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\title{Dyson Shells: A Retrospective} 

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\author{Robert J. Bradbury
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Aeiveos Corporation, Seattle, WA, U.S.A. 
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Copyright \copyright \hspace{0.1mm} 2001, Robert J. Bradbury
}

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\authorinfo{Further author information: E-mail: bradbury@aeiveos.com.
This document is based in part on previous work.\cite{RJB2000b}}

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\begin{document} 
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\begin{abstract}

More than 40 years have passed since Freeman Dyson suggested that advanced
technological civilizations are likely to dismantle planets in their solar
systems to harvest all of the energy their stars wastefully radiate into
space.  Clearly this was an idea that was ahead of its time.
Since that time, dozens of SETI searches have been conducted and almost
all of them have focused their attention on stars which by definition cannot
be the advanced civilizations that Dyson envisioned.  I will review
the data that created the confusion between Dyson spheres and Dyson shells.
The sources that disprove Dyson spheres while still allowing Dyson shells
will be discussed. The use of outmoded ideas that have biased the
few searches for Dyson Shells that have occurred will be pointed out.
An update of the concept of Dyson shells to include our current knowledge
of biotechnology, nanotechnology and computer science will be explored.
Finally, an approach to setting limits on the abundance of Dyson shells
in our galaxy using existing optical astronomical data and future optical
satellites will be proposed.

\end{abstract}

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\keywords{Dyson spheres, Dyson shells, evolution, megascale engineering,
optical SETI, nanotechnology, technological civilizations}

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\section{INTRODUCTION}
\label{sect:intro}  % \label{} allows reference to this section

In June of 1960\cite{FJD1960}, Freeman Dyson, proposed that growing
civilizations would eventually have to harvest all of the power
produced by their star.  He suggested that even at the low growth
rate of 1\%, civilizations would require only 3000 years for this process.
This would require the disassembly of the planets to provide sufficient
material to expand the living space of their ``biosphere''.
He argued that we could do this to Jupiter using the power
available from the Sun over $\sim800$ years.

To date searches for these so-called ``Dyson Spheres'' have been
relatively limited.  The most prominent being those conducted
by Drs. Jugaku and Nishimura\cite{JJ1991,JJ1993,JJ1997,JJ2000}.
In part this may be due to the difficulties in distinguishing
such advanced civilizations from naturally occuring dust enshrouded
stars that also produce large amounts of infrared radiation.
This was pointed out by Sagan \& Walker\cite{CS1966} and
reiterated by Harwit \cite{MH1973}.  Unfortunately, many astronomers
are unlikely to be aware of the distinguishing criteria
pointed out by Kardashev in 1981\cite{NSK1981}.

The purpose of this paper is to recap the history of the development
of ``Dyson \emph{Shells}'', point out where misconceptions may have
arisen and correct these so that future astronomers may be more
aware of the possibilities that exist.

