Hexagonal Recursion and the Six-Peak Slip Structure

The funneled-spring recursion geometry of the Cohesion UFT, under hexagonal forcesymmetry, cannot remain circular. Continuous surplus compression forces the recursionpath into the lowest-order angular deformation compatible with sixfold symmetry:Σ(θ) = Σ0 +δΣ cos(6θ). This cos 6θ mode produces six torsion maxima per full rotation,each triggering a discrete slip event. The six events together constitute the total slipoperator ∆θtotal = 2g/ω, which is now understood as a six-term composite. Thispaper derives the per-peak slip operator ∆θ(θk), the amplification factor K, and theirgeometric consistency with the funneled-spring curvature–torsion invariants. The sixpeak structure is shown to be essential for uniform angular correction, elimination ofdrift, and spherical closure of the recursion attractor.