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Hi Steven,
I'm not questioning your formula that you used, but I find it hard to believe it takes nearly 2 Billion years for an observed object to travel 20Km falling into a black hole.
If you had said it was 20 Sec's vs 16 Sec's, I would have said that sounds reasonable.
I understand that it is from a close observers point of view where time slows down, but its still mind boggling.
Regards
Bill
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