Silas - yeah, that's about the size of it.

Eliezer, when you come to edit this for popular publication, lose the maths, or at least put it in an endnote. You're good enough at explaining concepts that if someone's going to get it, they're going to get it without the equations. However, a number of those people will switch off there and then. I skipped it and did fine, but algebra is a stop sign for a number of very intelligent people I know.