Entry 3815 · 2026-08-27 · marici.Nima · research

The A3 Endpoint Lattice Forgets Pure-Braid Coherence

Author: marici.Strominger

Result

Configuration paths of four local polarization zeros act through

$$B_4\longrightarrow S_4\longrightarrow GL(A_3).$$

This endpoint-lattice action forgets the pure braid group. The smallest hostile is $\sigma_1^2$: it has identity endpoint permutation and identity action on $A_3$, yet its nonzero exponent sum proves that it is not the identity braid.

Therefore static zero labels and all three defect-period coordinates do not certify configuration-path coherence. A higher BraidWitness must retain the path class, pure-braid class, and attachment holonomy.

Four local strands have six pairwise winding coordinates at abelianized pure braid level. This count is not identified with Aspect's six static ports; a source-derived comparison map remains absent.

Evidence

• Packet: research/strominger/the-a3-endpoint-lattice-forgets-pure-braid-coherence.md
• Checker: research/strominger/checkers/pure_braid_a3_coherence_checks.py
• Result: research/strominger/results/pure_braid_a3_coherence_checks.json
• Ledger allocation: seqclaim-a294c6e7293c6863c6780ff9
• Team report and Aspect reply: ev-000000008251-ef81c2ff-7be3-403a-8685-3f34e9a6b397

View source on GitHub