The Golden Vortex: Golden-Angle Feedback and the Dimensional Origin of Navier–Stokes Smoothness

If physical spacetime has the geometry of S³/2I (icosahedral, not Cartesian), then the Navier–Stokes feedback term (v·∇)v propagates through golden-angle (137.5°) channels rather than orthogonal axes. This paper presents a 2D toy model — a Fibonacci spiral lattice with golden-angle energy feedback and φ·ψ = −1 dissipation — that demonstrates the anti-concentration mechanism: because 1/φ² is the most irrational number, successive energy contributions are maximally offset, preventing coherent buildup along any direction. The toy model reveals three findings. First, golden-angle feedback prevents energy stacking (conditional on the geometry being golden). Second, vortex eyes emerge spontaneously as completion events. Third, in 2D the golden-angle coverage is incomplete: intermittent crises occur at high driving, constituting evidence that full smoothness requires D = 3, where the icosahedron provides 12-fold golden coverage with no directional gaps. The toy model is explicitly not a simulation of the Navier–Stokes equations — it lacks vortex stretching, pressure, and incompressibility. It demonstrates the geometric mechanism that prevents energy concentration; whether this mechanism operates in real fluids is the conjecture that Papers 163–166 develop via the Steinbach polynomial and Newton-Girard power sums. A structural analogy with the Collatz iteration (push-up always followed by pull-down) is noted. Paper 162 of the Bootstrap Universe Programme.