A Quantum-Inspired Constraint for Navier–Stokes Turbulence

Abstract We introduce a simple, quantum-inspired equation to help model turbulence in fluid systems. The equation is: E = ρ × (1 + ε) + γ × π Originally developed for quantum error correction, this formula captures not just the amount of error, but also the part of it that comes from the system’s built-in structure — what we call its geometry. When applied to the Navier–Stokes equations, this term acts as a constraint. It helps us see which parts of turbulence can be corrected, and which parts are fundamentally uncorrectable. This approach creates a bridge between quantum theory and fluid dynamics, offering a new way to understand why turbulence persists even in controlled systems.