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Look I don't know shit, but I'd imagine this wouldn't be impossible to calculate with all the constants like earth's rotation, it's orbit speed around the sun, the systems orbit speed around the galaxy etc.
But I'm probably wrong.
We can probably make a pretty good guess, but we don't know everything
Let's say 10,000 years ago, some giant asteroid passed close enough to earth that its gravity nudged the earth a couple centimeters out of its previous orbit
Maybe since then, that asteroid has continued on its merry way and left the solar system or crashed into Jupiter, or broke apart, or is just out still orbiting the sun somewhere in a place we haven't detected it, or we have detected it but just haven't done all the calculations to figure out where that particular space rock was 10k years ago to know that it probably nudged the earth a tiny bit.
Now we transport you back in time and account for all the other movement of the earth, but not that little nudge.
So you're appearing a few centimeters off from where you should. If you're lucky, you still end up with solid ground under your feet, or maybe you end up a couple centimeters in the air and you fall on your ass once you blink into existence in the past.
Or maybe you end up with your foot trying to occupy the same space as a rock because you're a couple centimeters lower than you should be. How does that even play out? Does your foot and the rock explode? Does your foot get stuck inside of the rock? Do they merge into one horrible mess of rock and flesh?
And even if we account for all of the earth's movements through space, what was at the exact point on earth you're currently existing in some arbitrary amount of time ago?
Tectonic plates have been drifting around, you gotta account for that, the spot on the north american plate that I'm standing on right wasn't in the same spot relative to the rest of the earth.
And even accounting for that, which I don't think we can really do super accurately, there's erosion and a million other random environmental factors to consider, go back far enough, and the space I'm in right now might have been inside of a mountain or a glacier or something. There might have been a tree growing right where I'm standing. It might have been in the middle of a wildfire or a flash flood, or there might have been a dinosaur standing right where I am now.
Good points. I guess we would only calculate to times where we know there weren't any cosmic events causing such. Which would severely limit us. I'd be a Guinea pig but know, I'd be dead by then ;0)
We have time travel, we just need to jump forward in time a couple years and download the maps for where earth was throughout its entire history, then we can go back to whenever we want.