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Science Quote by Werner Heisenberg

"The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases"

About this Quote

Heisenberg is doing something sly: he frames quantum weirdness not as a scandal in nature, but as a scandal in our storytelling. The “difficulty” isn’t just that electrons sometimes look like bullets and sometimes like ripples; it’s that the mind keeps demanding a single, clean picture. He punctures that demand by calling both “mental pictures” incomplete and, more damningly, mere “analogies.” In other words, particle and wave aren’t rival facts waiting for a winner. They’re metaphors with good behavior only at the edges.

The line lands with the cool authority of early quantum theory’s cultural moment: physics moving from Victorian clockwork to a world where observation, language, and limits are part of the apparatus. “Experiment lead us to form” quietly flips the hierarchy. We don’t start with pure concepts and then test them; the lab drags our imagination around by the wrist. That’s the subtext: knowledge is engineered under constraints, and our best descriptions are negotiated settlements between mathematics, instruments, and intuition.

“Accurate only in limiting cases” is the key clause, almost a legal disclaimer. Heisenberg is inoculating the reader against category addiction: yes, in some regimes the particle picture works, in others the wave picture works, and in the quantum middle neither is sovereign. It’s a philosophical move disguised as a technical one, insisting that reality isn’t obligated to fit the furniture of human common sense.

Quote Details

TopicScience
Source
Later attribution: Principles of Physical Optics (Charles A. Bennett, 2022) modern compilationISBN: 9781119801825 · ID: wnZ5EAAAQBAJ
Text match: 95.45%   Provider: Google Books
Evidence:
... The solution of the difficulty is that the two mental pictures which experiment lead us to form — the one of the particles, the other of the waves — are both incomplete and have only the validity of analogies which are accurate only in ...
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Citation Formats

APA Style (7th ed.)
Heisenberg, Werner. (2026, March 22). The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases. FixQuotes. https://fixquotes.com/quotes/the-solution-of-the-difficulty-is-that-the-two-111196/

Chicago Style
Heisenberg, Werner. "The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases." FixQuotes. March 22, 2026. https://fixquotes.com/quotes/the-solution-of-the-difficulty-is-that-the-two-111196/.

MLA Style (9th ed.)
"The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases." FixQuotes, 22 Mar. 2026, https://fixquotes.com/quotes/the-solution-of-the-difficulty-is-that-the-two-111196/. Accessed 4 Apr. 2026.

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Werner Heisenberg

Werner Heisenberg (December 5, 1901 - February 1, 1976) was a Physicist from Germany.

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