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Happy to puzzle through the science with you, if that might help. Singularity's actually been vetted by some big guns in the world of black hole physics: CalTech's Kip Thorne, Hebrew U's Jacob Bekenstein, MIT's Scott Hughes, so I'm pretty confident the science is accurate. How well I explained it, though, is up to the reader.
Free podcast of Singularity at http://www.podiobooks.com/title/singularity