The Truth About Time Travel: Separating Fact from Fiction

ledzeppie
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So I was watching a video on youtube. http://www.youtube.com/watch?v=QM28eErikAo"

It says that the faster you travel through space, the slower you travel through time, and that if you went faster than light, you could go back in time. Is this true? Forget about it being impossible to go faster than light, and assume that it is. Wouldn't this only be relative?
 
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Yes, If you were to observe a person traveling at, say, 90% the speed of light, relative to you, you would see their clock moving more slowly, their heart beating more slowly, etc. And, yes, this is "relative". If that same person were observing you, he would see you moving at 90% the speed of light relative to him and would observe everything in your frame moving more slowly.

I don't see why it would be important to "forget about it being impossible to go faster than light, and assume that it is". This has nothing to do with going faster than light. In fact, the effect is one of the reasons it is impossible to go faster than the speed of light: as something approaches the speed of light, relative to you, its "time" comes to a stop.
 
OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
ASSUMPTIONS 1. Two identical clocks A and B in the same inertial frame are stationary relative to each other a fixed distance L apart. Time passes at the same rate for both. 2. Both clocks are able to send/receive light signals and to write/read the send/receive times into signals. 3. The speed of light is anisotropic. METHOD 1. At time t[A1] and time t[B1], clock A sends a light signal to clock B. The clock B time is unknown to A. 2. Clock B receives the signal from A at time t[B2] and...
From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
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