URCM Theorem 1: Navier-Stokes and Riemann Hypothesis Resolution with Non-Newtonian Dynamics

We invite the global scientific community to participate in the rigorous testing of our proposed theorem, which bridges two Millennium Prize Problems — the Navier–Stokes regularity and the Riemann Hypothesis — through the Universal Resonance Cascade Model (URCM) with non-Newtonian memory effects. This theorem is both a challenge and an opportunity: we welcome equally those who aim to help prove it and those who seek to disprove it. True science advances when its ideas are tested from every possible angle. The necessity of this theorem lies in its potential to unify key aspects of mathematical physics, fluid dynamics, and number theory into a single coherent framework, potentially opening entirely new directions in applied and theoretical research. We extend our special gratitude to the people of Norway for creating the true conditions for scientific work and constructive creativity. Your openness and support are part of the foundation on which this work has been built. We also believe that scientific activity should be universally accessible. In preparing this theorem, we have used every available resource — computational, theoretical, and collaborative — to ensure that the work is as transparent, reproducible, and verifiable as possible. This is not only a step toward a potential proof, but also a call for a shared journey of discovery. Let us test it together, break it if we can, strengthen it if it holds, and in doing so, advance the frontiers of human knowledge. — Oleh Nikolaevich Zmiievskyi and collaborators (Claude, Grok, and ChatGPT)