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\title{Life at the Limits of Physical Laws} 

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\author{Robert J. Bradbury
\skiplinehalf 
Aeiveos Corporation, Seattle, WA, U.S.A. 
\skiplinehalf 
Copyright \copyright \hspace{0.1mm} 2001, Robert J. Bradbury
}

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\begin{abstract}
Some of the problems that plague SETI research are the problems of the
abundance of liquid water planets, the probability of the development of
intelligent life, whether or not intelligent life forms develop technology,
how long intelligent technological civilizations may survive, and whether
or not interstellar travel or colonization are feasible or affordable.
These problems lead to extensive and potentially irresolvable debates regarding
the various paths species and civilizations may follow from a primitive
level to our current level and beyond.  This discussion will focus
instead on the question of what the characteristics of intelligent technological
life should be at the limits of known physical laws.  Why do this?
Well, because as Scotty observed on the Starship Enterprise, ``Captain,
I canna change the laws of physics!''.  Even if the laws of physics
do not deny the feasibility of a life form, the lack of a practical engineering
path to it may prevent its existence.  At these limits, the form(s)
that life takes may be clearer because convergent evolution could drive
civilizations into a very limited set of ecological niches.  An
architecture for civilizations that hits many of these limits will be proposed.
Its characteristics include thought capacities in excess of a trillion
trillion times that of an individual human, survival times of trillions
of years and astronomical observational capacities trillions of times greater
than our civilization.  Such civilizations, should, over time, become
the dominant population of galaxies.  Our own civilization may reach
this state within this century.  The impact of these conclusions on
classical radio and optical SETI verses astrometric and occultation astronomy
will be discussed.
\end{abstract}

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\keywords{Dyson shells, evolution, Matrioshka Brains, megascale engineering,
nanotechnology, optical SETI, radio SETI, technological civilizations}

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\section{INTRODUCTION}
\label{sect:intro}  % \label{} allows reference to this section

For the past 40 years SETI proponents have searched for extraterrestrial
civilizations unsuccessfully.  Various explanations have been proposed
for this.  These include:
\noitemsep
\begin{itemize}
\item the number of stars that have been searched is small;
\item the \emph{Rare Earth} hypothesis\cite{PDW2000} limiting the abundance of
      intelligent life;
\item the Earth is under quarantine \cite{JAB1973};
      being ``cultivated'' for information \cite{DGS1982};
      or is subject to interdiction \cite{MJF1987}
\end{itemize}
\doitemsep

The lack of success is causing more scientists to suggest that in fact
we may be alone \cite{IC2000}, that we are the first technological
civilization to evolve in our galaxy.

This paper adopts the perspective that the glass may be much
more full than empty, i.e. that advanced technological civilizations
may be quite abundant.  In the Milky Way, 10 billion stars may
have sufficient metallicity to produce terrestrial planets
older than 5 billion years\cite{VT1982}.  Recent estimates suggest 
more than 70\% of the Earth's in the galaxy should be older than
ours\cite{CHL2000}.  If the characteristics that make our Earth \emph{special},
such as a comet intercepting Jupiter and a large moon\cite{PDW2000},
are not \emph{too} rare \emph{or} hazardous environments actually
accelerate the rate of the evolutionary development of intelligence,
then we should expect most technological civilizations to be far
more advanced than we ourselves currently are.

Here, we will propose models for advanced civilizations and explore
why their capabilities can explain the apparent lack of signals.
The reasons the prospects for \emph{communications} with
extraterrestrial intelligence (CETI) are dismal will be discussed.
Finally, the contributions that emerging branches of astronomy can
make to programs that \emph{search} for extraterrestrial intelligence
(SETI) will be explored.

\section{NANOTECHNOLOGY}
\label{sect:Nanotechnology}

Although the concept of nanotechnology was developed at about the
same time as CETI in 1959,\cite{RPF1961,GC1959} it received little
attention until 1986 \cite{KED1987}.  It has only been developed into
a robust branch of science within the last decade \cite{KED1992,RAF1999}.
While nanotechnology has had its share of detractors, it is increasingly
becoming recognized as an important area of study, one that is
intimately intertwined with organic chemistry, materials science,
biotechnology, computer science, nanoscale materials, micromechanical
and electrical systems (MEMS) and molecular electronics.  Almost every
issue of the prestigious journals {\it Science} and {\it Nature}
now contain articles involving nanoscale engineering or enabling scientific
developments.

