Looking at the two equations for time dilation they seem very similar(adsbygoogle = window.adsbygoogle || []).push({});

$$t_{surface} = t_{space} \sqrt{1-\frac{2GM}{rc^2}}$$

$$t_{moving} = t_{observer}\sqrt{1-\frac{v^2}{c^2}}$$

I was hoping someone could explain more how they are connected?

I'd like to think that a fast moving object with β near 1 would begin to feel more massive and inertial. Being more inertial the object would then "slow down" as described by general relativity? Is the special relativity expression an extension of general relativity or are the two separate?

Thanks all!

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# Gravitational time dilation and special relativity time dilation

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