One of Einstein's thought experiments involved a rocket and two light sensors inside the rocket, one at the top, and one at the bottom. When the rocket was at rest, a pulse of light from the bottom sensor travels to the top sensor at the speed of light, $c$. But when the rocket is launched and is accelerating, it takes the pulse of light longer, or $c_-$, to travel from the bottom sensor to the top sensor than when the rocket was at rest.
Does this mean that light is slowed down by the increased pull of gravity on the pulse of light?
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