Conspiracy theorists have it easy. They can say whatever they want without having to back it up with silly things like “evidence” or “facts.” That’s why famous rapper and notorious non-scientist B.o.B. can claim that the Earth is flat, and when astrophysicist and science communicator extraordinaire Neil DeGrasse Tyson’s tries to respectfully convince him otherwise, just say:

Globalists see me as a threat
Free thinking, got the world at my neck
Hah, am I paranoid? Picture Malcolm X
In a room full of pigs, trying not to bust a sweat
Aye, Neil Tyson need to loosen up his vest
They’ll probably write that man one hell of a check

Unfortunately, it doesn’t take a very public twitter battle to know that conspiracy theorists don’t respond to reason. Climate deniers have been telling us that for years. But what if there was another way to take these suckers down? According to a new study published this week in the journal PLOS ONE, conspiracy theories all have one fatal flaw (well, they have a lot, but stay with me): They give people too much credit.

As the study’s author, physicist and postdoctoral researchers at Oxford University David Grimes, points out, it’s not that easy to keep secrets, especially when thousands of people are in on those secrets. So if conspiracy theories are right, then eventually, someone’s gonna spill the beans. The question is: How long will it take?

To answer that question, Grimes devised a formula to predict likelihood of a conspiracy being leaked from the inside over a given period of time, given the number of people who are in on the hoax. He then tested the formula — let’s call it the Grimes’ Theory Falsification Option, or GTFO — on a few of the more popular crocks of shit conspiracy theories currently floating around: the moon landing was faked, climate change isn’t real, vaccines are dangerous, and there’s a cure for cancer, but “vested interests” are suppressing it. And he found that if those theories were true, then we probably would’ve found out by now.

According to the GTFO, the moon landing hoax should’ve been exposed within 3.68 years, the cancer cure should’ve been exposed within 3.17 years, and vaccines should be exposed within 34.78 years if only the Centers for Disease Control and Prevention and World Health Organization are in on that and within 3.15 years if drug companies are in on it, too. As for climate change — that pile of liberal lies should’ve been exposed within 26.77 years if only active scientific researchers were involved and just 3.7 years if all scientific bodies that endorse the scientific consensus on climate change were involved.

Here’s a look at these results (the vertical axis represents the likelihood of someone spilling the beans, and the x-axis represents time in years):

Failure probability over time for (a) NASA moon-landing hoax, (b) climate change hoax, (c) vaccination conspiracy, and (d) suppressed cancer cure conspiracy.
Failure probability over time for (a) NASA moon-landing hoax, (b) climate change hoax, (c) vaccination conspiracy, and (d) suppressed cancer cure conspiracy.Grimes DR (2016) On the Viability of Conspiratorial Beliefs. PLoS ONE 11(1): e0147905. doi:10.1371/journal.pone.0147905

Unable to know for sure how many people were/are in on these hoaxes, Grimes estimated that 411,000 people knew about the moon landing, 405,000 know about climate change, 22,000 know about vaccines, and 714,000 know about the cancer cure.

These estimates are a clear source of uncertainty in the results, but even if Grimes knew these numbers exactly, the formula comes with a few other sources of uncertainty.

The whole thing is based on data from three hoaxes that actually turned out to be true: the NSA spying scandal (whistleblower: Ed Snowden); the Tuskegee syphilis experiment, in which African American men infected with syphilis were not given a known cure (whistleblower: Peter Buxtun); and the FBI forensics scandal, in which pseudoscientific techniques led to the arrests of innocent men, some of whom were ultimately executed (whistleblower: Frederic Whitehurst).

Grimes estimated how many people were in on these scandals and how long it took for someone to blow the whistle and then used those estimates to create the GTFO — a prediction of how long it should take for someone to spill the beans on other hoaxes, given how many people (probably) know about it.

So there’s already some uncertainty baked right into the formula, since the data from those old scandals were just estimates (although, to be fair, Grimes erred on the high side for both metrics, assuming that more people were able to keep the secrets for longer, and thus giving conspiracy theorists a bit more breathing room).

And as Grimes points out in the paper, he doesn’t take into account things like the motivations and interactions of the individuals involved — both of which would, presumably, influence the extent to which those individuals would want to keep whatever secret they’re guarding.

But flaws aside, Grimes is right — people suck at keeping secrets. And if hundreds of thousands of people are perpetuating a lie about how we’re destroying the planet, then you know what? Good for them. That’s a genuinely impressive feat, and they should be applauded. Unfortunately, they aren’t, and we are destroying the planet.

That said, I did recently hear something about ancient aliens programming scientists to believe that climate change is real. And as far as I know, Grimes’ formula doesn’t account for brainwashing, so …