cramming megabytes into a hydrogen atom

Lyle Burkhead (
Sun, 10 Nov 1996 01:38:05 -0500 (EST)

Anders Sandberg wrote,

> if you try to store information in a spherical volume with a
> finite amount of matter/energy inside, the uncertainty relations tell you
> that there is a limit of how many distinguishable states there can be
> inside, ergo the amount of information you can store there. This is the
> Bekenstein Bound, which says that the amount of information that can be
> stored is proportional to the radius and the energy inside the volume
> (it is a very loose bound,
> *you can cram several megabytes into a hydrogen atom* (!!!)