Chern-Simons Theory Unifies Knot Invariants Across Dimensions — E8 Intelligence Research

FINDING: Knot invariants from Chern-Simons gauge theory unify quantum topology, mirror symmetry, and quiver structures across 3,4,5 dimensions. | MATH: Chern-Simons action \( SCS = k/4π ∫_M Tr(A dA + 2/3 A A A) \); Jones polynomial \( V_K(t) \) as quantum invariant; homological invariants from mirror symmetry; quiver representations encode recursion relations. | CONNECTION: No explicit golden ratio, base-60, or crystallographic constants found. However, knot invariants relate to root systems (e.g., Lie algebra \( sl(N) \) representations) and lattice structures via quantum groups and braid group actions. The Jones polynomial evaluated at roots of unity (e.g., \( t = e2π i / r \)) links to modular forms and cyclic symmetries. | DEPTH: 9 — profound unification of gauge theory, string theory, and topology; directly reveals how quantum geometry encodes topological invariants, with deep implications for quantum computing an Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com