\section{HISTORY}

The methods used Jugaku and Nishimura are to identify stars that
have a very slight slight excess of IR radiation relative
to visible radiation.  This strategy is based on a conclusion by
Michael D. Papagiannis, one of the founders of IAU Commission
51 (Bioastronomy: Search for Extraterrestrial Life). In 1984, he stated:
\begin{quotation}
From the above (\emph{calculations}) it follows that the
construction of a spherical shell around a star from the material present
in its planetary system is an impossible task. What is possible, however
is to have a large number of independent space structures in orbit around
the star, but these would intercept only a relative fraction ($\sim$1\%) of
the star's radiation.  Consequently such stars, would display a normal
spectrum with only a small excess in the infrared.\cite{MDP1985}
\end{quotation}
This analysis is based on a highly anthropocentric view, that
Dyson \emph{Shells} \emph{must} consist of O'Neill style habitats
\cite{GKO1974}, designed for liquid water based life forms.
This perspective may have been suggested by Dyson himself, who
in his original paper stated:
\begin{quotation}
  One should expect that, within a few thousand years of its
  entering the stage of industrial development, any intelligent species should
  be found occupying an artificial biosphere which completely surrounds its
  parent star.\cite{FJD1960}
\end{quotation}
Whether the statements of Dyson and Papagiannis are in conflict depends on
ones interpretation of the term ``completely surrounds''.  Dyson continues:
\begin{quotation}
  The most likely habitat for such beings would be a dark
  object, having a size comparable with the Earth's orbit, and a surface
  temperature of 200 deg. to 300 deg. K. Such a dark object would be radiating
  as copiously as the star which is hidden inside it, but the radiation
  would be in the far infrared, around 10 microns wavelength.\cite{FJD1960}
\end{quotation}
In Dyson's view the star is ``hidden'', while from the Papagiannis
perspective it is not.  A significant problem with both positions
is they assume that the temperature of a ``biosphere'' must
be that required for ``liquid water''.    Yet, 11 years later, during the 
joint Soviet-American conference on CETI, the flaws in Dyson's perspective
were pointed out by the Artificial Intelligence pioneer Marvin Minsky:
\begin{quotation}
  Since radiation at any temperature above $3^\circ$K is
  wasteful and a squandering of natural resources, the higher the
  civilization, the lower the infrared radiation.  We should look for
  extended sources of $4^\circ$K radiation.  There should be very few natural
  such sources.\cite{FJD1973}
\end{quotation}
Papagiannis performed his calculations and reached his conclusions
12 years after Minsky's comments were published. We may reasonably
assume that Papagiannis must have read them but that he must have
been enamored with the space colonization ideas favored by
Gerard O'Neill \cite{GKO1974}.  Or he might have limited his vision
to that suggested by Dyson's response to letters criticizing
his idea \cite{FJD1960c}:
\begin{quotation}
  A solid shell or ring surrounding a star is mechanically
  impossible.  The form of ``biosphere'' which I envisaged consists of a loose
  collection or swarm of objects traveling on independent orbits around the star. 
  The size and shape of the individual objects would be chosen to suit the
  inhabitants. I did not indulge in speculations concerning the constructional
  details of the biosphere, since the expected emission of infrared radiation is
  independent of such details.\footnote{The infrared emission is largely
  independent of the shape and architecture of the individual objects
  but \emph{not} their operating temperature!}
\end{quotation}
Dyson may be forgiven because in 1960 computers were a relatively new,
and ideas such as solar power satellites and such fields
as artificial intelligence, artificial life and genome engineering would
have been difficult to predict. But Papagiannis, who had the benefit of
the extensive CETI discussions in 1971\cite{CETI:1973}, should have considered
the possibility that a civilization might envelop its star in
lightweight solar power collectors if only to power a long-distance CETI
transmitter!  The reasons for his emphasis on the burdensome mass requirements
of primitive space habitats is unclear.  He further failed to consider
the development of robots\cite{HPM1998} or ubiquitous computing
\cite{DARPAUCI} that would enable Dyson Shell architectures quite
different from his vision.

Perhaps unknown to Papagiannis, was a detailed analysis of the characteristics
of Dyson \emph{Shells} done by Dr. K. G. Suffern of the Department of Applied
Mathematics at the University of Sydney that was published in 1977.\cite{KGS1977}
While the general tone of the analysis is to draw conclusions similar to those
of Papagiannis, Suffern concluded:
\begin{quotation}
  Of course this is not an objection in \emph{principle}
  to optically thick Dyson spheres because in principle the radiation
  from any black body with a temperature $T > 2.7^\circ$K is thermodynamically
  useful. It just points out a practical difficulty that thermodynamics imposes
  upon optically thick biospheres.
\end{quotation}
Suffern's calculations showed that O'Neill style colonies would not
effectively hide a star, but his perspective is somewhat more open
minded in that he at least allows that there \emph{may be}
architectures that \emph{could} hide the star.

It is safe to say that Dyson's use of the term ``dark object'' and the
subsequent popularization of ``hallow balls'' by \emph{Science News Letters}
\cite{FJD1960c}, rather than his intended ``shells'' \cite{FJD1960b} was
the source of much confusion.  These misunderstandings may have lead Davydov
to argue that \emph{spheres} were impossible because materials were not
strong enough.\cite{VDD1963}  He considered orbiting \emph{shells}, but thought
they were unfeasible as well due to orbital spacing requirements.
Later work by Pokrovskii\cite{GIP1973,GIP1976,GIP1979} and Ulubekov\cite{ATU1979}
linked Dyson's ideas to Konstantin Tsiolkovsky's much earlier
``\emph{Ethereal Cities}'' and suggested that shells were indeed feasible.  They
felt the outer layers could have temperatures ranging from 84-180$^\circ$K.
Because these ideas were discussed primarily in Russia, the knowledge
was not widely circulated and recently published books by very serious engineers
make such statements such as ``Dyson Spheres are impractical'' and ``the
implausibility of the Dyson Sphere is so extreme that it has even
been criticized by science fiction writers.'' \cite{RZ1999:241}.