Technological civilizations, as they develop, expand their capabilities
to both the smaller and larger scales.  Extrapolations from the current
microelectronic industry lithography scale of 0.18 $\mu$m,
along the trend predicted by Moore's Law, leads to a rather hard limit
of atomic scale manufacturing around 2040.

Molecular nanotechnology has a number of important features.
These include atomically precise assembly, self-assembly,
self-replication, self-motility and the execution of resource
acquisition, survival and reproduction programs.  Single-celled
biological organisms possess all of these properties and constitute
an existence proof that molecular nanotechnology is feasible.
The primary differences between the naturally evolved nanotechnology
found in biological systems and more robust forms envisioned in the
previously mentioned references is the use of solution chemistry
(so the precise position of all atoms is not always known)
and materials that have strengths and operating temperature
ranges that are less than the theoretical limits.

A logical progression exists for the development of molecular nanotechnology
based on alternate forms of carbon (fullerenes and buckytubes),
followed by diamond, sapphire and titanium carbide.  Progress along
these and related paths eventually leads technological civilizations to develop
an extremely large range of devices and structures that are precisely manufactured
from individual atoms.

Molecular nanotechnology enables the magical ``replicators'' of the type
seen in Star Trek.  Anything that can exist should be able to be assembled.
It does have limits however.  Heat removal constraints will limit
the production rate of assemblers operating at the atomic scale.\cite{KED1992}
And nanocomputer throughput will be limited by the amount of entropy
generating bit-erasure that is done that must removed as heat.\cite{RL1961}

\section{SELF-REPLICATING SYSTEMS}
\label{sect:SelfReplicatingSystems}

Some of the first work on the feasibility of artificial
self-replicating systems was done by John von Neumann in the 1940s,
though it was not published until the mid-1960s \cite{JVN1966}.
NASA later studied manufacturing systems that could replicate
themselves for space colony development\cite{RAF:1982}.  Though this
study appears to have been forgotten by many in the aerospace industry,
it is widely known among nanotechnology researchers.

Biological self-replicating systems (e.g. bacteria) have mass doubling
times as short as 20 minutes \cite{TDB1991,JCS1990}.  These are certainly
sub-optimal as these genomes contain several thousand genes while
the minimal genome for self-replication may only require $\sim350$ genes
\cite{ARM1996}.  We now have sequenced the genomes of dozens of these
microorganisms and as a better understanding of the function of all
of the genes they contain develops, the design requirements for robust
self-replicating systems will be made clear.

The limits for the mass doubling times are less clear.
Estimates as short as 2 milliseconds using assembly line methods
have been postulated \cite{JSH1999}, though these rates are likely
to be constrained by heat removal requirements.  The difference
between the energy levels of high energy state intermediates
and the final bonded energy levels determines the amount of
waste heat produced in chemical reactions.  Initial designs
for self-replicating systems are likely to be less
efficient and therefore constrained to operate more slowly
than systems that are developed over time that utilize
optimized reactions that minimize heat production.

\section{THE DEVELOPMENT OF ADVANCED TECHNOLOGICAL CIVILIZATIONS}
\label{sect:StagesOfDevelopment}

A Kardashev Type-I planetary civilization \cite{NSK1964} (KT-I) reaching the
limits of resources on its planet should begin the transition to a
Type-II stellar civilization (KT-II).  Freeman Dyson first suggested this
over 40 years ago \cite{FJD1960,FJD1960b}.  He pointed out that
at the low growth rate of 1\%, civilizations would require all of
power produced by their star in only 3000 years.  If the growth rates
in power consumption seen by our civilization over the last 200 years
continue, the time for us will be closer to 1300 years.  With the
development of space stations relying on solar power, humanity has
begun this transition.

