LDI Chirality Knot Theorem (A Complete Computable Knot Invariant)

We prove that the LDI-Chirality invariant distinguishes all non-degenerate knots. The proofderives entirely from the general theory: LDI is relabeling-invariant (hence chirality-blind), whilethe chiral index χ is anti-invariant under the canonical involution (hence chirality-sensitive).The writhe emerges not as an ad hoc addition but as the chiral index applied to torsion. Thecomplete invariant Λ = (LDI, χ) separates knots by structure and handedness. It is computable in O(n).