There's an interesting article at New Scientist about a machine-learning algorithm that can be used to recreate the sounds of extinct ancestor languages. That, of course, is very cool, if intrinsically hard to verify.
I would be interested, though, in whether the algorithm could work the other way. Given the languages of today, including some reasonable guesses about how they will mix in the future (based on trade, population, etc.), can reasonable extrapolations be made for how a language will evolve into the future? This could be tested, for example by taking the languages of 1750 or A.D. 1000 and trying to recreate modern English.
As far as I know, all attempts to extrapolate the language of the future have been either outrageously vague (as with the Eloi of H.G. Wells), more a statement of philosophy than an extrapolation of philology (1984), the haphazard introduction of a few words, or (more commonly, e.g. Star Trek) ignored altogether. The language of 2313 should be mostly comprehensible, but nevertheless weird-sounding to us, as our speech would be to an English speaker from 1713.
Of course, if the resulting science fiction is wildly popular, it might very well alter the evolution of the language, either in a self-fulfilling or (more likely) self-frustrating way.