On Tue, Nov 15, 2022 at 9:50 PM Alan Grayson <[email protected]> wrote:
*> Please answer the question defining this thread.* The answer is yes, provided that the acceleration is produced by a force, such as you'd get with a rocket. In General Relativity gravity is not considered a force, it's just the way things move if Spacetime is curved in a certain way, and to figure out what that curvature is you need to know how much mass there is in the area and how it's distributed, and you need to know General Relativity *> Specifically, will the time dilation of a clock in an accelerating > frame, be the same as a clock as measured for a clock in a the observer's > accelerating frame* I don't understand the question, if they're both accelerating at the same rate then they're in the same reference frame. And again, Special Relativity can't deal with gravity. According to Special Relativity if you're sitting quietly in a gravitational well, as you would be if you were on the Earth's surface, you're not accelerating, but according to General Relativity you're accelerating upward at 9.8 meters per second per second, and if you observe somebody in distant deep space far from any source of gravity and they were keeping a constant distance from you their wristwatch would seem to be moving slightly faster than normal, and to them your wristwatch would seem to be moving slightly slower than normal. You need both Special Relativity and General Relativity to make the corrections necessary for the Global Positioning Satellite system to work. A GPS Satellite is moving fast compared to a clock on the ground so Special Relativity says the clock on the satellite will lose 7210 nanoseconds a day, but the satellite clock is further from the Earth's center so it's in a weaker gravitational field, and because of that General Relativity says the satellite clock will gain 45850 nanoseconds a day relative to the clock on the ground. So the two theories together predict the satellite clock will gain 45850 −7210 = 38,640 nanoseconds a day relative to a clock on the ground. If we stuck with Newton and this relativistic correction was not taken into account map positions would be off by about 6 miles a day, and the error would be cumulative John K Clark See what's on my new list at Extropolis <https://groups.google.com/g/extropolis> I1Il -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1b26uhBxX_9PD57iM6YXmhxk%3DDhaEZNnoAYX6fUGnV3w%40mail.gmail.com.
