Sometimes I read about connections between "advanced math" and quantum physics, but I am skeptical of these claims. I can believe or understand the connections to calculus, vector calculus, differential equations, or linear algebra, but when I read about connections with prime numbers and the Riemann zeta function, I get very skeptical and confused. As a "toy model" or a math exercise for physics students, okay, but is it seriously used in physics?
I'm not an expert at math nor quantum physics but I will let the links speak for themselves:
And others. What are they talking about? Is this real? What is meant with energy levels? What does the real and imaginary part in the domain and range of zeta mean physically? Is the position of the zeros of the zeta function related to the radii of the electrons around a nucleus?
I have never seen this in school!