Doomsday vs Diaspora

From: Mitchell Porter (mitchtemporarily@hotmail.com)
Date: Wed Apr 23 2003 - 20:45:31 MDT

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    I'm a member of an intelligent species, born during an
    unprecedented technology-driven population boom. It seems
    thinkable that my species could be the seed of a cosmic
    civilization capable of spreading indefinitely into the
    universe. But if that happens, the future population of
    the civilization born in this biosphere will be orders of
    magnitude greater than the number of all humans who have
    lived so far. This would place those of us alive now at a
    remarkably early stage in the history of that civilization;
    if one regards oneself as a random sample from that history,
    this position is not just remarkably early but also extremely
    unlikely. One might therefore conclude that the future of
    cosmic expansion is not to be, and that instead we are headed
    for an irreversible population decline, cause unknown. In
    that scenario, the majority of humans that will ever live
    is alive during the final population boom, and so we can
    after all view ourselves as historically typical members of
    our species. (The majority of human history was spent on the
    savannahs, but the population now is so much greater than
    the pre-agricultural one that the *numerical* majority of
    all-humans-who-will-ever-live is urban ... in this scenario.)

    This is a version of the Doomsday Argument. If one pays
    attention to Earth alone, it is logically consistent and
    self-contained. However, it seems that one also ought to be
    able to regard oneself as a random sample from the total
    *cosmic* population of intelligent entities, and at this
    point the Diaspora Scenario of cosmic colonization becomes
    relevant again. Let us assume that the average total
    population, from start to finish, of a Diaspora civilization
    is about 10^9 times greater than that of a Doomsday
    civilization. For average cosmic citizens (such as, by
    hypothesis, us) to find themselves in a Doomsday civilization
    would imply that such civilizations are *at least* 10^9
    times as numerous as Diaspora civilizations. And in general,
    one might say that:

      Validity of Cosmic Doomsday Argument (CDA) implies that
      Frequency of Doomsday civs >= N * Frequency of Diaspora civs,
      where N = (Typical Diaspora pop/Typical Doomsday pop)

    This is a very simple observation, but I don't think I've
    seen it anywhere in the Doomsday Argument literature. It would
    be interesting to have a realistic value for N.

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