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So, I recently did a relativity paper at University. I learned about time dilation at relativistic speeds and such, using the example of a light clock travelling at high speeds, I was assured that this worked the same for all clocks, not just those using light to measure time.This got me thinking about pendulum clocks.
My question is this.The period of a pendulum is meant to be proportional to sqrt(L/g), but if I had a pendulum whose period of oscillation was exactly 1s, and I moved this pendulum clock to, say, the moon, what's to say that the period of oscillation isn't still 1s, and merely time is experienced differently due to the different gravitational field, rather than the period having been increased due to the decrease in g?
How different would time be outside of Earth?If a year is merely defined by 1 cycle around the sun, and a day by 1 rotation of the Earth, if the Earths spin or orbit were to speed up, would we even notice, or would we experience time differently?