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Expanding Advanced Civilizations in the Universe

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Expanding Advanced Civilizations in the Universe Expanding AdvancedJBIS, Civilizations Vol. 58, pp.xxx-xxx, in the Universe 2005 Expanding Advanced Civilizations in the Universe CLAUDIUS GROS Department of Physics, Box 151150, University of the Saarland, 66041 Saarbrücken, Germany. Email: [email protected] The 1950 lunch-table remark by Enrico Fermi ‘Where is everybody’ has started intensive scientific and philo- sophical discussions about what we call nowadays the ‘Fermi paradox’: If there had been ever a single advanced civilization in the cosmological history of our galaxy, dedicated to expansion, it would have had plenty of time to colonize the entire galaxy via exponential growth. No evidence of present or past alien visits to earth are known to us, leading to the standard conclusion that no advanced expanding civilization has ever existed in the milky-way. This conclusion rest fundamentally on the ad-hoc assumption, that any alien civiliza- tions dedicated to expansion at one time would remain dedicated to expansions forever. Considering our limited knowledge about alien civilizations we need however to relax this basic assumption. Here we show that a substantial and stable population of expanding advanced civilization might consequently exist in our galaxy. Keywords: Astrobiology, extraterrestrial intelligence, extraterrestrial societies, Fermi Paradox 1. Introduction Many visions of human settlement of our solar sys- order 106-107 years. In any case, a precondition for tem, or even of the entire milky-way, foresee a rapid intra-galactic expansion is the formation of human expansion via multiplication of human colonies by societies dedicated to the settlement of outer space exponential growth. These kind of scenarios are mo- over very extended periods of time. tivated in part by the empirical observation, that life- forms on earth tend to expand until every habitable Our limited knowledge of the long-term dynamics of niche is occupied. It was taken for granted, that also human, post-human and extra-solar advanced civiliza- Homo Sapiens would have a kind of innate drive to tions does not allow us presently to give a definitive multiply and to expand. The advent of dramatically answer to the question, whether humanity will ever falling birth-rates in industrialized human societies produce social organizational forms stable over 103- in the last decades of the 20th century has led many 106 years on a technically highly advanced level. And to reconsider this stance and reasons for the settle- once it does, will this society be dedicated, at least ment of outer space are seen nowadays more in partly, to long-term and peaceful expansion? This ques- terms of intellectual and emotional challenges, than tion is highly non-trivial in view of the present-day low in the need to alleviate population pressure on earth. birth-rates in the technological most advanced human societies on earth. One may also argue, from a system- There is a growing consensus that human settle- theory point of view, that coexistence in one and the ment of the solar system might be technically feasi- same society of a stable social fabric and the desire to ble in principle and sociologically possible. Even so, expand over very prolonged periods of time might be it is still highly controversial in public discussions exceedingly difficult to achieve. whether it will ever be desirable to do so. Sociologi- cal considerations become even more important In any case, we cannot take something for granted when the time-scales for the settlement of extra- for the society of an advanced alien species what we solar planets, including interstellar traveling times do not know for sure about human societies. We and the (possible) need to terraform potential extra- therefore need to consider the possibility that ad- solar planets, are considered. Estimates range from vanced alien civilizations might be dedicated to ex- optimistic 103 years to somewhat more reasonable pansion, but only for limited periods of time. Here we 105 years to establish a single new human colony on discuss the consequences of this presumption on an extra-solar planet. Minimal estimates to settle a Enrico Fermi’s consideration on the occurrence of substantial fraction of our galaxy are typically of expanding advanced civilizations in our galaxy. 