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I'll give a half-baked counter to this: we know gravity impacts the flow of time through relativity. There is currently no evidence that time travel wouldn't be impacted by gravity in some way. Maybe the way time in time travel interacts with gravity protects you from this problem? Probably not, but it has just as much evidence to support it as your claim of time travel will dump you in empty space.

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You’re positing some unknown influence will cause everything to work out well in the ends without any evidentiary basis. Occam’s Razor suggests that you’re more likely to be wrong than parent.

Of course the idea that your point of origin must be fixed from time A to time Z if you’re willing to allow for time travel is itself flawed. If you could somehow move an object to an arbitrary time you could move them to an arbitrary point in space, and your ability to calculate may be significantly greater on the grounds that you’d have more advanced technology than us. It’s all scifi woo though until someone actually time travels.

I disagree with this interpretation of what I said. We HAVE evidence that time and gravity interact. It's actually more of a violation of Occam's Razor to suggest that time travel is somehow exempt from that interaction than to claim that yes, time travel should in someway be subject to the influence of gravity.

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