As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand reality. From computing and communication to materials science, quantum technologies continue to push the boundaries of what we once thought possible. Even my own research on dark energy and time travel has been shaped by these leaps. Yet, despite all this progress, one of the biggest unsolved mysteries in physics and mathematics remains—the Navier-Stokes equation.

Quantum mechanics and fluid dynamics, though seemingly distinct, share deep conceptual and mathematical connections. While quantum mechanics governs microscopic particles through probability and wave functions, the Navier-Stokes equations describe fluid motion. Both fields exhibit inherent unpredictability—turbulence in fluids mirrors quantum complexity. Recent research suggests quantum principles could develop fluid dynamics, with quantum algorithms enhancing simulations, spin-based representations reformulating fluid equations, and quantum-inspired methods improving computational efficiency. These developments highlight the potential of quantum physics in unraveling turbulence and other complex fluid behaviors.