\subsection{Dyson Shells}

Unfortunately Dyson limited his vision to the construction of ``biospheres''
around stars. This has resulted in misdirected searches for Dyson shells
since that time.\cite{RJB2001a}  Even if a civilization utilizes most of its
planetary matter to construct biospheres, it is still likely to want to lay
claim to all of the energy being produced by the star.  This is simply because
there are a number of very useful things that can be done with that
amount of energy.  Little thought seems to have been devoted to what
applications might be enabled by civilizations with $\sim10^{26}$ W at
their disposal.  Some the author has considered include:
\noitemsep
\begin{itemize}
\item Interstellar probe or ship propulsion:
\begin{itemize}
\item 1\% allows the annual launch of 10 billion Daedalus flyby probes\cite{PD1978}
to nearby stars.
\item 10\% allows the annual launch of 1 billion personal starships
      (Daedalus type ships with sufficient fuel to decelerate in
       the target system).
\end{itemize}
\item Interstellar communication:
\begin{itemize}
\item 1\% allows 10 billion 100 TW laser beams
\item 10\% allows circulating photonic memory of $10^{22}$ TBytes/sec
\end{itemize}
\item 10\% allows reconfiguring of all the atomic bonds in a solar system in $\sim500$ years
\item Long term navigation of entire solar systems to avoid hazards
such as gamma-ray bursts, supernovas, collisions with wandering planets, etc.
\end{itemize}
\doitemsep

\subsection{Matrioshka Brains}

Using self-replicating nanomachinery, it is feasible to consider
disassembling the planets to harvest all of the solar energy available.
This is merely our current satellite and space station construction activities
taken to their logical limits.  The following table contains estimates of the
usable material in various solar system objects and the results of some
simulations of planetary disassembly.  The areal density of the solar arrays
used for computing these disassembly times was 1 kg/m$^2$, which is slightly
better than best available arrays we now manufacture.  It was also assumed that
the collectors remained in orbits with radii similar to that of the planet.


\begin{center}
\begin{tabular}{|l|c|c|c|c|r@{.}l|}
\hline
  &
 \multicolumn{1}{|c|}{\bf Useful} &
 \multicolumn{1}{|c|}{\bf Orbital} &
 \multicolumn{1}{|c|}{\bf Disassembly} &
 \multicolumn{1}{|c|}{\bf Exponential} &
 \multicolumn{2}{|c|}{\bf Disassembled}
\\
 \multicolumn{1}{|c|}{\bf Body} &
 \multicolumn{1}{|c|}{\bf Mass} &
 \multicolumn{1}{|c|}{\bf Radius} &
 \multicolumn{1}{|c|}{\bf with $10^{26}$ W} &
 \multicolumn{1}{|c|}{\bf Self-disassembly} &
 \multicolumn{2}{|c|}{\bf Areal Density}
\\ \hline
 \multicolumn{1}{|c|}{} &
 \multicolumn{1}{|c|}{(kg)} &
 \multicolumn{1}{|c|}{(km)} &
 \multicolumn{1}{|c|}{time} &
 \multicolumn{1}{|c|}{time} &
 \multicolumn{2}{|c|}{kg/m$^2$}
\\ \hline
Mercury	& $3.3\times10^{23}$ & $5.8\times10^{7}$ & 5 hours & 14 days & 7&8 \\ \hline
Venus	& $4.9\times10^{24}$ & $1.1\times10^{8}$ & 16 days & 114 days & 33&1 \\ \hline
Earth	& $5.9\times10^{24}$ & $1.5\times10^{7}$ & 22 days & 179 days & 20&9 \\ \hline
Mars	& $6.4\times10^{23}$ & $2.3\times10^{8}$ & 12 hours & 176 days & 1&0 \\ \hline
Jupiter	& $1.9\times10^{27}$ & $7.8\times10^{8}$ & 563 years & 691 years & 9&6 \\ \hline
Saturn	& $5.7\times10^{26}$ & $1.4\times10^{9}$ & 60 years & 181 years & 3&4 \\ \hline
Uranus	& $8.7\times10^{25}$ & $2.9\times10^{9}$ & 3.3 years & 223 years & 0&7  \\ \hline
Neptune	& $1.0\times10^{26}$ & $4.5\times10^{9}$ & 8.2 years & 624 years & 0&32 \\ \hline
Pluto	& $1.3\times10^{22}$ & $5.0\times10^{9}$ & 2 minutes & 266 years & 0&000037 \\ \hline
Asteroids & $5.9\times10^{21}$ & $4.1\times10^{8}$ & very fast & very fast & 0&0025 \\ \hline
\end{tabular}
\\
\emph{These numbers should be used for relative comparison purposes only. \\
They are subject to change as the simulation models are improved.}
\end{center}
The exponential growth allowed by self-replicating nanomachinery
and the increasing amount of power that can be delivered
back to the planetary body as the solar array grows, allow relatively
short disassembly times.\footnote{The actual limits depend in part on
how thin the solar collectors might be made.  The theoretical
limits\cite{KED1992b,FJD1995} are around $10^{-3}$ kg/m$^2$ and might
be approached with space-based manufacturing methods.  There is
a problem that towards the end of the dismantlement process the heat
capacity of the planet is exceeded.  If creative solutions for heat
removal from the planet are developed, disassembly times could
be even faster.  A more detailed discussion of these issues may be
found in \emph{Planet Disassembly}\cite{RJB1998}.}
Once a fully functional star enshrouding 
collector array is built the other planets can be disassembled at
an even faster rate because the full power of the star is available.
One conclusion that may be drawn from this is that within our
solar system, almost any major body provides sufficient material
to enshroud the sun.  Even the asteroids may be sufficient if
the collectors are moved somewhat closer to the sun.  So it seems
likely that in most solar systems in which technological civilizations
find themselves they will have the resources to harvest the power
output of their star.  Another conclusion is that when a civilization
``decides'' to make the KT-I (planetary) to KT-II (stellar) transition
it \emph{may} do it \emph{very} quickly.


