Helicity as Topological Invariant Linking Fluid Dynamics to Quantum Groups — E8 Intelligence Research

FINDING: Helicity in ideal fluids is a topological invariant (linking number of vorticity flux tubes), and its quantization structure connects classical hydrodynamics to quantum groups and TQFT. | MATH: Helicity \( H = \int \mathbf{v} \cdot \boldsymbol{\omega} \, d^3x \), with \(\boldsymbol{\omega} = \nabla \times \mathbf{v}\). For disjoint flux tubes \(i,j\) with circulations \(\Gamma_i\), \(H = \sum_i \Gamma_i^2 \, \mathrm{Link}(C_i,C_i) + 2\sum_{i Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com