1 Claudius Gros 2. Dynamics of Advanced The solutions of the rate Eqs. (1) grow/decay Civilizations exponentially like ~ exp[λ1,2t] with eigenvalues We will consider here the development of the popu- g − e − c − e − c λ = E E S S lation of technologically advanced civilizations in the 1,2 2 universe and formulate rate equations for the den- 2 sity of advanced civilizations per galaxy. This den- g − eE − cE + eS + cS ± + cE cS sity may or may-not be substantial. It still makes 2 sense to consider the density of advanced civiliza- tions per galaxy if this density if of the order of We may now generalize Fermi’s statement for the about one per galaxy or somewhat smaller. Which case cE,S > 0: If there are finite birth-rates bE,S > 0 for would imply, that we would be the only such civiliza- advanced civilizations then the net expansion-rate tion in our milky-way. The analysis presented here Max[λ ] will fail only in the extreme limit that humanity is 1,2 alone in the entire universe. must be negative due to the fact that no alien civiliza- tion has visited or contacted us. This is possible We denote with (E) the density of advanced civili- when cE is large enough. That is, when advanced zations in our galaxy dedicated towards expansion civilization remain, in the average, in prolonged and with (S) the density of stagnant civilizations. Due phases of stagnation with intermittent periods of to lack of prior knowledge we need to consider the expanding activities. There is no argument know pres- general case that a civilization might change its char- ently to humanity which would rule out this sort of acter over time. The rate equations long-term dynamics for the population of galactic civilizations. E& = ()g − eE − cE E + cs S + bE (1) It is then reasonably to assume, when the net S& = cE E − ()eS + cS S + bS expansion rate Max[λ1,2] is negative, that the popula- then govern the population dynamics of civilization tion of advanced civilizations in the universe settles in our galaxy. Considering E and S as suitable time- in a steady state with E& = 0 = S&. The equilibrium den- averaged quantities we note that Eqs. (1) also apply sities E0/S0 of expanding/stagnant civilizations in the if only a small number of advanced civilizations exist universe are then given by simultaneously at any given time. c b + ()e + c b E = S S S S E The parameters b 0 denote the effective birth 0 E,S ≥ λ1λ2 rates and are given by the Drake equation (see Ref. 1). The rare-earth scenario [2], the phase-transition sce- and a corresponding expression for S0. Values for E0 nario [3, 4] and others [1, 5] entail that humanity is and S0 much smaller than one per galaxy are possible alone in the universe. And that humanity has been alone (when bE,S → 0) and would imply that humanity is essentially isolated. The magnitude of the param- ever since the big-bang, implying bE,S → 0. Here we assume at least one of them to be finite. eters entering (1) are, however, highly controversial and we will not attempt here to estimate them. eE,S > 0 denote the respective extinction rates. Doomsday theories [1, 6] propose that technologi- The crucial point is, on the other side, that a popu- cally advanced civilizations are bound to destroy lation-density of advanced civilization substantially themselves in one way or another (or to be destroyed bigger than one per galaxy is perfectly possible as by something else), implying a large value for the well and does not contradic logic. Large densities of extinction rates. cE is the rate by which a formerly advanced civilizations might occur also for small birth expanding civilization changes character and enters rates bEs when the absolute magnitude of one of the a period of stagnation and cS the reverse process. A eigenvalues, |λ1,2|, is very small. That is, when the finite growth-rate g > eE distinguishes an expanding average life-time of an advanced civilizations is very from a stagnant civilization. long. Fermi implicitly assumed cE,S ≡ 0 and his 1950 lunch- In our analysis we have treated the colonies of an table remark can be cast into the statement: No sin- expanding civilization as separate identities. They gle advanced civilization with an effective positive may, or may-not remain committed to expansion long growth rate, g – eE > 0, has ever existed in cosmological enough to establish, on the average, new colonies of history. their own. Both cases are covered by the rate 2 Expanding Advanced Civilizations in the Universe Eqs. (1), which are generally valid. In the first case at of colonies from these special civilizations would in- least one of the eigenvalues λ1,2 would be positive crease only linearly with time. and we would run into the Fermi-paradox. In the sec- ond case the population of alien civilizations would 3. Conclusions settle into a stable equilibrium and could be, in prin- ciple, substantial. How robust is our conclusion? We have basically no knowledge about extraterrestrial civilizations and all A finite density of expanding civilizations does not we can do are educated guesses. With this caveat in automatically imply an exponentially growing number mind it is worthwhile to point out, that human socie- of alien civilizations. To derive this result we did not ties tend to change their character considerably even need to postulate that all expanding civilizations cease within relative short time-frames, let’s say a few thou- expansion after a certain period.
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