Once the material found in solar systems is lifted out of its
respective gravity wells, a long process of relocating it into
optimal orbits is required.  This may involve moving carbon
(derived from methane), oxygen (derived from ice) and
nitrogen (derived from ammonia) into the inner regions of
the solar system and moving metals with desirable magnetic or
superconducting properties to the outer regions of the solar
system.  As this is done, increasing amounts of power are
dedicated to the construction and operation of nanocomputers
associated with the power collecting satellites orbiting the star.
The nanocomputers are interlinked with one another via
arrays of VCSEL lasers and CCD detectors.  Over time
a multi-layer Dyson shell architecture arises where each
layer operates at a specific temperature that is related
to the elements available and computer architectures
chosen to perform calculations.  These architectures may range
from high-temperature mechanical-logic computers near the star to
very cool computers utilizing superconductor based logic
at distances light-hours from the star.

This solar system scale supercomputer manufactured from atomic
scale parts has been named by the author a ``Matrioshka Brain''
(after the nesting Russian dolls).
The next table compares the computational and memory
capacities of a human and humanity with a single
node of a Matrioshka Brain and the entire Matrioshka Brain.

\begin{center}
\begin{tabular}{|l|c|c|c|c|}
\hline
  &
 \multicolumn{1}{|c|}{\bf Human} &
 \multicolumn{1}{|c|}{} &
 \multicolumn{2}{|c|}{\bf Matrioshka Brain }
\\ \cline{4-5}
 {\bf Characteristic} &
 {\bf Brain} &
 {\bf Humanity} &
 {\bf Node} &
 {\bf Solar System}
\\ \hline
Operations / second &
 $10^{14} - 10^{17}$ &
 $10^{24} - 10^{27}$ &
 $> 10^{21}$ &
 $> 10^{42}$ \\ \hline
Bits of memory &
 $10^{9} - 10^{20}$ &
 $10^{19} - 10^{30}$ &
 $> 10^{24} $ &
 $> 10^{45} $ \\ \hline
\end{tabular}
\end{center}

