Collage of Paul Dirac in 1933 split down the face by a zigzag tear, one half black and white and the other a yellow-and-navy photographic negative, with e⁻ and e⁺ stickers, on teal

Dirac Quote: Beauty in Equations Over Experiment

“It is more important to have beauty in one's equations than to have them fit experiment.”

— Paul Dirac, 1963

“The Evolution of the Physicist's Picture of Nature”

The source

The exact words

“It is more important to have beauty in one's equations than to have them fit experiment. … It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress.”

“The Evolution of the Physicist's Picture of Nature”. Scientific American, Vol. 208, No. 5, May 1963.

The story

Why Dirac said it

Dirac made the remark while telling a story about Erwin Schrödinger. In 1926 Schrödinger first found a relativistic wave equation for the electron, worked out its predictions for hydrogen, and saw that they did not match experiment. Discouraged, he set it aside and published the simpler, non-relativistic version instead.

The relativistic equation was not wrong; it simply left out the electron's spin, which nobody understood yet. Dirac's moral: if your equation is beautiful and the numbers disagree, the disagreement may come from something you have not taken into account. Small discrepancies tend to clear up as understanding grows.

He had earned the right to say it. In 1928 Dirac wrote down his own equation for the electron, guided largely by mathematical elegance. It required a strange partner particle with the same mass and opposite charge. Many thought it a flaw. In 1932 Carl Anderson found the positron in cosmic rays, and Dirac shared the 1933 Nobel Prize with Schrödinger.

Dirac's taste for brevity was legendary: his PhD thesis, the first ever on quantum mechanics, is short and written by hand. See it in Dirac's Handwritten Thesis.

Physicist

Who was Paul Dirac?

Born
8 August 1902, Bristol
Died
20 October 1984, Tallahassee
Known for
Dirac equation, antimatter
Said it
Scientific American, 1963

Paul Dirac was born in Bristol, studied electrical engineering and then mathematics, and became one of the founders of quantum mechanics while still in his twenties. His equation united quantum theory with special relativity and predicted antimatter.

He held the Lucasian Chair of Mathematics at Cambridge from 1932 to 1969 and later moved to Florida State University. Colleagues joked that the unit of speech was the “dirac”: one word per hour. His book The Principles of Quantum Mechanics (1930) is still in print.

Cover: The Principles of Quantum Mechanics by P. A. M. Dirac

Read next

The Principles of Quantum Mechanics

P. A. M. Dirac · 1930

The book where Dirac's idea of beauty is on every page: quantum theory built from a few clean principles and his own bra–ket notation. It is demanding, but it is the man himself at full strength.

Questions

About this quote

Where did Dirac say “It is more important to have beauty in one's equations than to have them fit experiment”?

In his article “The Evolution of the Physicist's Picture of Nature”, published in Scientific American in May 1963.

Was Dirac saying experiments don't matter?

No. His point, made with the story of Schrödinger's first relativistic equation, was that a beautiful theory with sound insight should not be abandoned too quickly over discrepancies that may come from effects not yet understood.

How did beauty lead Dirac to antimatter?

His elegant 1928 equation for the electron implied a particle with the same mass and opposite charge. Carl Anderson discovered this positron in 1932.

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