The famous Fermi Paradox was first posited by Enrico Fermi while working on the atomic bomb project at Los Alamos. At dinner one evening, Fermi and others were talking about the possibility of intelligent life elsewhere in the Universe. Afterwards, walking back to their living quarters, Fermi suddenly asked "Where are they?"
This is still the biggest single problem with any search for intelligent life in the Universe. Where are they? In nearly a century of searching, we have found no clear evidence of life beyond Earth, let alone signs of technological civilizations.
Well, that just means there aren't any nearby, right? Maybe not. Consider the Von Neumann Machine, a concept devised by legendary polymath John Von Neumann. Build a robot which is capable of reproducing, then send it off into space with orders to make copies of itself and explore the Galaxy. Each copy makes its own copies, which make copies of their own -- pretty soon the Galaxy is packed with Von Neumann Machines. "Pretty soon" in this context is of course a long time, since at slower-than-light speeds it would take thousands of years for the Von Neumann Machines to spread through the Galaxy. Assuming the VNMs could travel at 1 percent of the speed of light, and spend as much time building replicas as they do travelling, that means it would take 20 million years for the probes to cross the Galaxy.
Trouble is, while 20 million years is a long time in human terms, in cosmological terms, it's almost nothing. Less than half of 1 percent of the age of the Earth. It's entirely possible for intelligent life to have evolved that long ago -- heck, the dinosaurs might have done it if the Chixclub meteorite hadn't wiped out the troodons just as they were getting big brains.
So where are they? Why haven't we seen alien Von Neumann Machines?
There are several responses to this. The simplest (and most depressing) is to assume that there simply aren't any other intelligent beings, at least not in our Galaxy. The slightly less depressing variant is that humans are simply the first beings to develop a technological civilization. It's certainly improbably, but not impossible -- someone has to be first, and maybe it's us. (The corollary to that is that if we want to meet aliens we're going to have to go out and find them.)
Another depressing way to account for the great silence is to assume that civilizations are self-destructive, so that intelligent beings don't get off their home planets and never spread through the Galaxy. This had a certain vogue during the 1980s, when people like Carl Sagan tried to meld SETI research with political activism against nuclear weapons. On his PBS television series Cosmos it seemed at times that all of Sagan's lines included the portentious phrase "If we do not destroy ourselves..."
Trouble is, it's really hard to permanently wipe out a technological civilization. Even if the United States and Soviet Union had unloaded their peak Cold War arsenals on each other, places like Argentina and Mexico -- populous, industrializing nations -- would have been untouched. A concerted effort to wipe out intelligent life on a planet would require resources an order of magnitude greater than the Cold War superpowers at their most bellicose, commanded by a fanatical regime several orders of magnitude more genocidal than the Nazis. And this awful combination must occur with 100 percent success on every inhabited planet in order to account for the Fermi Paradox. It just doesn't seem plausible.
The same argument applies to most of the other "social" explanations of why we haven't heard from anyone. Any explanation must apply to all alien civilizations at all periods of their history. Sure, the Denebians may be too obsessed with pro wrestling to bother with launching VNM space probes, but are the Rigelians? The Arcturans? What about the Arcturans a hundred million years ago, before they invented masked wrestlers?
There is a more hopeful explanation for the great silence. Maybe we're just not looking in the right places. SETI projects still haven't done a comprehensive full-sky survey. We may be missing some civilization's radio broadcasts simply because we can't spare the observing time, or can't crack their digital encryption.
We may may even be overlooking physical artifacts. While I don't believe most of the accounts of UFO enthusiasts or "ancient astronaut" crackpots, the fact remains that there's a lot of real estate in the Solar System we've scarcely glanced at. Earth, Mars, and the Near Side of the Moon have been reasonably well-surveyed. For everything else we just have a few blurry telescope images or quick space probe snapshots.
And just to feed your paranoia, how do we know there aren't alien space probes on Earth right now? Forget about flying saucers or boxy Viking-style landers -- if I wanted to explore a planet like Earth I'd use swarms of insect-sized robots with maybe a few large units disguised as birds or fish. The locals wouldn't even know they were being studied.
Curious how pigeons always seem to be watching you, isn't it?
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