"Unified Recursive Emergence Theory (URET): A Depth‑Limited Quadratic Map Linking Quantum, Neural, and Cosmic Energy Patterns" (Concise, descriptive, and clearly signals the novel bridge across physical scales.)

Unified Recursive Emergence Theory (URET) proposes that a single, low‑order complex recursion generates statistically similar energy patterns at three vastly different physical scales:• sub‑atomic jet structures (quantum regime)• mammalian brain connectomes (neural regime)• dark‑matter filaments in the cosmic web (cosmic regime). The study defines an energy momentM10(z0,c;λ)=∑n=09∣zn∣e−λ∣zn∣2M_{10}(z_0,c;\lambda)=\sum_{n=0}^{9}|z_n|e^{-\lambda|z_n|^{2}}M10(z0,c;λ)=∑n=09∣zn∣e−λ∣zn∣2 with zn+1=zn2+cz_{n+1}=z_n^{2}+czn+1=zn2+cand demonstrates—using a 10 000‑seed Monte‑Carlo run—that the moment lists for three independent parameter choices (cq,cn,cc)(c_q,c_n,c_c)(cq,cn,cc) remain strongly correlated (ρ ≈ 0.6 – 0.7) while control maps collapse to ρ ≈ 0. Key points Laptop‑scale code (50 lines Python) reproduces the result in under two seconds—no HPC required. Provides a falsifiable metric for scale‑invariance; failure under larger datasets or alternate ccc derivations would falsify URET. Opens a new bridge between quantum confinement, synaptic plasticity, and cosmological structure formation. Package contents URET_manuscript.md — draft paper (Markdown). uret_10k_test.py — validation script (MIT‑licensed). README.md — reproduction steps & Zenodo upload guide. LicenseManuscript © 2025 Allen Wagner — Creative Commons BY 4.0.Code — MIT License.