If I go back in time and kill my grandfather, the past version of me would never have existed to go back in time to kill my grandfather.
Paradox.
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If the Everette-Wheeler-DeWitt model of quantum mechanics is right then you would simply be killing one of an infinite number of versions of your grandfather in a universe separate from your own.
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Ah so that model has it so that time travel creates a new universe. Interesting.
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My point is that you would be unable to kill your grandfather. No matter what you did, fate would somehow cause you to fail, because the fact that you exist proves that nobody killed your grandfather. If you go to the past, then you were already a part of that past, otherwise by it's very definition it wouldn't be the past. I'm sorry if i'm not explaining myself well, but time travel in general is one big mind--blam!-.
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Ah so you believe that the universe protects itself by chance. I've heard that theory before. I like it.
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It's not really that it protects itself, it's more just logic dictates that is must be impossible to change the future due to the paradoxes that would occur otherwise(unless you get into multiverse stuff).
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I like the "multiverse stuff"
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I have nothing against the multiverse theory, I just didn't want to get into it. Even with the multiverse theory it still doesn't change the future, it just creates a new one in a new universe.
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This is true. However, in many other theories time travel could result in paradoxical situations. These are usually solved by either the collapse of the universe or the avoidance of the situation to begin with.
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yeah the avoidance theory is the one I subscribe to obviously. Of course time travel is probably impossible to begin with.
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There are "loopholes" in the laws of physics regarding wormholes near very high gravity that make it possible.