How Can Someone Disprove Time Travel To The Past?

Stephen Hawking said he disproved time travel to the past by throwing a party for time travelers, and leaving invitations where people in the future would find them. Or something. Noone showed up, so time travel is not possible. BUT, what if they KNEW BETTER than to show up? Every time someone goes back into the past and changes something, a new timeline is created. RIGHT? There would be more and more realities every time someone went back in the past and changed something. So there isn't even

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