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## Main Question or Discussion Point

I've been trying to understand gravitational time dilation by considering a light-clock of length ##l## undergoing an equivalent acceleration ##a## from rest along the direction of the bouncing light pulse.

I find that the time ##t## that the light pulse takes to travel to the forward receding mirror and then back to the approaching back mirror is given by

$$t \approx \frac{2l}{c}-\frac{al^2}{c^3}$$

Is this result obviously wrong as it implies that the light clock is taking less time to tick in a gravitational field than the time ##2l/c## that it takes without any gravitational field?

I find that the time ##t## that the light pulse takes to travel to the forward receding mirror and then back to the approaching back mirror is given by

$$t \approx \frac{2l}{c}-\frac{al^2}{c^3}$$

Is this result obviously wrong as it implies that the light clock is taking less time to tick in a gravitational field than the time ##2l/c## that it takes without any gravitational field?