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How does A know what has happened to B, simply by looking at his own clock?
Precisely my point. He can't tell B's time simply by looking at his own clock: he has to make a lot of assumptions. That's relativity.
Quote from: Halc on 02/05/2024 17:05:36You missed the fact that the Earth clock is inertial between the two events of the 'jump' and the traveling clock is not, so its worldline is half the temporal length that it would have had had it been inertial between its two events.Where does the number "half" come from?
You missed the fact that the Earth clock is inertial between the two events of the 'jump' and the traveling clock is not, so its worldline is half the temporal length that it would have had had it been inertial between its two events.
He can verify his assumptions by asking an external inertial observer,
Quote from: hamdani yusuf on 09/05/2024 10:35:41He can verify his assumptions by asking an external inertial observer,Which is not "simply by looking at his own clock". Try reading the question before questioning the answer.
If A cannot tell the time on B's clock by looking at his own, he has no reason to assume that they are synchronised. Thus there is no paradox. To repeat a mantra for the umpteenth time: You can derive a nonrelativistic result from a relativistic model by putting v << c. You can't derive a relativistic result from a nonrelativistic model.
There is no paradox, so no resolution is required. The time difference has been measured and consists with the calculated value.
I recommend the Wikipedia entry for the Hafele-Keating experiment, which explains the corrections required for an earth-based observer.
The Hafele?Keating experiment was a test of the theory of relativity. In 1971,[1] Joseph C. Hafele, a physicist, and Richard E. Keating, an astronomer, took four caesium-beam atomic clocks aboard commercial airliners. They flew twice around the world, first eastward, then westward, and compared the clocks in motion to stationary clocks at the United States Naval Observatory. When reunited, the three sets of clocks were found to disagree with one another, and their differences were consistent with the predictions of special and general relativity.https://en.wikipedia.org/wiki/Hafele%E2%80%93Keating_experiment