I feel like I’ve taken another small step toward understanding primes and the Riemann Hypothesis.

In 1990, Bernard Julia proposed a fascinating physical model called the “Primon Gas.” It treats primes as particles and interprets the Riemann zeta function as the partition function of a thermodynamic system.

In my ongoing “Prime Geography Atlas” project, I’ve been doing large-scale numerical explorations. I discovered two prominent structures at finite scales (organizing cores around log₁₀ ≈ 8.22 and 10.0, connected by a transition layer). I’ve now incorporated these into Julia’s Primon Gas model and formulated them as an Effective Field Theory.

When I consider the **topological stability in the thermodynamic limit**, a path toward the Riemann Hypothesis seems to emerge naturally.

This is still a hypothesis, but it’s an attempt to explain — from a physical perspective — why the beautiful order observed at finite scales might persist all the way to infinity.

If you’re interested, please take a look at the poster.
Feedback and comments from people who love math, physics, or number theory would be greatly appreciated!

#PrimeNumbers #RiemannHypothesis #NumberTheory #Mathematics #IndependentResearch