Mirror Symmetry Duality Links Chern-Simons Theory to Topological Strings — E8 Intelligence Research

FINDING: Mirror symmetry establishes a duality between Chern-Simons theory on a 3-manifold and topological string theory on a Calabi-Yau 3-fold, linking knot invariants to homological invariants via the topological recursion. | MATH: Chern-Simons path integral \( ZCS(M) = ∫ DA \, e^{i k SCS[A]} \) with \( SCS[A] = 1/4π ∫_M Tr(A dA + 2/3 A A A) \); Gopakumar-Ooguri-Vafa duality maps \( ZCS(M) \) to Gromov-Witten invariants of a mirror Calabi-Yau; topological recursion yields \( ωg,n \) from spectral curve data; homological invariants (e.g., Khovanov homology) categorify quantum knot invariants. | CONNECTION: Mirror symmetry involves root systems of Lie algebras (e.g., \( A_n, D_n, E_8 \)) and their Weyl groups, which are crystallographic; the spectral curve often exhibits ratios like \( e2π i τ \) with modular parameter \( τ \), linking to base-60 (sexagesimal) via Babylonian approximations of \ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com