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Jul 16, 2022

Knots in the resonator: Elegant math in humble physics

Posted by in categories: mathematics, mobile phones, physics

At the heart of every resonator—be it a cello, a gravitational wave detector, or the antenna in your cell phone—there is a beautiful bit of mathematics that has been heretofore unacknowledged.

Yale physicists Jack Harris and Nicholas Read know this because they started finding knots in their data.

In a new study in the journal Nature, Harris, Read, and their co-authors describe a previously unknown characteristic of resonators. A is any object that vibrates only at a specific set of frequencies. They are ubiquitous in sensors, electronics, musical instruments, and other devices, where they are used to produce, amplify, or detect vibrations at specific frequencies.

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