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My favourite black hole fact, coming from the character of the space-time tensor and how it changes, is that as you approach a black hole, time goes sideways.
I don’t think my lecturer put it quite that way, but he showed that as you get close, the time dimension comes to look like a space dimension in the tensor, and the space dimension that points into the black hole, looks like a time dimension!
My favourite black hole fact, coming from the character of the space-time tensor and how it changes, is that as you approach a black hole, time goes sideways.
I don’t think my lecturer put it quite that way, but he showed that as you get close, the time dimension comes to look like a space dimension in the tensor, and the space dimension that points into the black hole, looks like a time dimension!
Yeah, time-like paths are mind bending.
I’ve always though about that as the interior of the black hole has been left behind in the time direction, like a sausage casing.