Ivan Seeking said:
This is not subject to debate: Discussion must remain within the bounds of known science.
Point taken. I will confine myself to analysis.
There would seem to me to be two classes of Alien visitors - those who like us are restricted by the speed of light and those who have found a way round it
Class 1 Aliens - Restricted by speed of light
I have seen analyses that suggest there are theoretical limits as to the extent to which you can accelerate a ship or asteroid or whatever but let's be very optimistic and assume that they can get up to a measurable percentage of the speed of light - say 20% for discussion purposes. Allowing for acceleration and deceleration this gives an average speed of 10% of light speed. So how long could they reasonably travel for? Even allowing for hibernation and reconstituting from genetic information (the polio virus has been famously put together from bits ordered by mail order) it is hard to imagine a trip of much more than a few hundred years but let's be very optimistic and say 1,000 years.
So, how many stars are there within 100 light years of earth? Well, as it happens this has been asked before:
http://wiki.answers.com/Q/How_many_star_systems_within_100_light_years_of_earth
and the answer is evidently about 170,000. So, maybe one of them has intelligent, successful life on one of its planets? What are the odds of that? Well, if 1 in 200,000 (lets be pessimistic and say 1 in 1 million) stars has intelligent well organized life then given that there are 10^22 to 10^24 stars in the universe that would imply that there are at least 10^16 stars with intelligent life capable of making voyages through space of 1,000 years
So, let's spell that out:
10,000,000,000,000,000 planets with extremely advanced civilizations. What are the odds of that? Zero, I would have thought
Class 2 Aliens - NOT Restricted by speed of light
So, they can visit any planet in the universe at the drop of a hat. What are the chances they would consider coming here? Well, presumably, about 1 in 10^22 (the number of stars). What does that mean? Well, as it happens, I could visit any spot on earth. The surface of the Earth (including the sea) covers about 10^19 square inches [Edit: it is even worse - the surface of the globe covers 10^20 sq mm]
So, the odds of these aliens visiting us are the same as me deciding to visit an area of the Earth covering one tenth of a square inch. Not very likely. So if there are a million such civilisations the odds are slightly better - they are the odds of me deciding to visit a piece of the world about ten feet square. Zero, in other words
Other factors
If they have been here what are the chances of them leaving a record? Well, the Earth has been around for about 4 billion years or so. Nothing historical is likely to last more than a million years so if they did come there would be at most a 1 in 4,000 chance we would know about it. Unless they left a marker in our DNA - so that is the place to look ...
Super Optimistic View
Self replicating, super intelligent space probes ... but that is wild speculation outside the bounds of normal science so we won't go there.
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