[ExI] Von Neumann Probes

[John Clark]

On Sun, Jan 25, 2026 at 7:21 PM Jason Resch via extropy-chat <
extropy-chat at lists.extropy.org> wrote:

*>> If you try to go beyond Bremermann's Limit the energy/mass density
>> would become so high that your computer would collapse into a Black Hole,
>> and then information could go in but it couldn't get out so the machine
>> wouldn't be of much use. *
>
>
> *> I think here you are thinking of the Bekenstein bound.*




*No. Bremermann’s Limit and Bekenstein’s Bound are talking about different
things, although the end result of both is the same.Bremermann’s Limit
tells you how many bits per second a given mass of matter can process
information before it collapses into a Black Hole. The formula is:*
C^2/h = 1.35*10^50 bits per second per kilogram.

*Bekenstein’s Bound tells you how much Shannon information (a.k.a.
entropy) you can fit into a sphere that has the surface area of 4πR^2** before
it collapses into a Black Hole. The formula is: *

*I= (2*π*R*E)/[(h/2π)*C*ln2]*


*It's interesting that the maximum amount of information you can fit into a
sphere is proportional to the sphere's area, not to it's volume as you
might expect. *

*John K Clark*


>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.extropy.org/pipermail/extropy-chat/attachments/20260126/ce414694/attachment.htm>