← Moser's Worm Problem / Rounds / Round 5
Shifts from black-box branch tracking to explicit contact events: exact analytic phase formulas for the four cusps, plus branch-pressure stationarity conditions, assembled into a combined event–KKT system of 9 equations in 9 unknowns. The numerical solution s=0.998903757132509, together with a full-rank 9×9 Jacobian and the convergence of all 40 randomly perturbed initial values back to the same root, strongly supports this being a numerically isolated stationary point.
Relationship to other packages, stated as far as possible in the document's own words, not my interpretation.
“This improvement is only about 10⁻⁹; its significance lies not in substantively raising the Moser lower bound, but in projecting Round 4's black-box equalization point onto a stationary solution of the exact event equations… four cusp contact events in equalization + four-branch pressure stationarity = a numerically isolated five-link candidate.” — excerpted from Section 5 and the Conclusion of this package's main document.
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