Interesting experiment, thanks for sharing.
I still feel like there are too many variables to take into account to apply this to hunting in any meaningful way: temp, wind direction/speed, the direction the deer's ears are facing, all would play into whether or not a deer jumps a string, right? On top of that, two deer given the exact same circumstances could react in very different ways. This is anecdotal, but the buck I shot last year didn't even flinch when my bow went off. I don't think he heard it, and I don't think I will be aiming off vitals in the future in the hopes that a deer ducks into a shot.
Also, maybe I missed this, but why did they decide on the average reaction time of olympic runners? I don't get what that has to do with a deer's reaction time. Why the speed of gravity for the deer "falling?" I see an animal engaging its muscles to move, not a suddenly legless, falling object. I get they had to come up with variables that they could control for the sake of attempting a sound experiment, but I think those variables are a bit unrealistic. IMHO, I think a meaningful take on this experiment is way too complicated, perhaps impossible...
Again, just my opinion... I'm not an engineer/scientist/expert...just a dude on a forum!