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As long as you're not suggesting that it is the turnaround that 'instantly ages' the stay at home twin, [...][...]
Seems your link is not working.Hopefully this one should. https://sites.google.com/site/cadoequation/cado-reference-frame#References
My reasoning may be wide of the mark, here, so I would value comments.Acceleration involves a change in speed, direction or both, thus, the “turn-around” constitutes acceleration.
The “twins paradox” comes about as a result of time dilation and length contraction.
Let me ask you.would you agree to that in a uniform motion the same time dilation is existing?Or do you expect it to come true only in accelerations?
My reasoning may be wide of the mark, here, so I would value comments.Acceleration involves a change in speed, direction or both, thus, the “turn-around” constitutes acceleration.The “twins paradox” comes about as a result of time dilation and length contraction. The Lorentz equations, which gave mathematical veracity to time dilation and length contraction, feature only time, length, velocity and the speed of light. There is no mention of acceleration. Einstein incorporated time dilation and length contraction into SR, and SR is concerned only with uniform motion. There seems to be no need to venture into general relativity. So why do we have to use acceleration to solve this particular paradox?
Sorry, but no, No elaboration, it's a very simple question answerable by a 'yes' or a 'no'. I'll take away the question mark though if it helps you see it?would you agree to that in a uniform motion the same time dilation is existing, or do you expect it to come true only in accelerations?
The Lorentz equations, which gave mathematical veracity to time dilation and length contraction, feature only time, length, velocity and the speed of light. There is no mention of acceleration.
No. Time dilation and length contraction both follow from the Lorentz equations, which describe how two inertial reference frames are related. They don't apply to accelerated reference frames….
You are forgetting the relativity of simultaneity.
No Janus, I don't agree to there being a difference. A time dilation is your wristwatch against some defined 'clock' of another frame of reference. What makes the twin experiment unique is the idea of it being measurable as a 'real time dilation' making one 'identical twin' younger than the other. and of course the need for an 'acceleration' if we want the thought experiment to work. But a time dilation is a time dilation.