After swatting a fly on my desk today I randomly recalled the Star Trek: The Original Series episode "Wink of an Eye", in which the Scalosians are a race of hyper-accelerated beings that eventually bring Kirk into their own time frame once he drinks his coffee (of which we have reached a conclusion on its caffeinated nature).
Though everyone appears to be frozen, they are actually moving at a much slower pace than Kirk and the Scalosians. What I am wondering is, what is the exact ratio of time dilation that is occurring here? I do not remember if it was mentioned in the episode or not. Assuming it was not, is it possible to determine by calculating the speed of phaser fire when Kirk fires at Deela?
Assuming it's 1000:1, this would mean that for every minute of passing time in the "normal" time line, Kirk would have experienced over 16 hours of time. Once we have discovered the ratio, how long is Captain Kirk actually in his hyper-accelerated state when compared to the flow of normal time?