It can be seen that there are rather large scale differences.
How does this impact the probability of CETI?
A couple of examples of the gap between a Matrioshka Brain at
the Kardashev Type-II civilization level and our pre-Type-I
civilization level may be useful:
\begin{itemize}
\setlength{\itemsep}{-0.5mm}
\item{The thought capacity of a Matrioshka Brain is so large that in
a single microsecond it exceeds the combined thought capacity
of all \emph{Homo sapiens} that have ever lived.}
\item{The difference between the neuron count of a human and a nematode
is $\sim10^8$.  The difference between the thought capacity of a
Matrioshka Brain and a humanity is $> 10^{15}$.}
\end{itemize}
Since the combined thoughts of humanity are \emph{puny} relative to
the capacity of a Matrioshka Brain and we don't really ``communicate'' with
nematodes, it seems very doubtful that these advanced entitites
would have any desire to communicate with us!

They may also be a fundamentally different type of intelligence.
Between humans, our communication bandwidth is very asymmetric.
Our primary input is visual and its capacity may be several megabytes
per second.  Our outputs, such as speech or typing, use completely
different mediums and are limited to around a few dozen bytes per second.
In contrast, the innermost internode communication capacities
in a Matrioshka Brain are tens to millions of terabytes per second
and they may have equivalent input and output bandwidths.  So the
individual "nodes" are likely to function as a more tightly 
integrated mega-mind than humanity, in its current form, ever could.

Further details of this are discussed in papers at the
\emph{Matrioshka Brain Home Page}\cite{RJBMBHP}.

\subsection{Physical \& Engineering Limits}
\label{sect:PhysicalLimits}

The theoretical limits of megascale computing have been
discussed by Moravec\cite{HPM1987b}, Sandberg\cite{AS1999}
and Lloyd\cite{SL2000}.  Reaching these theoretical limits
requires sub-atomic scale engineering abilities -- something
that may not even be feasible.  If it is feasible, ``the step from
normal matter is likely to be big and difficult'' as Moravec points out.
So we can expect that extraterrestrial civilizations
are likely to reach a developmental plateau at atomic
scale engineering.

Previous papers\cite{RJB1999,RJB2000} discuss the megascale
engineering limits in more detail, particularly with regard
to Matrioshka Brains.  Here we will simply
summarize some conclusions that have been reached.
\noitemsep
\begin{itemize}
%% \\setlength{\itemsep}{-0.5mm}
\item{There is insufficient material in the solar system, separate
from the sun, to optimally utilize the energy it produces.}
\item{The element abundances are unlikely to be optimal for designing
the best computing architectures.  So massive breeder reactors will be
required to address this situation over the long term.}
\item{Computing architectures consisting of all the non-stellar material
in the solar system can be completely disassembled and reassembled
in decades once the material is extracted from the gravity wells
(if all of the solar energy is dedicated to this purpose).}
\item{Cooling requirements set a hard limit computational density.}
\item{The speed of light sets a hard limit on computational throughput.}
\item{A small fraction of the material of the solar system provides
KT-II level civilizations with billions of lunar diameter telescopes.
Because these can be arrayed as an interferometer, their observational
capabilities are rather staggering.}
\item{They would be able to launch billions of small interstellar
probes or ships or matter data "packets" annually.}
\end{itemize}
\doitemsep
Communication between Matrioshka Brains is a formidable challenge.
Even using a 40 GHz signaling rate, the limit of current semiconductor
laser technology, billions of years would be required to transmit 1 trillionth
of its knowledge base.  If the entities were in relatively close
proximity to each other, and large arrays of lasers are used, it
could be feasible to exchange a not-insignificant fraction of your
knowledge base using a sophisticated symbolic communications shorthand.
It is doubtful that we could interpret this even if the entities
were so careless as to allow communication photons to leak off into space.
Unless methods like this are used, it is doubtful that anyone ever
gets past the first page of \emph{Encyclopedia Galactica}.


