all under LET because none of your tools work, and all the things that are real are undetectable. So why defend this? I know two reasons why, but I've only mentioned the one.
They're not lines of simultaneity. They're laser signal trajectory.
It was assumed to have something to calculate.
Lorentz didn't thought about it doesn't mean that someone else can't add it.
I don't defend LET. I was comparing it's implications in contrast to STR to see which one is better for explaining the twin paradox.
The theory can be falsified by suicide,
How does velocity time dilation work if two observers are both traveling at velocity v in the same direction and one of the observed slows down to 1/2v? Which of the two observers experiences time at a slower rate after the deceleration?
The question assumes the existence of absolute velocity.
two observers are both traveling at velocity v in the same direction
Quotetwo observers are both traveling at velocity v in the same direction is meaningless unless there is such a thing as absolute velocity, which there isn't, or a third observer, which isn't stated or relevant to the question.The only fact is that one of the observers has undergone an acceleration from 0 to v/2 relative to the other.