At this stage I'm starting to think that we'll need either:

- a drastic societal change or, - stumble upon an ancient alien artefact progressing our technology to the point where coal becomes useless

(digging a giant hole in my backyard with the hope of finding a Stargate whilst writing this comment)

Edit: morbid humour and sarcasm aside, the sibling comments provide some context on why taxing carbon might actually work