\subsection{Mind Uploading}
\label{sect:Uplaoding}

The author is aware of four respected scientists who
are of the opinion that ``mind uploading'',
the transfer of mental thinking capacity and consciousness
from the human brain into a computer, is likely to be feasible.
These include Marvin Minsky, Hans Moravec, Ray Kurzweil and
W. Daniel Hillis.  Two of these individuals have explored how
this might be accomplished at the physical level.\cite{HPM1987,RK1999}

This possibility means that we can foresee a logical progression
in the development of technological civilizations.  First they
develop to the point of understanding the laws of physics and
chemistry.  Then they comprehend their basic biology and their
information carrier (e.g. DNA).  Then they develop computing
machinery and a means for transferring their minds into those devices.
If they choose to distribute their intelligence over a large
enough physical volume (planetary volumes for example) or
simply make backup copies of their intelligence (on opposite
sides of a solar system), they have effectively immortalized
themselves because local accidents cannot destroy their ``minds''.
Over time, accidents will eliminate individuals and civilizations
that do not follow this path.  We can thus predict that that
civilizations that do follow this path, \emph{should}, at some point,
become the dominant populations in galaxies.

\section{CETI vs. SETI}

Many previous CETI projects have assumed that extraterrestrial
civilizations of interest to us, should produce electromagnetic
radiation, either by accident or intent, that we could detect.

Those signals produced by accident would be similar to those that
we ourselves currently produce.  The low power levels of these signals
makes them difficult to detect at moderate interstellar distances.
In addition, terrestrial interference conspires against radio searches
for signals similar to our own.  Leakage signals
would presumably decrease as a civilization matures.
As a civilization develops more optimized means of transmitting
information such as microwave, local lasers, fiber optics,
low power multi-hop radio, etc. wasteful practices such as
high power broadcast signals should diminish.
Because leakage signals come from civilizations around our level,
and are not designed to be received and understood, they are
presumably of less interest than intentional communications
from more advanced civilizations.

Most radio CETI searches to date have been conducted with
the assumption that an advanced civilization would be
transmitting at frequencies at which others might be listening
and that they are advanced enough and/or kind enough to continue
transmitting for year after year until we hear them.
This cost of this effort is usually justified with some
hand-waving that we \emph{have} transmitted signals and we would
want to do it continuously if we could afford it.  But
would we?  If we had a choice of transmitting to a more
advanced civilization or a less advanced civilization
which would we choose?  Our current CETI strategy seems
to suggest we are looking for a Galactic Club handout.
Situations where we communicate with those less advanced
than us are cases where the difference is not that great --
probably only a few orders of magnitude for human infants
and such animals as chimpanzees, dogs and cats.
What rationale is there for extraterrestrials many
orders of magnitude higher on the intelligence scale
behaving any differently towards us than we do towards
most of the other species on the planet?

Due to the lack of success in CETI at radio frequencies and the possible
advantages offered by the visible frequencies, CETI searches are
now conducted in both regions.  However both radio and optical
CETI operate by pointing their telescopes at \emph{visible} stars!
The civilizations that would seem best able to afford the power
costs of interstellar communication would be those who have the
greatest amount of power at their disposal, i.e. those that have
enshrouded their stars with power harvesting devices.  This process
causes the star to grow dim or even disappear (at visible wavelengths).
The lack of success in previous CETI programs is not surprising
because the stars being examined most likely contain no civilizations
or civilizations below our level of development.

Civilizations that develop much beyond our level should
make the KT-I to KT-II transition.  After that they have all
the power output of a star at their disposal.  Using their telescopes
they can see any civilizations with whom they might want to communicate.
Civilizations that value their time and energy will attempt
to communicate with more intelligent civilizations or civilizations
with access to information that is otherwise unavailable to them.
There seems to be little justification for directing time or energy
towards civilizations that are lower than ``worms'' from their
viewpoint.

The phase space of devices that may be constructed
using nanotechnology on solar system scales and the variety of
underlying computing architectures that may be adopted by
advanced civilizations may produce a strong motivation for leaving
developing civilizations untainted to promote galactic ``diversity''.
The development of a civilization along its own path is likely
to foster such diversity because as the saying goes, ``Necessity
is the mother of invention''.  Premature exposure of developing
civilizations to advanced extraterrestrial technologies could 
drive such civilizations onto previously explored development
paths resulting in a reduction of the exploration of the phase space.

