Wednesday, June 29, 2011

Planck's Length and Pixels

After explaining to someone the multidimensional Calabi-Yau manifolds, which are curled up so small that they are below the observable length (Planck length), he remarked something quite insightful:

"The Planck length is like the pixel of the universe."

How far can we "zoom in" on physical things in the universe? Is there some stopping point, where one can't zoom in anymore, because he or she is at the irreducible building-block of the universe? Or can one keep zooming in further and further, finding more and more complexity, as if he or she were zooming in on a Mandlebrot fractal?