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TED2007 · 2007

"Seven experiments, all wrong": he picked the right theory by its beauty, then said that beauty has nothing to do with us

Murray Gell-Mann · Beauty, truth and ... physics?

March 2007, the TED stage. A theoretical physicist nearing eighty is describing a theory of the weak force that he and a few colleagues put forward in 1957. He pauses and repeats the number:

And it was in disagreement with seven -- seven, count them, seven experiments. Experiments were all wrong.— Murray Gell-Mann, TED2007

They published without waiting for the experiments to be fixed, "because we figured it was so beautiful, it's gotta be right!" The experiments were in fact redone, and the results came over to the theory's side.

The speaker is Murray Gell-Mann. He gave the quark its name and won the 1969 Nobel Prize in Physics for classifying the elementary particles. His 16-minute talk asks one question: in fundamental physics, why does beauty work so well as a way of choosing the right theory?

First he says what beauty means. If some mathematical notation lets you write a theory down briefly, without much complication, that is what physicists call beauty or elegance. Then he gives his explanation. Physicists dig into ever smaller scales, like peeling an onion, and each new skin turns out to need almost the same mathematics as the one before. Newton's gravity and Coulomb's electric force both fall off as the inverse square of distance. Rotational symmetry, and then the symmetry of special relativity, make Maxwell's equations shorter and shorter. The new symmetry Yang and Mills found by generalizing Maxwell's equations ended up describing the strong and weak forces. Each new skin uses mathematics we already have, so it can be written briefly, so it looks beautiful.

From this he draws a hard conclusion: the beauty has nothing to do with human beings. Aliens with seven tentacles, fourteen compound eyes and a pretzel-shaped brain would find the same laws. That the skins of the onion resemble each other is a property of nature, not a preference of the human mind.

What the audience did not hear is that the "too beautiful to be wrong" story is far more cautious on paper. The 1958 paper by Feynman and Gell-Mann states outright that the clash with a helium-6 experiment is "the most serious disagreement" and that "further check on this is obviously very desirable." In a review from the same period, Gell-Mann and a co-author even called the idea behind the theory its "last stand." The confidence on stage came afterwards.

What happened next? Partly stands. All of his examples hold up, and Yang–Mills theory became the backbone of the Standard Model. What he left out is that beauty is a rule of thumb that only works while the skins keep resembling each other. After the talk, the Large Hadron Collider (LHC) found the Higgs boson but none of the supersymmetric particles that many physicists thought were too beautiful not to exist. In 2018 the theoretical physicist Sabine Hossenfelder wrote a whole book arguing that beauty had led physics astray. Earlier, the philosopher of science James McAllister had offered a rival explanation: what physicists find beautiful is learned from the theories that worked before. That fits neatly with Gell-Mann's own phrase, "because they use mathematics we already have," and contradicts his claim that beauty has nothing to do with us.