Topological Defects in Floquet Codes: Unifying Error Thresholds via Lattice Geometry — E8 Intelligence Research

FINDING: Topological defects in dynamical quantum codes (Floquet codes) and lattice systems connect error-correction thresholds to lattice geometry, but the search results are fragmented across unrelated domains (liquid crystals, QCD, curvature generation) with no unified mathematical core extracted. | MATH: No explicit equations, constants, or ratios are provided in the abstracts; the only concrete mathematical anchor is the root lattice A1^4 (hypercubic Z^4) implied by the search query, and the Fermilab lattice QCD method (heavy-quark masses via one-loop perturbation theory, arXiv:0710.4339v1) — but no numerical values are given. | CONNECTION: The A1^4 root lattice is the 4D hypercubic lattice (Z^4), whose dual is itself; its symmetries are the hyperoctahedral group B4 (order 384), a crystallographic point group. This lattice supports Z2 topological defects (domain walls) in Ising-type models, and its packing density is 1 (trivial). No golden-ratio or base-60 connections are evident Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com