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Apr 23, 2022 at 23:12 comment added Gumby The Green Ok, I see. Please disregard my entire first comment. But now I think the issue is that you're treating acceleration as a relative thing while it's actually absolute in relativity. The two rockets are like two objects that are stationary at different heights in a gravitational field—they're both accelerating (and experiencing different rates of time) even though they aren't moving relative to each other. In both this experiment and the one in your last comment, the effect is caused by a combination of acceleration and distance—the "gravitational" potential between the two things.
Apr 22, 2022 at 3:59 comment added stuffu @GumbyTheGreen Rocket1 is away from earth, it accelerates away from earth, rocket2 with a clock glued on it is on earth and starts accelerating towards rocket1. . . . . Here's a simpler experiment: clocks are sprinkled all around from a rocket, then the gas pedal is pressed to the floor, which causes a horizon to appear. Clocks near said horizon are seen to move slowly, tick slowly and accelerate slowly. Acceleration small, time dilation large.
Apr 22, 2022 at 1:33 comment added Gumby The Green Ok, I'm not clear. So there are two rockets—the one the physicists are on (Rocket 1) and the one the clock is on (Rocket 2)—right? Is Rocket 1 on the earth or away from it? When they press the gas pedal, does it accelerate toward the earth or away from it? After bolting Rocket 2 to the clock, is the clock still on the earth? Does its thrust push it toward Rocket 1 or away from it? Also, note that time dilation can't be observed in real time (what the physicists see is determined only by the relativistic Doppler effect), so observation #2 isn't realistic, but I'll go with it for now.
Apr 22, 2022 at 1:06 comment added stuffu @GumbyTheGreen "Relative to the first rocket's time? I don't think that's true. How are you concluding that?". . . In an inertial frame light from clock has a harder time catching up with the rocket after the pedal has been pressed down more, this causes the physicists to say that the clock runs slower.
Apr 21, 2022 at 22:55 comment added stuffu There are 2 things in your question: a rocket and a clock. When the rocket blasts, there is an inertial force, which accelerates the clock. The rocket does not accelerate because the thrust of the rocket cancels out the inertial force. That was in the rocket frame. In any inertial frame the rocket accelerates, and the clock does not care about that at all.
Apr 21, 2022 at 9:35 comment added Gumby The Green Note that "time dilated" is supposed to mean that a frame's unit of time is dilated (e.g., each of its seconds is longer) and thus that its time is slower, not faster. Anyways, let me see if I understand... "Said rocket produces such thrust that the acceleration of the clock does not change when the gas pedal is pressed more." So there are two rockets now that accelerate together so that they have no acceleration or motion relative to each other? "the time dilation of the clock still changes" Relative to the first rocket's time? I don't think that's true. How are you concluding that?
Apr 21, 2022 at 6:29 history edited stuffu CC BY-SA 4.0
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Apr 21, 2022 at 6:21 history answered stuffu CC BY-SA 4.0