Any discoveries, not just scientific ones, can come at you from any direction. Restricting yourself to a limited field seems about the worst idea possible. And why are you worried about energy exactly? Fossil fuels, maybe but mostly an uninteresting dieing market where companies, lobbies and countries are holding on for dear life while doing their best to block everything that has nothing to do with their business.

You bring up particle research as if it's uninteresting. And yet you probably have your computer hooked up to a power grid that is backed up by more than one nuclear power station. That's just one example of converting mass to energy very efficiently. Investigate it more and you might just find a very very efficient way.

The LHCs slogans generally focus on "recreating the big bang", the media frenzy prefers to falsely assume "black holes". And why would the big bang's basics not be interesting to an energy question? When something the size of everything and smaller than nothing+1 pumped out such an ungodly amount of energy to blow itself up to the size of what the universe is now... only to expand more for now. To create suns that run for billions of years... how is this not related to energy? It's all about energy and a damn sight more useful than building a few pansy-assed windmills.

Or for those who don't want to read all that:
You should never stop looking for new things or new ways to look at things. Ever.