Okay, so there's a classic objection to time travel that goes like this: if you jump one day in the past, where are you? If you jump one day in the past, the earth is about two and a half million km behind you in its orbit. So if all you do is jump through time, then you find yourself adrift in the vacuum of space and die soon thereafter. Oops. Therefore, any time machine must really be a spacetime machine.
The problem with this objection, however, is that it doesn't take into account relativity. It implicitly assumes there is some background reference frame against which the earth moves and your position can be pinned. But we know that's not how the world works. There is no universal reference frame. The only way the above objection stands is if what stays the same is your position relative to the sun, and given the infinitude of objects out there, that seems like kind of an arbitrary choice.
The again, you only reappear in the exact same spot on earth if what stays constant is your position relative to the earth. Is that just as arbitrary? This gets us into the somewhat incoherent idea of what a time machine would even be.The kind of time travel permitted by general relativity is, by its very nature, about creating paths through spacetime. There's no confusion there as to where you end up. If you can travel faster than the speed of light, you can break causality, leading to a kind of time travel as well. But since what you're doing is traveling, again where you end up is clear.
Neither of these forms of time travel resemble the classic science fiction idea of a time machine, however. If you pop out of existence at time t and pop back into existence at t-1000, is it at all clear where you should be spatially?
The problem with this objection, however, is that it doesn't take into account relativity. It implicitly assumes there is some background reference frame against which the earth moves and your position can be pinned. But we know that's not how the world works. There is no universal reference frame. The only way the above objection stands is if what stays the same is your position relative to the sun, and given the infinitude of objects out there, that seems like kind of an arbitrary choice.
The again, you only reappear in the exact same spot on earth if what stays constant is your position relative to the earth. Is that just as arbitrary? This gets us into the somewhat incoherent idea of what a time machine would even be.The kind of time travel permitted by general relativity is, by its very nature, about creating paths through spacetime. There's no confusion there as to where you end up. If you can travel faster than the speed of light, you can break causality, leading to a kind of time travel as well. But since what you're doing is traveling, again where you end up is clear.
Neither of these forms of time travel resemble the classic science fiction idea of a time machine, however. If you pop out of existence at time t and pop back into existence at t-1000, is it at all clear where you should be spatially?
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