At this point, the scientists who run the Intergovernmental Panel on Climate Change must feel like it’s time to trade their satellites, their carefully calibrated thermometers and spectrometers, their finely tuned computer models – all of them for a thesaurus. Surely, somewhere, there must be words that will prompt the world’s leaders to act.

This week, with the release of their new synthesis report, they are trying the words “severe, widespread, and irreversible” to describe the effects of climate change – which for scientists, conservative by nature, falls just short of announcing that climate change will produce a zombie apocalypse plus random beheadings plus Ebola. It’s hard to imagine how they will up the language in time for the next big global confab in Paris.

But even with all that, this new document – actually a synthesis of three big working group reports released over the last year – almost certainly underestimates the actual severity of the situation. As the Washington Post pointed out this week, past reports have always tried to err on the side of understatement; it’s a particular problem with sea level rise, since the current IPCC document does not even include the finding in May that the great Antarctic ice sheets have begun to melt. (The studies were published after the IPCC’s cutoff date.)

But when you get right down to it, who cares? The scientists have done their job; no sentient person, including Republican Senate candidates, can any longer believe in their heart of hearts that there’s not a problem here. The scientific method has triumphed: over a quarter of a century, researchers have reached astonishing consensus on a basic problem in chemistry and physics.

And the engineers have done just as well. The price of a solar panel has dropped by more than 90% over the last 25 years, and continues to plummet. In the few places they have actually been deployed at scale, the results are astonishing: there were days this summer when Germany generated 75% of its power from the wind and the sun.

That, of course, is not because Germany is so richly endowed with sunlight (it’s a rare person who books a North Sea beach holiday). It’s because the Germans have produced a remarkable quantity of political will, and put it to good use.

As opposed to the rest of the world, where the fossil fuel industry has produced an enormous amount of fear in the political class, and kept things from changing. Their vast piles of money have so far weighed more in the political balance than the vast piles of data accumulated by the scientists. In fact, the IPCC can calculate the size of the gap with great exactness. To get on the right track, they estimate, the world would have to cut fossil fuel investments annually between now and 2029, and use the money instead to push the pace of renewables.

That is a hard task, but not an impossible one. Indeed, the people’s movement symbolised by September’s mammoth climate march in New York, has begun to make an impact in dollars and cents. A new report this week shows that by delaying the Keystone pipeline in North America protesters have prevented at least $17bn (£10.6bn) in new investments in the tar sands of Canada – investments that would have produced carbon equivalent to 735 coal-fired power plants. That’s pretty good work.

Our political leaders could do much more, of course. If they put a serious price on carbon, we would move quickly out of the fossil fuel age and into the renewable future. But that won’t happen until we break the power of the fossil fuel industry. That’s why it’s very good news that divestment campaigners have been winning victories on one continent after another, as universities from Stanford to Sydney to Glasgow start selling their fossil fuel stocks in protest – hey, even the Rockefeller Brothers fund, heir to the greatest oil fortune ever, have joined in the fight.

Breaking the power of the fossil fuel industry won’t be easy, especially since it has to happen fast. It has to happen, in fact, before the carbon we’ve unleashed into the atmosphere breaks the planet. I’m not certain we’ll win this fight – but, thanks to the IPCC, no one will ever be able to say they weren’t warned.