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Project Cyclops, A Design... - Department of Earth and Planetary ...

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ture societywith its mastery <strong>of</strong> controlled nuclear<br />

fusion, would fall in this category.<br />

Type H Civilizations are capable <strong>of</strong> utilizing a substantial<br />

fraction <strong>of</strong> the radiation <strong>of</strong> their parent star so have<br />

powers on the order <strong>of</strong> 1026 watts at their disposal.<br />

Type III Civilizations are extended communities with<br />

the ability to control powers comparable to the radiation<br />

<strong>of</strong> an entire galaxy-that is, powers on the order <strong>of</strong><br />

1037 watts.<br />

Kardashev reasons that any civilization could afford<br />

to devote a small fraction, say one percent, <strong>of</strong> its energy<br />

resources to interstellar communication, <strong>and</strong> this leads<br />

him to postulate extremely powerful radiations from<br />

Type II <strong>and</strong> II1 civilizations. This has the advantage <strong>of</strong><br />

making detection very easy for mere Type 1 civilizations,<br />

such as ourselves, <strong>and</strong> obviates the need for expensive<br />

receiving arrays <strong>of</strong> antennas. Alas, so far no such<br />

powerful radiations <strong>of</strong> artificial origin haye been detected,<br />

so Type II <strong>and</strong> II! civilizations remain hypothetical.<br />

Nevertheless, Kardashev's classifications are useful<br />

reference terms in discussing supercivilizations.<br />

DYSON<br />

CIVILIZATIONS<br />

Freeman Dyson (refs. 2,3) has suggested that the<br />

pressure <strong>of</strong> population growth will have forced many<br />

advanced societies to create more living space in their<br />

planetary systems by disassembling unfavorably situated<br />

planets <strong>and</strong> redistributing their matter in various ways<br />

about the parent star. Dyson points out that the mass <strong>of</strong><br />

Jupiter, if distributed in a spherical shell at 2 AU from<br />

the Sun, would have a surface density <strong>of</strong> about 200<br />

gm/cm 2 (actually 168 gm/cm 2) <strong>and</strong>, depending on the<br />

density, would be from 2 to 3 m thick. He goes on to<br />

say: "A shell <strong>of</strong> this thickness could be made comfortably<br />

habitable <strong>and</strong> could contain all the machinery<br />

required for exploiting the solar radiation falling onto it<br />

from the inside." When it was pointed out that such a<br />

shell would be dynamically unstable 2 he replied that<br />

what he really had in mind was a swarm <strong>of</strong> independent<br />

objects orbiting the star. In a subsequent paper (ref. 3),<br />

he proposes that these objects be lightweight structures<br />

up to 106 km in diameter, the limit being set by solar<br />

tide raising forces, <strong>and</strong> notes that at 1 AU from the Sun,<br />

2The total heavy element content <strong>of</strong> the Sun's planets would<br />

allow a sphere at 2 AU radius around the sun to be only about 1<br />

cm thick. If rotating, the sphere would flatten <strong>and</strong> collapse; if<br />

stationary, the Sun's gravity would cause compressive stresses <strong>of</strong><br />

about 300,000 lb]in 2 in the shell, ensuring buckling <strong>and</strong> collapse.<br />

With only one solar gravity at 2 AU (1.48× 10-3 m/s 2) no atmossphere<br />

would remain on the eternally dark outside, while anything<br />

on the inside would gently fall into the Sun. It is hard to see how<br />

Dyson finds these conditions "comfortably habitable."<br />

200,000 <strong>of</strong> these (actually 360,000) would be needed to<br />

intercept <strong>and</strong> thus utilize all the Sun's radiation.<br />

One consequence <strong>of</strong> this would be that a substantial<br />

fraction <strong>of</strong> the Sun's luminosity would be reradiated<br />

from an extended source at about 300°K rather than a<br />

much smaller source at 5800°K. On this basis, Dyson<br />

feels that we are more apt to detect advanced civilizations<br />

because <strong>of</strong> the excess infrared radiation they<br />

produce in pursuit <strong>of</strong> their own survival than as a result<br />

<strong>of</strong> intentional beacon signals they might radiate.<br />

Although Dyson describes an entertaining mechanism<br />

for the disassembly <strong>of</strong> planets to obtain the material for<br />

lightweight orbiting structures, no details are given as to<br />

how these structures are to be made habitable. Presumably,<br />

since these lightweight structures would not have<br />

enough gravity to hold an external atmosphere, the<br />

advanced beings are to live' inside. To fill 200,000<br />

spheres each 10 6 km in diameter with air at normal<br />

<strong>Earth</strong> atmospheric pressure would require about<br />

1.36×1032 kg <strong>of</strong> air, or about 50,000 times the total<br />

mass <strong>of</strong> the Sun's planets. The air would have to be<br />

supported against contraction under its own gravity;<br />

otherwise, only the central region would be habitable, or<br />

(with enough air added to fill the sphere) the object<br />

would become a massive star. Since, even with support,<br />

the total air mass per sphere is about 100 <strong>Earth</strong> masses,<br />

the supporting structure could hardly be the lightweight<br />

affair Dyson describes.<br />

We conclude that the size limit <strong>of</strong> Dyson's spheres is<br />

more apt to be set by the amount <strong>of</strong> air available <strong>and</strong> by<br />

the self-gravity effects it produces than by tidal forces. If<br />

all the mass <strong>of</strong> the Sun's planets were in the form <strong>of</strong> air<br />

at atmospheric pressure, this air would fill a spherical<br />

shell 1 AU in radius <strong>and</strong> 7.3 km thick. Thus, instead <strong>of</strong><br />

360,000 spheres each 10 6 km in diameter, we would<br />

need more than 4X l0 t s spheres each less than 10 km in<br />

diameter to catch all the Sun's light at I AU. These<br />

considerations cause us to be skeptical <strong>of</strong> Dyson's latest<br />

model <strong>and</strong> to base our calculations <strong>of</strong> excess IR<br />

radiation (given in Chap. 4) on the redistribution <strong>of</strong> the<br />

heavy element mass <strong>of</strong> the solar system into several new<br />

earths rather than 10' s "mobile homes" in orbit at IAU<br />

from the Sun) Even this seems to us a formidable<br />

enough undertaking. We note, however, that Dyson appears<br />

so convinced <strong>of</strong> the detectability <strong>and</strong> inevitability<br />

<strong>of</strong> the kind <strong>of</strong> astroengineering he describes that he construes<br />

our failure to detect any such activities as evidence<br />

for the absence <strong>of</strong> advanced intelligent life!<br />

3The excess IR radiation from this vast number <strong>of</strong> spheres<br />

would be indistinguishable from that produced by a lot <strong>of</strong> dust<br />

around a star.Gaps in the orbital pattern would cause some direct<br />

starlight to filter through, not in occasional flashes as with fewer<br />

106 km diameter spheres, but in a fairly steady amount.<br />

178

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