On Mon, Nov 18, 2019, 2:50 PM <[email protected]> wrote:

>
> What makes you so sure physics doesn't have an exponential singularity
> curve for approx. Earth? Nanobots will solve the data need, the computing
> need, and the biological experiment need, immediately! Full data-recursion.
>

No they don't. Nanobots are 10^8 times more energy efficient than
transistor computing and marginally more efficient than biology according
to Freitas. https://foresight.org/nano/Ecophagy.php

They have the potential to displace DNA based life including humans. This
is a completely new paradigm, accelerating evolution through engineering.
Depending on our attitudes toward uploading, we might deliberately engineer
our own extinction. Or accidentally.

But this is not a Singularity.

A singularity is where a function goes to infinity. This can be either
intelligence (expected reward rate) or its components, knowledge and
computing power. This can't happen because:

1. The universe has finite computing power (10^120 quantum operations and
10^92 non reversible operations over its lifetime, 10^90 bits of storage).
Eventually your upload will succumb to the heat death of the universe. If
it's any consolation, an infinite number of copies of you probably exist in
other universes that Occam's razor suggests exists.

2. Moore's Law will be slowed by speed of light delays in seeding other
planets in going from Kardashev level II to III.

3. Moore's Law will be slowed in the 2020's by our inability to shrink
transistors further. Nanotechnology won't be ready in time to replace it.

4. A Singularity supposes that each doubling of technology takes half the
time or quadruple the rate. The solution of the differential equation f' =
f^2 has the form 1/t, which has a singularity at t = 0. But in reality,
intelligence increases with the log of knowledge and computing power. The
solution to f' = f log f grows faster than exponentially but still does not
go to infinity in finite time.


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