[ExI] SETI for Post Singularity Civ
johnkclark at gmail.com
Mon Jan 19 18:30:39 UTC 2015
On Sun, Jan 18, 2015 at 10:07 PM, Anders Sandberg <anders at aleph.se> wrote:
> If we have a sphere with radius r with internal volume V(r) of
> computromium, the surface must have V(r)/X area devoted to cooling pipes to
> get rid of the heat. This can be formulated as the differential equation:
> V'(r)= 4pi r^2 - V(r)/X. The solution is V(r)=4 pi ( r^2/X^2 - 2 r/X - 2
> exp(-r/X) + 2) X^3. This grows as r^2 for larger r, so the average
> computronium density falls as 1/r as the system becomes larger.
Thanks Anders, like most of your posts that was very interesting. Due to
heat and speed of light issues there is a practical limit on how large a
brain can get, so rather than a Jupiter Brain in the future it might be
more like a population of Asteroid Brains. But that isn't quite right
either, the communication bandwidth between the brains would be enormous,
far larger than the bandwidth humans use to communicate to each other even
proportionally, even taking their smaller brain size into account. So we'd
have something new, less than one unified mind but more than a group of
totally separate minds working together.
John K Clark
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