I am an ignoramus as far as science is concerned. I freely confess it. My education consisted of Biology (to O-Level only), and given the fact that we had a maiden lady as teacher who had to call in another member of staff to teach us basic human reproduction, it is surprising that I know anything about biology at all. My all-girls school didn't teach physics or chemistry. In that particular place, it wasn't seen as necessary to educate females in those sorts of things. I've felt cross about it ever since - and rather ashamed at the scientific lacunae in my brain.
BBC2 Horizon special: The Hunt for Higgs. Among other things, there was a lot of talk about matter and anti-matter, and how they shouldn't exist in the same space. Right away, my 'writing' brain clicked into life. Perhaps they don't, I thought. Perhaps they exist in the same space, but a different timeframe, a nanosecond apart. (Scientists, please note, the Nobel Prize is mine - unless someone's already come up with that one! *joke*) I've found lots of other examples too, where my brain goes off exploring possibilities.