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You’re the one who claims to speak with certainty about how time travel works. When you do that, it’s your responsibility to provide firm proof supporting your claims. You have not done so, and you cannot. You don’t get to shift the burden of proof, that’s on you. All you have to offer is speculative talk that doesn’t prove anything. Nothing less than verified, real-world experiments is sufficient to prove the claims you’ve made. Until those happen, you don’t have a case.
I'm not shifting the burden of proof. I'm saying - to misquote Sherlock Holmes - 'I am not retained to supply your deficiencies'.
I could spend time that I don't have spare searching out the papers, and linking to articles and videos, but I have the strong feeling you'd ignore most of it and be as dismissive of the rest as you were of the video I linked to earlier.
So rather than me waste my time, if you're really interested, just google 'time travel', watch a few, take note of the physicists giving the lectures and google their work. It's easy enough. Sean Carroll is a good starting point.
When you've done that, come back and we can have a real conversation about it.