This is the

upper limit of

information that, with a given

energy, a region can hold.

Make sense? Wait, there's more.

This information is due to different Quantum states. Because of uncertainty, one can develop a bound of the form for use with a sphere:

I <= (2 Pi E R)/(hbar c ln2)

I ==information

E ==energy

R ==radius

hbar ==Plank's constant

c ==, of course, the speed of light

Also be written as

I <= k M R

M == mass in the region

k == constant of ~2.57686*10^43 bits/(m kg)

This was developed by J.D. Bekenstein (aka Jacob Bekenstein, an Israeli physicist), having to do with entropy in a black hole related to their area.

Got it? Now, this is all well and good, but what does it mean? It means that all systems have a finite complexity. This is a natural consequence of Heisenbergâ€™s Uncertainty Principle. How this occurs is rather weird and I really don't understand it.

You can use this bound to determine how much memory you would need to store a person in, for example, a computer. (For reference, the avg. person would take up 10^45 bits, a lump of sugar: 10^20 bits.{I have since read that 10^45 would be enough to hold ALL humans. I'll try and clear this up soon.) This replication wouldn't be really good, it would be perfect. (For issues w/r/t this, see ontological free will and emulated quarks.)