tomclarke wrote:
We will I think differ over this. For the record I will restate what I and others here have said about this quesytion:
I know what you and others have said about this question since it is the same paranormal, metaphysical interpretation of the Lorentz transformation that I have taught for many years to my own students. So repeating Voodoo arguments on this thread is not helping much at all. Take, for example, your next statement:
(1) Two clocks in diferent inertial frames "keeping different times" is not physically meaningful.
Now just answer the following questions:
(i) Does a clock keep time? Yes or No.
(ii) Do two separate clocks each keep time? Yes or No?
(iii) Do two separate clocks which are both stationary within the same inertial reference frame each keep time? Yes or No?
(iv) Do these clocks keep time at different rates? Yes or No?
(v) Do two clocks moving relative to one another each keep time within their own inertial reference frames? Yes or No?
(vi) Now since they both must keep time, and since you claim that “keeping different times” is not physically meaningful, it MUST mean that they are keeping time at the same rate. Yes or No?
You would have to describe an experiment to verify or deny this.
The experiment is in the text books where it is claimed that one twin will age faster than the other. This can ONLY be possible if their respective clocks keep different time rates within their respective inertial reference frames. Yes or no? Try and give some straight answers for a change!
(2) relative motion is symmetrical, both FOR move, and we have never said otherwise.
So the two twins will not age at different rates as long as they move with a constant velocity v relative to one another? Yes or no? This means that the clocks travelling with the two twins MUST keep time at the same rate: Yes or No?
If, as claimed on this thread, the flying clocks experiment does prove that there is in addition to the gravitational effect on a clock also, a slow-down just because the clock is moving relative to another clock on the earth, then it does prove a slowing down under symmetrical conditions; and thus also proves you wrong: Does it not?. Do you, thus, agree that the flying clock experimental results must be wrong in this respect?
(3) (2) does not create a contradiction because (1) is meaningless unless you introduce change of FOR into one or both of clocks to bring them together again.
Why? Do they both only tick when they are together? Furthermore this is false, since acceleration of a clock DOES ALSO NOT change its time rate at all (see the discussion in my manuscript).
In which case relative time depends on which change FOR. If both do so symetrically there is no difference.
Thus the two twins do not age at different rates when they move with a constant velocity v relative to one another? Yes or no?
Furthermore, since you have only two reference frames involved, acceleration relative to one another is also symmetrical (see discussion in my manuscript based on Fig. 2) and therefore even acceleration and thus change in speed can also not cause one twin to age faster than the other. Thus, if one twin accelerates away, decelerates, comes to a stop, and accelerates back, the two twins will still be the sane age when the meet up since their clocks kept exactly the same time throughout the whole journey.
With all due respect Tom, you are arguing through your neck. The first principle of Einstein’s Special Theory of Relativity is that within ANY inertial reference frame the laws of physics MUST be EXACTLY the same. You claim that two clocks which are stationary within two different inertial reference frames respectively do NOT follow the same physics; since this is for some obscure reason, which you cannot explain, not “physically meaningful”. Really!!