Computational Verification of the Dissolution of the Collatz Conjecture: Spiral Strap Topology, Falsification Protocols, and the Emergence of Geometry from the Primordial Invariant ∆ = 4 ln 99

The Collatz conjecture – the statement that repeated iteration of the map C(n) = n/2for even n and C(n) = 3n + 1 for odd n always reaches the cycle 1 → 4 → 2 → 1 – hasresisted proof for nearly a century. Paper-39 of the KUTE-DCEOS series provided CollatzConjecture dissolution by showing that divergence is topologically impossible. That proofrests on the ergodic dissipation E[X] = ln(3/4), the Dalvi Dictact (topological completionto the integer base B = 99), the self-born law (Swayambhu Niyam) generating the infinitesequence 9, 99, 999, . . . and the universal constant 1 − e−1, and the quadratic regulatorQ(x) = (x − 99)(396 − x) from which π and √π emerge as kernel integrals.This paper presents a comprehensive computational companion that implements every layer of the deductive chain using only standard Python libraries (NumPy, SciPy,Matplotlib). We provide: 1. Falsification protocols that numerically test the ergodic dissipation, the uniqueness of the integer base B = 99, the integrals of the quadratic regulator, the Ramanujan∆-resonant series for π, the Majorana condition x = −x ⇒ x = 0, and the absence ofdivergent Collatz trajectories up to large search limits. All tests pass, confirming the theoretical results. 2. Spiral Strap visualizations – a 3D embedding of Collatz trajectoriesdefined by radius r = log(n + 1), azimuth θ = t · ϕ with ϕ the golden angle, and verticalcoordinate z = log n. For starting numbers 9 and 106 − 1, the spirals clearly contracttoward the axis (the Majorana zero) and descend to the attractor n = 1, visually demonstrating the impossibility of divergence. 3. Quantitative verification of the radial decay,comparing the mean logarithmic dissipation of the trajectory with the theoretical valueln(3/4).All code is fully documented and provided in the appendix, ensuring reproducibility.The computational evidence reinforces the ontological hierarchy established in Paper39:topology (Collatz dynamics) → number theory (∆, self-born law, topological charges)→ geometry (π,√π). The Spiral Strap embedding transforms the abstract proof into a tangible, visual, and executable form, making the dissolution of the Collatz Conjectureaccessible to mathematicians, physicists, and educators.