<b>Scaling of Coupling Thresholds with Loop Complexity</b>

<p dir="ltr">Elias De Jesús, BS, MS</p><p dir="ltr">Independent Researcher (Bioscience Background) This technical note proposes that the critical coupling threshold in feedback systems scales with relational complexity. In earlier two-loop control experiments, <b>coherence emerged near λ ≈ 1.0; extending this to triadic interactions suggests a higher threshold near μ ≈ 1.7, consistent with exploratory AdS/CFT boundary data</b>. The result, initially preliminary, has since <b>drawn independent interest from researchers exploring unification frameworks in Europe</b>, indicating that the phenomenon may be reproducible across models. This scaling behavior may represent a bridge between bulk and boundary dynamics—potentially linking string theory and loop quantum gravity through a unified relational framework.</p><blockquote><b>Archival Note:</b> This work is also archived in the Zenodo research repository for long-term preservation and citation continuity: <a href="https://doi.org/10.5281/zenodo.17436270" target="_blank">https://doi.org/10.5281/zenodo.17436270</a></blockquote><p></p>