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Intuitive Paradox

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Posted by RFL on October 9, 1998 08:09:32 UTC

Your questions have been asked and discussed many many times, and it appears there is no intuitively clear answer. To a faraway stationary observer time does in effect come to a stop at the EH of a BB, if for no other reason than space is infalling at the speed of light at the EH.

On the other hand to an observer falling into the hole nothing unusual occurs at the EH, as it is only defined as a global property of spacetime. This is similar to the boundary of the observable universe versus the entire universe. Since spacetime is expanding faster than light outside of the observable universe there is nothing we can know about that area and yet someone living in that area certainly sees nothing unusual.

What it all boils down to is that this paradox exists for coordinate time but not for proper time. What this means is that we cannot say anything whatsoever about the two reference frames as they are causally disconnected and the proper times are only defined in the individual frames. There is a coordinate system called the Finklestein FOR that sort of resolves this issue but only mathematically, it does nothing for our intuitive understanding whatsoever. My advice is don't even think about this stuff as it is only understandable mathematically.

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