I was wondering if there are intuitive "physical" arguments to solve problems from number theory (elementary number theory in particular, but also advanced topics).
To make an example, a proof of some equivalences about primes that uses concepts like energy, forces, or something of that kind.
Can you suggest some references on this subject (or make some examples yourself)?
A "physical" approach to a possible proof of the Riemann Hypothesis: The Spectrum of Riemannium.
The idea: the zeros of $\zeta$ are "like" the energy levels of an atomic nucleus.