# Is there a relation between fluctuations, temperature and time dilation?

However, I don't find the answers addressing my question. Einstein relation connects between temperature, $T$, and time, $t$:

$$D \propto T$$

Where $D$ is the Diffusion coefficient and has a time dimensions inherently: $$\left[ D\right] \propto \left[t^{-1}\right]$$

Is it true to say that fluctuation, temperature and time dilation are equivalent?

• – 0x90
Aug 14 '17 at 1:40
• Part of the problem, I think, is that there isn't an explicit relationship in the Einstein case: $D=\mu k_BT$, the time dependence is wrapped up in the temperature (or the mobility). Aug 14 '17 at 1:48