Some day alien civilizations may pick up television or radio signals from Earth. But does this mean they’re likely to visit us? Danish researcher Rasmus Bjørk (Niels Bohr Institute, Copenhagen) doubts it. “Even then, unless they can develop an exotic form of transport that gets them across the galaxy in two weeks it’s still going to take millions of years to find us,” says Bjørk in an article in The Guardian. “There are so many stars in the galaxy that probably life could exist elsewhere, but will we ever get in contact with them? Not in our lifetime.”

Bjørk is in the news because he set up a computer simulation to investigate how long it would take to explore the galaxy. Suppose we build eight probes which, along the way, send out eight more mini-probes, all headed for different stars that are likely to have life. Bjørk’s plan is to search only within the galactic habitable zone, to use flyby probes only, and to fan out the spacecraft at one tenth the speed of light. The aim is to investigate a volume of space containing 40,000 conceivably life-sustaining stars.

Here’s the method, from Bjørk’s paper on the subject:

The 40,000 stars are explored by sending out one host probe which travels to some faraway star referred to as the “destination star”. Once the probe arrives, it dispatches a number…of smaller probes, that in total investigate the 40,000 nearest stars. They do this by always moving to the star nearest to their current location that have not been explored already. The distance and position of this star can easily be determined from its parallax. After all the 40,000 stars have been explored the probes return to the destination star, where they dock with the host probe for maintenance and prepare to travel to a new destination star.

In other words, explore all 40,000 suitable stars within the box defined by Bjørk and the process begins again on a new box of stars. In this way the exploration wave moves through the galaxy. The results aren’t encouraging for those in a hurry: using eight probes, each with eight sub-probes, the time to explore a box of 40,000 stars is on the order of 100,000 years. Exploring a mere four percent of the entire galaxy takes a time comparable to twice the age of the Earth (specifically, 9.57 x 109 years).

An obvious objection is that self-replicating probes could do the job much more efficiently and in far less time (Frank Tipler has done interesting work on this question, arriving at times in the millions of years to explore the entire galactic disk). But Bjørk points out the problems with such probes. They might easily move beyond control of the humans who designed them, with fatal consequences. So he bases his study on non-replicating devices, reaching this possible answer to the Fermi Paradox: “We have not yet been contacted by any extraterrestrial civilizations simple because they have not yet had the time to find us. Searching the Galaxy for life is a painstakingly slow process.”

The paper is Bjørk, “Exploring the Galaxy using space probes,” accepted by the International Journal of Astrobiology and available as a preprint. A key Frank Tipler paper is “Extraterrestrial intelligent beings do not exist,” Quarterly Journal of the Royal Astronomical Society, Vol. 21 (1980), pp. 267-281.

Addendum: This thought from Adam Crowl on the Bjørk paper mirrors my own reaction:

Many assume that as soon as intelligences can make autonomous self-replicating robots then that’s what they’ll do, sending them forth with a ‘mission’ to colonise the galaxy with their kind of intelligent life. A self-replicator smart enough to be called ‘intelligent life’ is a ‘person’ in my view, but an arguably important aspect of personal identity is freedom and creativity, and I suspect even the longest-lived ‘persons’ will fatigue in the face of a task like colonising every star in the Galaxy. A more organic expansion will be what eventually completes the task and there’s no easy way of estimating how long, or how thorough, such an expansion will be.