Fair enough, your calculation seems valid. But my point still stands -- are we going to build enormous LHCs all over the world to get a (maximum) 24 millisecond advantage in global communications via neutrinos?!
> As opposed to how we communicate now globally?
From this interaction I thought you'd missed the point that "send messages through the earth" is something we're currently not doing. Of course you're right that the "if there were a way to reliably detect neutrinos" is doing a lot of work.