If there is a minimum physical length, that is a planck length, does that mean that nothing is technically continuous? Or, is it possible to imagine 'half a planck length'?
That's a great question. I'm not sure how motion (and thus transfer of information) would be possible in a discrete universe. A somewhat related question is whether the universe is the result of computation. Many thinkers have chimed in about the physics and philosophy of this sort of thing:
I think of it as: Newtonian physics makes down to a certain scale where it is no longer accurate. Quantum makes sense down to a Planck length where beyond that, we may need different theories.
http://en.wikipedia.org/wiki/Fredkin_finite_nature_hypothesi...
http://en.wikipedia.org/wiki/Digital_physics
http://en.wikipedia.org/wiki/Digital_philosophy