@dalehileman,
Sorry Bran but please don't read my response 'til I'm done with it. The a2k software keeps cutting me off in the middle of a sentence
To simplify things, we often assume my ship and I are immune to the effects of acceleration and my engines are so powerful that they can instantaneously accelerate to (near) c. At risk of some repetition, and as I understand it, Bran, at takeoff I see your clock "doubly" stopped first because of (1) the relativistic effect--the
actual (to me) stopping of your clock at 11:50--and (2) the fact that I'm keeping up with your image so that only a few cycles elapse during my outward journey to, say, Mars (at the moment in mid orbit)
By "cycles," I make ref to the light having bounced off your clock at 11:50, and of course we're ignoring any relative interplanetary motion; and naturally it goes without saying that I can see electromagnetic radiation of extremely low frequency
But then a few seconds later later by my watch (10 minutes by yours) when I reach Marty's kingdom and fire my retros (that's noon your time) your clock
actually jumps ahead 20 minutes (to me), its image necessarily also jumping ahead 20 minutes. In other words, at that instant my de-ac-celeration aged you
actually (to me) 20 minutes
(Yes, that "actually" is highly controversial, subject for another thread; and I've studiously ignored at this point happenings at the instant of reversal because it tends to complicate things, while its duration is zero)
I say "jump" of course meaning in the few seconds (to me) required to return home. Incidentally when you finally see me coming back and at the same time I note, sure enough, your clock is
actually (or
still?) reading 12:10; suppose I don't fire my retros to stay for dinner but zip on past, and here's where it gets interesting as I peer out the rear window ...
Something wrong with a2k software....I get a message refusing me permission to edit but then when I click on leftarrow
Bran, if there's another interruption it's because I had to eat lunch
....your clock appears to
suddenly stop at 12:10. Well of course, It must, it's because I'm keeping up with that wavefront. (But a number of additional q's now arise: For instance, what was the effect of reversing my course. For instance can I now claim that your clock is no longer
actually stopped....
But let's get back to that original thrust when I launched from your pad for a visit with Marty, the acceleration you claim put me into a different boat; an issue we haven't even approached so far in all this reminiscing. In the original thread your viewpoint on the effect of that sudden jerk (no pun intended) was first questioned not by
me but by
another interested party who shared my doubts and confusion over its effect, the apparent difference between our clocks. What he asserted was, that it can't have been the acceleration accounting for my clock's stopping but yours not, since its effect
persisted throughout my entire trip
...suggesting for instance that it's not the acceleration at all doing the dirty work, only inasmuch as it was necessary to get me going, that the subsequent difference in aging owes to the cumulative effect of all the rest of the solid matter in the visible Universe (stationary inertial reference frame?)
[Incidentally I mention in passing that I have an even simpler explanation (sorry fellas for all this repetition) for the diff, one which appeals to the intuition and the six senses, having do do with a subliminal misconception regarding time-at-a-distance; one which I'd be most glad to discuss]
Bran you'll have to forgive any remaining typos as my day has elapsed. Happy to discuss further--oh, and now I'm done--for now