baffledMatt said:
All I can say is, go get a good book on relativity and just do the calculation. I would do if for you except that all my GR notes and books are in another country.
Please do this before posting any more specultions of what you 'suspect' relativity might say.
Matt
Oh dear! no need to be so defensive because you can't answer a simple question
I note that you still haven't answered it:-)
I have just been looking at some of your replies so far:-
>In fact, you can even resolve the whole thing - accelerations and all - >with just SR. It's in one of the usual texts on the >subject, but I can't >remember which one. Possibly the one by J. Martin.
>
>p.s. I like the fact that this final theory person keeps telling us physicists >what we do and don't understand. Surely we
>already know this?
You call yourself a physicist, and even seem to think you understand relativity, (I bet you also think you understand Quantum Theory), yet you can't answer this question without your texbooks.
BTW here's a quote (from Will Rogers) that you might be interested in:-
"it's not what people don't know that hurts them. It's what they do know that just ain't so."
Sorry to burst your bubble, but you won't find the answer to this question in any standard textbook - all you will find is avoidance of the obvious contradiction, at the very heart of the theory.
The standard ploy to avoid this question is to say that the one that ages slower is the one who experiences the acceleration(s), which is why I have added the part about identical accelerations.
>The question "which one experiences the time dilation" is ill posed. They each will observe time dilation in the other >twin's >frame. The only question you can then sensibly ask is 'when the twins return to the same frame which one is older?' and this >will depend in detail on the accelerations each one has experienced.
>
>Matt
I have proposed a situation where each twin (or clock) experiences identical accelerations, during separation and returning together - you did not reply to this
I'm assuming you would agree that in this situation the effects of acceleration (whatever they may be) can be ignored, and only the periods of uniform relative motion need be considered. (When considering the Twin/clock paradox, Einstein did not consider that the effects of acceleration were relevant).
Isnt it strange then, that when trying to avoid this
question, "physicists" since then have brought acceleration into it.
Basically this is the paradox:- when considering uniform relative motion, we have no right to say whether a clock is "moving" or "stationary", we can only say one is in motion relative to the other. Now in this case, if we want to calculate how much slower one clock has gone, how do we know which clock to perform our calculations on. The situation is entirely symmetrical. And which one we decide is stationary and which moving is an entirely arbitrary decision, and whichever we choose, we will get the result that it is running slower than the other clock. Clearly when the clocks come together they cannot both be slower than the other.
Also when we choose the Earth as the start and finish of the journeys, we have no right to assume that the Earth is at rest either.
In fact in the great debate between Dingle and McCrea on this subject, McCrea conceded at one point that this was a symmetrical situation, then proceeded to answer a different question.
So, I am still waiting to see a sensible answer to this question.
As I said before, I suspect that Relativity is unable to distinguish between the two in any meaningful way
I reserve my right to ask this question, it is up to the self-styled "experts" to answer it, if they can.
The fact that this debate is unresolved 99 years after the theory was first published, means I won't be holding my breath waiting for a solution.
regards
---Steve