Thus the Zoo Hypothesis\cite{JAB1973} may be correct if a Matrioshka
Brain is using our planet as the subject of a controlled experiment.
Alternatively, if the extraterrestrials desire to maximize the
information content of the universe\cite{DGS1982} then the
Interdict Hypothesis\cite{MJF1987} is the likely explanation
for the lack of signals or extraterrestrial artifacts.

These lines of reasoning argue that CETI at our level of
development is unlikely to succeed.  If that is the case
what are the prospects for SETI?

\subsection{Gravitational Microlensing}

Astronomers have failed to account for the missing baryonic
dark matter for many years.  The gravitational microlensing
surveys such as the MACHO project \cite{CA2000:ApJ542,CA2000:ApJ734}
are finding objects that cannot to be attributed to brown dwarfs
or white dwarfs \cite{DBF2000:ApJ265}.  A Matrioshka Brain
built around a central star, will still cause a gravitational microlensing
effect.  When traditional astronomical explanations for these objects
are failing to produce results, it may be time to consider artificially
engineered objects as possible sources.  Due to the problems of the
short lifetime of larger stars and the large material requirements
for the power collectors and radiators of the outer shells of
Matrioshka Brains there may be an optimal mass range for Matrioshka
Brains that is somewhat smaller than the sun, yet larger than
a brown dwarf.  This concept is consistent with the MACHO observations.

Efforts to combine the microlensing observations with IR and occultation
astronomy (discussed below) could yield valuable information with
regard to what the microlensing objects in really are.

\subsection{Infrared Astronomy}

It was Dyson who observed that sun enshrouding advanced civilizations
can be observed by their infrared heat signature\cite{FJD1960}.
He thought such civilizations have radiation peak emissions
in the near IR around 10 microns\cite{FJD1960}, consistent
with a liquid-water based civilization.  If the civilization
relocates itself into nanocomputers its possible range of
operating temperatures becomes much greater.
Marvin Minsky, in a discussion with Dyson,\cite{FJD1973}
and later Suffern\cite{KGS1977} both observed that the most efficient
energy utilization strategies from a thermodynamic standpoint
would be to radiate the waste heat at temperatures slightly above
the background radiation temperature.  This will make them very
difficult to observe directly.

Civilizations must go through a development stage before they
reach this very cool state.  In solar systems where civilizations
choose to dedicate much of the early material harvested to computer
construction rather than power collection, in systems
that are metal resource poor, and in systems where large
amounts of power must be dedicated to material relocation
to optimum temperature ranges -- the process of the star
being enshrouded may not occur quickly.  It may take
decades, centuries or even millennia.  In these systems
we will observe the star slowly growing darker and
darker, radiating increasingly more amounts of its
radiation in the infrared, until finally it ``disappears''.
We can use measurements from astrometric and other
long term survey missions to identify stars with
these characteristics and analyze their IR emissions
for this type of process.  The final state of the system
will depend on the amount of construction material
available.  It does not appear that we could currently
fill the outermost shells of a Matrioshka Brain and we
would end up radiating at a temperature below that of
liquid nitrogen, but above that of the microwave background
radiation.

So there is a possibility of SETI catching civilizations
when they are making the KT-I to KT-II transition.  Stars possessing
the slowly varying brightness characteristic are known as
Long-Period Variable stars.  The General Catalog of Variable
Stars\cite{GSVC1997} lists thousands of stars in these categories
and more are being discovered every day.  Astronomers who study these stars
have recently reported that of the stars in this group, there are apparently
more stars getting dimmer than are getting brighter\cite{JAM1998}.
While this may be a characteristic of the stars in this class,
these stars should examined in greater detail, particularly at
infrared wavelengths, for signs of astroengineering activity.  As the number
of stars observed by current and planned surveys increases from the
millions to the billions, we will begin to accumulate the data necessary
to determine the frequency at which this transition occurs and therefore
begin to set limits on the abundance of civilizations slightly
ahead of our own level in the galaxy.

