Consistent Histories

I have a very hand wavy idea of how the consistent histories approach to QM works, and if anybody is interested I found a very clear article that describes the logic behind the theory...now, I read in 'three roads' by Lee Smolin, that if the consistent histories theory is correct, that there is a chance that dinosaurs never roamed the earth, that the universe could go from classical to a non-classical system, and all sorts of odd goings on. I like to keep an open mind, but wtf.

I'm nowhere near the level to understand this mathematically (part time, first year undergrad physics student) so I only have layman books and articles to keep me going until I get to a more advanced level, but can anyone explain this, what I get from the article doesn't assume what I read in 'three roads' so what exactly is going on here...

http://quantum.phys.cmu.edu/CHS/quest.html