Albert Einstein didn’t just “get some things wrong.” In 1916, he actively killed his own gravitational-wave result, because the math produced infinities that appeared to make the phenomenon impossible. When Einstein and physicist Nathan Rosen tried to express gravitational waves in general relativity, the solutions “blew up,” creating singularities and divergences that, at face value, “can’t be physical representations of reality,” according to theoretical physicist Nicolás Yunes at the University of Illinois Urbana-Champaign.

That first wrong turn mattered immediately. Einstein wrote up the results and submitted the work to Physical Review, which at the time had recently begun sending papers to outside experts for peer review. Then an anonymous reviewer caught an error in Einstein’s math. When Einstein learned about it, he was so furious that he withdrew the paper and submitted it to a different journal. But here is the critical twist: the reviewer had identified a real issue, not a fatal one. Yunes explains that the “mathematical infinities were a coordinate artifact.” In other words, the infinities were a problem with the way the equations were being described, not necessarily with the physics.

If you’ve ever wondered how “infinite” can still end up being “real,” the intuition is similar to a famous geometric trap. In the same way that lines of longitude seem to converge at a “singularity” at Earth’s North Pole even though nothing unusual is happening on the ground, Einstein’s particular mathematical setup made gravitational wave solutions look like they explode. The fix was to use a different set of coordinates. Without Einstein’s knowledge, the reviewer befriended and demonstrated the error to Einstein’s assistant, who then explained it to Einstein. Einstein corrected the error and republished the paper with the opposite conclusion, showing that gravitational waves do, in fact, exist.

So the headline takeaway is not just that Einstein was wrong. It is that peer review and careful mathematical framing can determine whether a breakthrough survives contact with reality. Physical Review’s shift toward outside expert review created a pipeline for exactly this kind of error detection. In modern terms, it’s like having a second set of eyes that can distinguish “this model is broken” from “the model is right, the coordinate system is wrong.” And because gravitational waves later became a major part of modern astrophysics, the stakes of getting this distinction right were not academic. Yunes ties the broader significance directly to impact: we remember Einstein for the things he got right, “for the most part,” because those successes shocked the scientific world and eventually affected everyone on Earth.

Einstein also repeated the pattern around black holes, but with a different outcome in his thinking. When examining the mathematics around black holes, he once again calculated “impossible infinities,” this time at the edge of a black hole. John D. Norton, a professor in the Department of History and Philosophy of Science at the University of Pittsburgh, told Live Science in an email that Einstein was skeptical of black holes because his math suggested a breakdown in space-time at the black hole’s event horizon. Norton notes that Einstein believed there would be a singularity in space-time already at the event horizon, which is now regarded as the point of no return for those falling into a black hole.

But Norton argues Einstein’s persistence wasn’t mere stubbornness. It reflected a philosophical stance on the relationship between mathematics and physics. Einstein was “unmoved by alternative analyses” that treated his mathematical infinities as artifacts of the specific mathematical methods he preferred. That distinction matters for decision-makers who think about technical execution: even when the world later proves a concept correct, the reasoning process that led someone to reject it can be grounded in real commitments about what counts as valid representation.

Then there is Einstein’s most famous wrong turn, quantum mechanics. His central objection involved quantum entanglement, where measuring one particle instantly affects the other, regardless of distance. In a 1947 letter to Max Born, Einstein wrote, “I cannot seriously believe in it because the theory cannot be reconciled with the idea that physics should represent a reality in time and space, free from spooky actions at a distance.” Einstein thought entanglement violated special relativity’s constraint that nothing can travel faster than light. As a result, he believed quantum mechanics must be incomplete and that a deeper, unknown description of reality would restore order. Yunes summarizes the personal ending: “He died not liking quantum mechanics.”

What changed is the evidence base. It wasn’t until 1964, almost a decade after Einstein’s death, that John Bell proved entanglement was real. Yunes emphasizes the modern implication: “a lot of the technology that we have relies on quantum mechanics, and so we know it’s correct,” even though it remains incompatible with general relativity, the classical theory Einstein built. For context, Yunes adds that it may be that general relativity is wrong, or that quantum mechanics is not the right description at very strongly gravitating systems and Planck-scale dynamics, where quantum effects dominate. The center of a black hole is the example: general relativity predicts a singularity, while quantum mechanics has no way to describe it, because it is the kind of regime where neither framework cleanly replaces the other.

The boardroom-adjacent lesson is that Einstein’s “mistakes” often acted like stress tests for the scientific method, not dead ends. Norton offers a crisp example with general relativity itself: Einstein based it on generalizing the principle of relativity to acceleration and on what he soon called Mach’s principle, neither of which proved compatible with his final general theory of relativity. And even Einstein’s collaborators saw how seriously he treated the process. When writing a book with Leopold Infeld, Infeld said he was taking special care because Einstein’s name would appear on it. Einstein laughed and said, “There are incorrect papers under my name, too.”

For executives and operators tracking technical bets today, the second-order stake is simple: high-stakes discoveries are not linear. They survive by separating coordinate artifacts from physical breakdowns, by using external review when the internal view gets trapped, and by treating errors as information rather than reputation damage. Einstein’s story is a reminder that even a genius can be wrong in the moment, and the difference between a dead research path and a foundational one can come down to how quickly the error gets identified, reframed, and corrected.