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(I'm moving this from physics.research, because it has been almost comatose for several days now). __________________________________________________ ___________________________ Everything Bartosz Milewski said is correct. (I've quoted his posting below). An inertial observer can determine the current age of some distant person (for brevity, I call this the "CADO", for "the current age of a distant object") by using the Lorentz equations. But if he receives a sequence of transmissions from the distant person (each giving her age at the time of transmission), then he can compute her current age by using only first principles (plus his own clocks and measuring sticks), even if he doesn't know anything about special relativity. I discuss this in detail in my paper "Accelerated Observers in Special Relativity", PHYSICS ESSAYS, Sept 1999, p629. I also show why an accelerating observer, when attempting to determine the current age of a distant person, MUST adopt the conclusions of the "MSIRF", the inertial reference frame in which he is momentarily stationary at that instant. Otherwise, he will be forced to ignore his own simple, elementary measurements. Mike Fontenot __________________________________________________ ___________________________ Bartosz Milewski wrote: You are right and I think, after reading all the replies to my original posting, I understand why. The sudden instantaneous aging is not the effect of GR, but is an adjustment you have to make when switching inertial frames. The problem is that the concept of "actual age" of the earthbound twin depends on the frame of the observer. When watching the films recorded by twins, we don't use the concept of "actual age"--what we see is the observed, delayed, age. This age is continuous, there is no sudden jump when turning around. But if the traveling twin tries to keep track of the "actual age" of his brother, he has to calculate it using SR. He has to make adjustments to translate what he sees to what is happening "right now" to his brother. And, of course, the definition of "right now", as applied to his brother, changes drasticly when he does a U-turn. The hyperplane of "the present" in Minkowski space reverses its tilt. The farther the other brother is, the bigger the sudden adjustment to his calculated age is. |
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