\subsection{Occultation Astronomy}

Dyson has proposed the value of occultation astronomy in the hunt
for comets and planets\cite{FJD1990,FJD1992}.  At the time
his proposals were made, the technology to implement them
would have been very expensive.  That is not true today.
Dyson did not consider the possibility of dark objects traveling
through the galaxy that had the size of solar systems.  Nor did
he consider whether KT-II level civilizations might build billions
of telescopes the diameter of the moon (or a much greater number
of telescopes of more modest proportions).

It appears clear that if advanced civilizations do exist and
expand their capabilities in the ways described in this paper
that occultation astronomy may be an excellent way to conduct SETI.
Ultimately a combination of the three approaches -- gravitational
microlensing, infrared and occultation may be needed to provide
concrete identification of advanced technological civilizations.

Highly evolved individuals of advanced technological civilizations
may decide to sever their connection with their ``parent'' Matrioshka Brain
in which they ``live'', even though this would require sacrificing much
of its tremendous computational capacity and memory.
They may choose to wander the galaxy in search of novel
sources of information\cite{MGDS1981}.  During their long interstellar
voyages most of the systems on their ship may be suspended with
little waste heat being produced.  Until we attain the level of a
KT-II civilization ourselves our chances of detecting these ships
is virtually zero unless one shows up directly above the Earth tomorrow.
We are at liberty to suspect their possible existence due to the lack of
robust explanations for the missing baryonic dark matter.


\section{CONCLUSIONS}
\label{sect:Conclusions}

Nanotechnology based self-replicating machinery may disassemble
planets and turn entire solar systems into optimized computronium.
The rate at which this occurs depends upon the star type, the masses
of the natural objects and the element requirements and orbits
of the final computing elements.  Systems with large numbers of
small bodies (e.g. asteroid belts), or small planets located near
stars, may theoretically enshroud their stars in weeks to months.  Systems
with more massive or metal poor bodies will require longer periods to 
accomplish this.  The time it takes to disassemble large planets,
redistribute the matter in solar systems and breed optimal element
mixes for computronium are the constraints on interstellar colonization,
not the speed-of-light and high costs of interstellar travel as is
more commonly thought.

Advanced civilizations based on an optimized computronium
infrastructure have little need for conversations with mere
humans or even human civilizations whose thought capacities are
trillions of times less than their own.  In contrast, they may
have an interest in leaving our civilization to its own unique development
path so as to increase the potential diversity of, and information
content in, the galaxy.  This is due to the large phase space of
what can be constructed using molecular nanotechnology and the
difficulties in proving that the computational architectures previously
adopted to support advanced civilizations are, in fact, ``optimal''.
Advanced civilizations may need less developed civilizations for the
``dumb luck'' they may have in developing an unexplored quadrant
of the phase space of what may be designed and assembled in
support of the evolution of intelligence.

The billions of large telescopes advanced civilizations may
construct allow them to observe the observable regions of
their galaxy at very low cost.  They may also identify and
communicate with civilizations that have information regarding
the locations of objects that are invisible from their
location.  Such information is of great value in calculations
of the long term motion of objects in the galaxy and is essential
for civilizations seeking the lowest cost sources of additional
matter and energy as well as seeking to avoid galactic hazards
such as black holes or supernovas.  This is due to the 
large energy cost and long time periods required to alter
the course of entities with the mass of solar systems.

The accelerating pace of technology development seems to be
driving us towards the singularity\cite{VV1993}.  An ultimate
manifestation of this will be the conversion of our solar system
into a Matrioshka Brain.  Even if \emph{Rare Earth}\cite{PDW2000}
is correct and we are one of a few rare intelligent technological
civilizations in the galaxy, implying that both CETI and SETI will
fail, and even if the missing baryonic dark matter and gravitational
microlensing observations have perfectly ``natural'' explanations --
the development path outlined here merits further study as our
civilization seems following it.
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\acknowledgments     %>>>> equivalent to \section*{ACKNOWLEDGMENTS}       
 
I would like to acknowledge Anders Sandberg for his groundbreaking
explorations of megascale intelligent superentitites and thank
the many Extropians and transhumanists who have made fruitful
contributions to these ideas.
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