10 comments

[ 4.3 ms ] story [ 33.9 ms ] thread
This seems closely related to the work on proving the Riemann hypothesis, where there has been work on attempting to show some quasi-crystalline structure of the zeta function zeros (https://en.wikipedia.org/wiki/Riemann_hypothesis#Quasicrysta...). The Riemann hypothesis itself has deep consequences for the theory of primes. Cool stuff.
(comment deleted)
I am very much a layman here. Can someone in this space tell me what it means to shine light on a number?
"Shining light" on something is kind of a metaphor for figuratively illuminating something, or showing something more clearly (pretend someone shines light on something in the dark). More precisely, I believe this is saying that a chemist is providing more information about a prime number PATTERN.
It's a bit of a pun too, since crystallography is, in essence, shining a light on something and studying what comes back.
> Hoping to highlight the elusive order in the distribution of the primes, he and his student Ge Zhang had modeled them as a one-dimensional sequence of particles — essentially, little spheres that can scatter light. In computer experiments, they bounced light off long prime sequences, such as the million-or-so primes starting from 10,000,000,019.

It sounds like they simulated shining light on particles that were distributed based on the interval between subsequent primes, then looked for patterns in the resulting diffraction. The title was worded that way for a pun (the chemist revealed interesting information about the pattern by literally shining light on it).

Maybe I'm skimming a little too lightly here, but... diffraction patterns are just a Fourier transform. If you have a look at prime spirals (Ulam spirals and Sacks spirals), it's trivial to see that there is some structure that will turn up in a Fourier transform.
OK so he takes the Fourier transform of a non-periodic array of delta functions with the delta functions being at the prime positions, and notices peaks at inverse separations of 2, 6, etc. There’s neither X-ray diffraction, chemistry, or any real math here. Garbage.
If you mean the comment, yes.
It's badly written, but my read is it's saying basically Chemists have used something trivially known in current Mathematics in a unique way to produce something that looks pretty interesting but does not further knowledge in Chemistry?

Yet to pass peer review.

Sounds like fun, just not sure why it needed the build up.