Dyson \emph{Shells} are implausible or impractical only if you envision them as
true \emph{spheres} or primitive \emph{human} habitats.  And some science
fiction writers, by stretching their imagination to include engineering
methods such as force transfer using high speed circulating fluid streams,
\emph{have} described plausible Dyson \emph{Spheres} \cite{FP1975}!

\section{O'NEILL HABITATS}
It is useful to examine O'Neill style habitats, in light of 25 years of progress.
These colonies were to be aluminum and glass cylinders of various diameters and
lengths, rotating to provide gravity with steel cables to provide tensile strength
as necessary.  The habitats were designed to be manufactured as inexpensively
as possible with then current manufacturing methods using material extracted
from the moon.  Their purpose was to create Earth-like habitats
to encourage people to emigrate to them.  They were \emph{not} intended
to make the optimal use of  the energy, materials and methods available
to an advanced Kardashev Type-II civilization.\cite{NSK1964}

The Papagiannis and Suffern calculations are based on the assumption that
we are limited to the available ``construction material'' present in our
solar system. Papagiannis uses a figure of 10 Earth masses, while Suffern
uses a figure of 30 Earth masses from Bracewell\cite{RNB1976}.
The author estimates that the solar system contains minimum of 3-10 times
the amount of construction material considered by Suffern and Papagiannis
($\sim$100 Earth masses; 5.9$\times$$10^{26}$ kg).  Why is this?

During the last 25 years, it has become clear that the capabilities of
traditional construction materials (iron, aluminum, glass) is somewhat
limited, and that structures will ultimately be constructed out of materials
with more robust physical properties.  These include diamond and sapphire as
well as ceramics including carbides, oxides and nitrides.  So substances
such as methane, ammonia, carbon dioxide and carbon monoxide, which are
abundant in the bodies with orbits beyond Saturn are more useful for
construction purposes than was previously thought.  Water ice is also present
in significant quantities in these bodies and may be considered a structural
material if it is kept significantly below its freezing point.  In
our solar system, the excess of hydrogen and oxygen over carbon (and other
metals) dictates that the most efficient materials usage \emph{must} use
water in lieu of other materials as much as possible.  In addition,
the most abundant elements, hydrogen and helium, as highly pressurized gases
or possibly in liquid or solid form, may be used as radiation shields,
leaving other materials available for more important uses.

The classic O'Neill habitat contains 4\% aluminum, 2\% glass, 10\% water,
and 82\% soil, rock and construction materials \cite{GKO1974}.  
How can we substitute advanced materials into these habitats?  The
best mass utilization would result from constructing all
structural elements out of carbon (as diamond or buckytubes),
sapphire (Al$_{2}$O$_{3}$), silicon carbide (SiC) and
hematite (Fe$_{2}$O$_{3}$). 
Metals would only be used in situations requiring great ductility or electrical
conductivity.  Diamond has an elasticity 5$\times$ that of high carbon
steel and 13$\times$ that of aluminum alloys.  Replacing the aluminum
and steel in the original designs with diamond and sapphire (which are also
more abundant) reduces the structural material mass requirements by 10
times or more.

For example, advanced colonies could contain diamond walls of sufficient
strength to hold an atmosphere, surrounded by silica aerogel insulation
to keep heat in and cold out, surrounded by ice containing bubbles filled
with high pressure hydrogen gas as a radiation and meteor shield, coated
with ultrathin high efficiency solar cells that efficiently harvest incoming
visible and infrared photons and covert them into electricity.

