I'm a little tired right now and going to have a bit of a lay down, but I'd point out that Europe's increasing economic parity, and then slowly gaining economic superiority, over the rest of the world would have to be one hell of a coincidence to match up nearly perfectly with the discovery and exploitation of an entire continent's worth of resources. Vitally, the Americas provided Europe with trade goods (or the appropriate environment for growing them) that the rest of the world wanted - a recurring weakness of Europe in European history.
Also Real Mughal Hours