Oddly Wired
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pupil dilation

Your pupils widen when you encounter mental difficulty.

A 1964 study found that pupil diameter increases in relation to the effort required to process information.

The relationship is a positive correlation, not a direct mathematical proportion.

Your eyes reveal the labor of your thoughts.

Where this comes from

Study
Hess and Polt, 1964, Science
What the check found
The study exists and confirms the correlation, but describing it as a 'direct proportion' is a mathematical overstatement not supported by the experimental data.
Confidence
Solid, with limits
pupil dilationcognitionattention

Related

One of these every day, and every one names the study it came from. When a finding is contested, it says so.