The traditional agriculture methods envisioned by O'Neill are not those
that would be used by an advanced civilization.  The soil requirements
are presumably those required for growing food.  Yet we know that
traditional foods may be grown quite effectively hydroponically.
% \cite{Hydro2000} 
That would eliminate the soil requirement completely and replace it with
a water requirement.  Water as previously noted is one of the most
abundant materials in the solar system.  If the population adapts
to non-traditional foods, or food processing can manipulate basic ingredients
into traditional forms, one may envision very thin orbiting pancakes (agrisats)
with glass surfaces facing the sun and ceramic radiators facing away from
the sun filled with water containing algae like organisms that are bioengineered
to manufacture and store a completely balanced set of nutrients. 
These would be very thin structures, perhaps only a few cm thick. 
These agrisats could periodically dock with habitat colonies where the
nutrients would be harvested and the agrisats refertilized with carbon
dioxide, ammonia and trace elements.

Advanced societies would attempt to make the most efficient use of the
available energy as possible.  Initially, this could be based on multi-layer
solar cells ($\sim$30-40\% efficiencies).  Ultimately it may use solar
concentrators with high temperature heat engines  that radiate at the
background radiation temperature.  The temperature differential 
(2900$^\circ$K - 3$^\circ$K), potentially allows $\sim$99\% efficiencies.  Harvested
power could be used to produce hydrogen ions (H$^{+}$) that are utilized
by mitochondria- or bacteria-like bioreactors to synthesize ATP and subsequently
carbohydrates and proteins. Ultimately the losses involved in these chemical
processes might drive civilizations to engineer individuals to be able
to utilize sunlight or electricity directly.  There are only mental
barriers that would prevent extraterrestrial bioengineers from producing
chloroplast-like energy conversion units in their own skin.  Humans
unfortunately have too little skin area to power their $\sim$100W metabolisms. 
They would require the addition of wings with increased surface area, or
lower operating temperatures to pursue this approach.

Thus if we divide the multi-purpose O'Neill style habitats into powersats
and agrisats that harvest most of the available sunlight and habitats that
house populations at New York or Tokyo density levels then the resources
of a solar system may be utilized much more efficiently.

So, only primitive civilizations (with late 20th century technologies) would
limit themselves to collecting less than 1\% of the solar output of their star. 
Using advanced materials and technologies, advanced Type-II civilizations
would harvest all of the power produced by their stars as envisioned by Dyson.
As the civilization evolves, becoming increasingly efficient, they
would radiate heat at ever lower temperatures, potentially approaching
the background temperature as Minsky and Suffern have suggested.

\section{Life and its Forms}
It is unlikely that Dyson or O'Neill could have envisioned the
``space'' of our solar system being ``populated'' more by computers
than by people (there are many more computers in space today
than people).  It is also unlikely they would have envisioned the
progress in biology and biotechnology to the extent where we now have
the genomic blueprints for approximately 100 types of self-replicating
machines \cite{RJB1999:GSP}.  Such blueprints provide the
foundation for advanced bioengineering of the type required
for agrisats.

Life supporting chemistries that do not require liquid water have been
postulated \cite{RAF1971,JSL1998}, and NASA scientists are beginning
to engineer artificial life \cite{AP1999}. This suggests that life forms
existing outside the temperatures ranges envisioned by Dyson can be
discovered or engineered.  Ultimately advanced civilizations should
apply molecular nanotechnology\cite{KED1992,Zyvex2000} which will
allow life-forms based on machines operating over temperatures ranging from
$3^\circ$K to $2900^\circ$K or higher.

The time spans for technological civilizations of intelligent beings to evolve from
very primitive states (e.g. \emph{Homo erectus}) to the limits imposed by classical
laws of physics are very short ($\sim$$10^{5}-10^{6}$ years) compared with the
galactic time scales ($\sim10^{10}$ years).  Work by the author has shown, that a
Type II civilization could rapidly form an highly integrated meta-mind with a
computational capacity $\sim10^{34}$ times that of a human brain.\cite{RJB1999}
This meta-mind would occupy the computers of star-enveloping
solar power satellites that \emph{do} effectively hide the star. 
Conclusions regarding the forms Dyson \emph{Shells} will take, 
the failures of SETI efforts thus far\cite{IC2000}, and the Fermi
Paradox\cite{EMJ1985} are unlikely to be valid if one assumes an
anthropocentric starting point as most individuals unconsciously do.

