Unifying Knot Invariants via Gauge Theory, Mirror Symmetry, and Fluid Helicity — E8 Intelligence Research

FINDING: Knot invariants (Alexander, Jones, homological) are being unified through gauge theory, mirror symmetry, and fluid helicity, revealing deep connections between topology, quantum field theory, and dynamical systems. | MATH: Key invariants: Alexander polynomial Δ_K(t) (abelianization of knot group), Jones polynomial V_K(q) (from Chern-Simons SU(2) path integral), higher-order Alexander invariants (Cochran-Harvey-Friedl) factorizing via Magnus matrices; helicity H = ∫ A·B d³x (linking number of vortex lines); homological invariants from mirror symmetry (Aganagic) via HOMFLY-PT polynomials; Witten's 3D/4D/5D gauge theory constructions (Chern-Simons → Donaldson → Khovanov homology). | CONNECTION: Jones polynomial evaluated at q = e2πi/5 (golden ratio phase) yields Fibonacci numbers — direct link to 1.618. Alexander polynomial at t = -1 gives determinant, related to linking numbers (integer, base-10 but reducible to base-60 via modular arithmetic). Kauffman bracket uses A = e^{iπ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com