Chiral Escape, Eight-Dimensional Contact-Topology Search, and a Local-Stability Draft

Connections · Connections

Relationship to other packages, stated as far as possible in the document's own words, not my interpretation.

“The common feature of the four single-mode scans is … a cusp or near-cusp forms near zero perturbation; breaking left–right symmetry alone provides no stable positive gain. Hence: mirror symmetry is not an arbitrary aesthetic restriction, but the natural equilibrium point of the congruent minimum across chiral branches.” — from Section 2, “The Four Basic Chiral Modes,” of this package's main document.

Round 6 Core Content

The general five-link neighborhood (symmetric + antisymmetric parametrization), the four basic chiral modes, the eight-dimensional topology-escape search, a random contact-topology survey (1600 candidates), a local contact-stability draft (sampled stability boxes at 12 scales), two scenarios for this round's verdict, and the direction for Round 7.

Interpretation · Interpretation

A short concluding passage: the eight-dimensional search produced no reproducible positive transcendence, and all four single modes attain a congruent cusp near zero perturbation, supporting local stability of the event root.

Supplementary Local-Escape Audit

A multi-scale survey centered on the event root, with seven scale radii and 900 eight-dimensional directions per radius, totaling 6300 valid candidates — the high-resolution review found no reproducible local chiral escape.

Files · Files

sha256 6fddf5567de9272064a30869a4c358d274346e69b70a7c5bcc993b115a19bfa1