The Hidden Math of Ocean Waves Crashes Into View

It talks about how they figured out and then proved a pattern that identifies what kind of disturbances will destabilize a regular wave and which ones won't. The intro and background parts of the article feel a bit AI, but once they get into the meat of the current discovery, it gets better and more human. Neat story.

The most mundane things can be incredibly interesting.

"Like a ripple, on still water, when there is no pebble thrown"

When I went to college there was a kid at the dorms who had grown up in a small quiet Florida oceanfront resort, with very few people under the age of 65.

He was a mathematical genius and had been fascinated by the ocean since being a toddler, and started surfing as a pre-teen.

He had been working on equations like this his whole life, and had really accelerated with the recent arrival of electronic calculators in the early 1970's.

They called him "the intelligent surfer" :)

$100 feels like a bargain for that proof!

It's worth reading Doron Zeilberger's many opinions about proof/rigor and other things.

https://sites.math.rutgers.edu/~zeilberg/OPINIONS.html