According to Freitas, gray goo replication speed is limited by the energy
and heat dissipation. He estimates ecophagy would take 20 months to run to
completion while raising the Earth's temperature by 4 C. Faster systems
would run hotter.
https://www.rfreitas.com/Nano/Ecophagy.htm

Atoms stick together. It takes around 10^-19 J to pull apart a covalent or
metallic bond, whether in living cells or nanobots. The biosphere has about
10^41 carbon atoms that cycle between plants and CO2 every 5 years. That
represents 300 TW of carbohydrate production, out of the 90,000 TW of
sunlight available at the Earth's surface. Solar cells are already 20-30%
efficient, enabling nanotechnology to out complete DNA based life, not even
considering other energy sources.

But according to Moore's law, this technology is about a century away,
assuming global computing power doubles every 2-3 years. There are on the
order of 10^37 bits of DNA and 10^39 amino acids in the biosphere, with
replication and transcription rates of 10^29 and 10^31 per second
respectively.

The smallest and fastest possible nanobots would be the size and speed of
bacteria, doubling every 15-20 minutes given available nutrients. Human
embryo cells with much larger DNA take 10 hours to divide. Adult cells
divide on a scale of months or years.


On Mon, Mar 11, 2024, 9:13 PM Keyvan M. Sadeghi <keyvan.m.sade...@gmail.com>
wrote:

>
> On Mon, Mar 11, 2024, 7:49 PM <immortal.discover...@gmail.com> wrote:
>
>> Doesn't need to eat the core of Earth to be grey goo takeover. Nor use
>> ALL energy or matter.
>>
>> Thoughts?
>>
>
> First iteration could be: transform(human) = cyborg
>
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