When taken to the top of a mountain, a clock will go fast or go slow or no change or stop?

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The mountain clock will run faster IF COMPARED TO A SEA LEVEL CLOCK because the flow of TIME is Slowed by gravity and the gravity is slightly less on the mountain top. The flow of time affects ALL processes though, so compared to the (local) speed of light, or (any other mountain top measurement) the clock will appear to run exactly at the same rate. It is only a RELATIVE measurement (compared to the sea-level clock) that would show a different rate. The Scientists Pound-Rebka at Harvard University verified this effect with an atomic clock experiment. The effect would be WAY WAY too small to see with an ordinary clock though. It might take millions of years to see a one-second difference in two ordinary clocks.
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