Discussions about advanced civilizations are \emph{likely} to be most
valid, only if one assumes capabilities and capacities at the limits of known
(experimentally validated) laws of physics. Unfortunately, astronomers and
SETI researchers continue to look for signs of life assuming human perspectives
(i.e. visible stars) rather than perspectives dictated by the limits of the
laws of physics.  Only whole sky surveys, with long exposure times in the
mid-far IR ranges are likely to detect low temperature Dyson \emph{Shells}.
Unfortunately, even for expensive telescopes, like SIRTF,\cite{SIRTF}
the detectors for these wavelengths, typically, Si:As, Ge:Ga and stressed
Ge:Ga are still very primitive.\footnote{The SIRTF arrays are 32$\times$32
and 2$\times$20 for example.  Such small arrays either provide limited
resolution or make whole sky surveys extremely time consuming.}
It is open to debate whether very advanced telescopes, to be launched
over the next decade would have the capabilities required to provide
definitive evidence for or against these objects.

\section{CONCLUSIONS}

It is to the advantage of most \emph{current} CETI search strategies that civilizations
remain near our level of development for long periods (thousands of years or
more).\footnote{This is the \emph{L} parameter from the classic Drake Equation.}
If instead technological civilizations make a rapid transition from
pre-Type I to Type II as appears likely to be the case \cite{VV1993},
then these efforts are highly misguided.\footnote{Radio and Optical SETI
assume \emph{L} must be leakage time (for pre-Type I civilizations) or intentional
broadcast time (for those Type-I and higher).  The observational capabilities of
Type-II would allow them to communicate using highly efficient directional lasers,
presumably to other Type-II civilizations.  Lasers are preferred for
due to lower divergence and higher bandwidth.  The only use a Type-II
civilization would have for radio communications is to communicate with
another Type-II civilization through a dust cloud that would attenuate
a laser beam.  Type-II civilizations do not broadcast to pre-Type-I
civilizations because it is a waste of energy and matter due to the
intelligence scale differences.  There may be rare cases of leakage
from pre-Type I civilizations, but these are likely to be brief as
civilizations develop the technologies (coaxial cable, fiber optics,
low-power spread spectrum radio) that eliminate most forms of leakage.
If we wanted to look for leakage signals, the best choice might be
radar signals occasionally used for astronomy observations.
If our civilization is typical, ``leakage'' longevity is likely
to be less than 100 years.}

Dyson \emph{Spheres} are either impossible or highly difficult
to construct.  Dyson \emph{Shells} are feasible and may be constructed
by civilizations only slightly more advanced than ours.  This
will cause a star to shift its radiation emission from the
visible into the infrared and eventually ``disappear''.  There \emph{do}
appear to be methods by which the natural and artificial sources of
infrared radiation may be distinguished. 

Advanced civilizations are unlikely to have the temperatures
of ``biospheres''.  Depending on the stage of their construction,
and the materials at their disposal, they may be much hotter or 
much colder than liquid water.  If we had the technology to conduct
extensive surveys for brown dwarfs,\footnote{Current technologies
only allow us to view brown dwarfs out to a distance of several hundred
light years} we might find that many of them are being disassembled
to supply fuel and construction materials for advanced meta-minds.
The unresolved problems of the missing baryonic dark matter\cite{BC1994,BC1999}
and the gravitational microlensing observations\footnote{The microlensing
observations suggest several hundred billion 0.3 - 0.5 M$_\odot$ objects
that fail to fit common theoretical models of stellar evolution
are orbiting our galaxy.\cite{CA2000:Science}}
hint at the possibility that such entities may exist.

Unexplained or incompletely studied astrophysical phenomena such as
odd star populations of the galaxy NGC 5907\cite{SEZ2000} or the asymmetry of increases
and decreases in the brightness of long-period variable stars\cite{JAM1998} provide us
with a number of locations that may be studied for signs of Dyson \emph{Shells}.
If we free ourselves from anthropocentric perspectives
and combine the ideas of Dyson, Minsky and Suffern as well as
the technological progress of recent decades, we can envision
advanced civilizations at the limits of physical laws.  Observations
directed towards stars decreasing in visual magnitude or searching for
stellar occultations by large cold dark objects, merit serious consideration
as future strategies in optical SETI.

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