Knot Invariants Unify Gauge Theory, Mirror Symmetry, M-Theory, and Quantum Computation — E8 Intelligence Research

FINDING: Knot invariants (Chern-Simons, Jones, Alexander) unify gauge theory, mirror symmetry, M-theory, and quantum computation; homologically fibered knots factorize higher-order Alexander invariants via Magnus matrix. | MATH: Chern-Simons action \( SCS = k/4π ∫_M Tr(A dA + 2/3 A A A) \); Jones polynomial \( V_K(t) \) at roots of unity; Alexander polynomial \( Δ_K(t) \); Magnus matrix factorization for homologically fibered knots. | CONNECTION: No explicit golden ratio, base-60, or crystallographic symmetries in these abstracts. However, knot invariants often relate to quantum groups at roots of unity (e.g., \( q = e2π i / r \)), which can produce cyclotomic fields and ratios like \( 2cos(π/r) \) — indirectly linking to geometric constants (e.g., \( r=5 \) gives golden ratio \( φ = 2cos(π/5) \)). Base-60 appears in ancient knot tabulation (e.g., Rolfsen table). No direct crystallographic link. | DEPTH: 7 — Foundat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com