Now, the Arecibo message should carry over a couple of hundred light years easily, but it was transmitted for three minutes only, and if you miss it, you miss it.
If they don't, it would seem pointless to contact aliens, by the time they send their ambassador on a multi-generational ship to Earth we humans may have already been extinct.
People thought humans wouldn't break the sound barrier for engineering reasons, not because the laws of physics prevented it. And just because people in the past thought something was impossible doesn't mean it will one day be possible. 100 years ago, physicists thought perpetual motion machines were impossible.
Bad example, man, the "anything is possible" crowd hasn't necessarily conceded that point either....
I'm not actually 100% sure my interpretation of GR is correct, if anyone of the people who know more about it could elaborate, I'd greatly appreciated it (for example, I think acceleration has effects on time, too, which could crush my "long distance travel in no time"-theory).
http://www.faqs.org/faqs/astronomy/faq/part6/section-12.html
The main uncertainty is at estimating the level of radio technology that can be available to alien civilizations.