I don`t understand how synchronization of clocks can be made in an accelerating frame.(adsbygoogle = window.adsbygoogle || []).push({});

let`s put a source of light at the center of an accelerating rocket. From it, many pairs of pulses are emitted one at a time in two opposite directions.

Because the source is located at an equidistant from two ends. and because the speed of light is constant, the pulses should reach two observers, at front and back ends of the rocket, at the same time.

At the source and at any time, the distance between the wave fronts of 2 successive waves.

$$\Delta x=c \Delta \tau$$

$$\Delta \tau=\frac{\Delta x}{c}$$

where $$\Delta \tau$$ is the time separation between two waves.

However, because the front observer, will see the rate of ticking is relatively slower (red shifted) and the back observer will observe the rate of ticking is faster (blue shifted),

$$\Delta \tau_F=\frac{\Delta x}{c} \neq \Delta \tau_B=\frac{\Delta x}{c}$$

which implies c must not be constant.

$$\Delta \tau_F$$ and $$\Delta \tau_B$$ are time lapse between the two waves as observed by front and back observer, respectively.

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# How to synchronize clocks in accelerating frame?

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