UIDT v3.9 presents a first-principles determination of the isospin mass splitting of the doubly charmed baryon Ξcc via four-term chromomagnetic decomposition, and requests a Lattice-QCD determination of the cc-diquark NBS wave function at the origin using the extended HAL QCD method. [1] 📐 UIDT v3.9 | 🏛️ Doubly Charmed Baryons | ⚖️ Lattice-QCD Collaboration Request | 📜 CC BY 4.0 Abstract The Unified Information-Density Theory (UIDT) Framework (v3.9 DOI: 10.5281/zenodo.17835200 ) predicts the isospin mass splitting of the doubly charmed baryon Ξcc as ΔMUIDT = 1.504 MeV via a four-term chromomagnetic decomposition at 80-digit mpmath precision. [1] The result agrees with the LHCb measurement ΔMemp = 1.43 ± 0.76 MeV (residuum 0.074 MeV, 0.566 fm⁻³ ⚠️ [TENSION ALERT] Additional geometric vacuum contribution to Ĝ operator required |ψ|² 0.70 fm⁻³ ❌ Falsified Coulomb ansatz rejected; mandatory framework review 🔁 Reproducibility & Verification 💻 Primary Repository: github.com/Mass-Gap/UIDT-Framework-v3.9-Canonical 🧮 Reproduction Command: pytest verification/tests/ (requires mpmath, pytest; no mocks; 80-digit residual checks; zero float() conversion) [1] 🔐 Precision Standard: mp.dps = 80 declared locally per UIDT Race Condition Lock (no centralized precision control) [1] 📄 Technical Document: UIDT v3.9 - Collaboration Request: Lattice-QCD Determination of |ψcc(0)|² for the Ξcc Diquark System (enclosed, 8 pp. + bibliography) [1] 📬 Cover Letter: Addressed to Prof. N. Ishii & K.-W. Kelvin-Lee, HAL QCD Collaboration, RCNP Osaka University (enclosed) [1] ⚖️ Proposed Collaboration Structure Task HAL QCD / Ishii Group UIDT / P. Rietz Gauge configurations ✅ (existing CP-PACS/JLQCD) — NBS wave function calculation ✅ — |ψcc(0)|²lat extraction & uncertainty ✅ — UIDT parameter input (Δ*, γ, αs) — ✅ 80-digit chromomagnetic recalculation — ✅ Joint publication (PRL / PRD letter) ✅ shared ✅ shared ⚠️ Known Limitations ⚠️ Phenomenological γ: γ = 16.339 is derived from ratio Δ*/KS, not analytically proven from first principles. Evidence A⁻. [1] ⚠️ Coulomb Approximation: |ψ(0)|²Coulomb neglects non-perturbative string tension, relativistic corrections O(v²/c² ~ 15%), and diquark finite-size effects. This is the primary motivation for the Lattice request. [1] ⚠️ Cosmological Calibration: w0, ET calibrated to DESI DR2 / Planck 2018, not independently derived. Evidence C. [1] ⚠️ Framework Status: UIDT is an active research programme, not established physics. H0 and S8 tensions are not declared resolved. Transparency has priority over narrative coherence. [1] Releases: 🔄 [v3.9] - Ξcc Isospin Splitting & HAL QCD Collaboration Request Released: March 2026 | DOI 10.5281/zenodo.19157810. [1] 🎯 New Application: Four-term chromomagnetic decomposition of ΔM(Ξcc), 80-digit precision, agreement with LHCb 2026 at < 0.10σ. [1] 📐 Banach Fixpunkt präzisiert: Δ* = 1.71003504674221318202… GeV (240-digit) explizit im Ledger. [1] 🔬 Collaboration Request: Formal technical specification + cover letter for HAL QCD Collaboration (arXiv:2601.10091 method). [2] ⚖️ Falsification Window: |ψcc(0)|²lat ∈ [0.378, 0.566] fm⁻³ defined as upgrade criterion. [1] ✅ All prior ledger constants unchanged. No retrospective adjustments. [1] 🏛️ [v3.9] - Unified Framework Baseline (Canonical) Released: 2025-12-21 | DOI: 10.5281/zenodo.17835200 🧮 Canonical Framework: Full UIDT architecture, mass gap Δ* = 1.710 GeV, cosmological extensions, γ-scaling. [1] 🏛️ [v3.7.1] - Yang–Mills Mass Gap (Constructive Proof) Released: 2025-12-27 | DOI: 10.5281/zenodo.18003018 ⚠️ Interpretation Clarification: Δ* identified as spectral gap of pure Yang–Mills Hamiltonian, not observable particle mass (following Morningstar 2025, arXiv:2502.02547). [E1] ✅ All Banach, OS, BRST, Nielsen and homotopy proofs unchanged. 📚 References Primary Source: [1] Rietz, P. (2026). UIDT v3.9: Lattice-QCD Determination of |ψcc(0)|² for the Ξcc Diquark System — Collaboration Request to HAL QCD. Zenodo. DOI: 10.5281/zenodo.17835200 [2] Kelvin-Lee, K.-W. & Ishii, N. (2026). Diquark mass and quark-diquark potential by lattice QCD using an extended HAL QCD method with a static quark. arXiv:2601.10091 [hep-lat]. arXiv:2601.10091 [3] Watanabe, K. & Ishii, N. (2022). Quark-diquark potential and diquark mass from Lattice QCD using the HAL QCD method. Phys.Rev. D 105, 074510. DOI: 10.1103/PhysRevD.105.074510 [4] Padmanath, M., Edwards, R. G., Mathur, N. & Peardon, M. (2015). Spectroscopy of doubly-charmed baryons from lattice QCD. Phys. Rev. D 91, 094502. arXiv:1412.4782 [5] Yi, J.-Y., Liang, Z.-R., Liu, L. & Yao, D.-L. (2025/2026). Low-energy interactions between doubly charmed baryons and Goldstone bosons from lattice QCD. arXiv:2511.12611 [hep-lat]. arXiv:2511.12611 [E1] Morningstar, C. (2025). Glueball-meson mixing in unquenched lattice QCD. arXiv:2502.02547 [hep-lat]. arXiv:2502.02547 [F1] Rietz, P. (2025). UIDT v3.9: Unified Information-Density Theory Framework (Canonical Release). Zenodo. DOI: 10.5281/zenodo.17835200 📚 Primary Citation: Rietz, Philipp. (2026). UIDT v3.9: Lattice-QCD Determination of |ψcc(0)|² for the Ξcc Diquark System. Zenodo. DOI: 10.5281/zenodo.19157810 📜 License: CC BY 4.0 | 👤 Author: Philipp Rietz (ORCID: 0009-0007-4307-1609) ⚠️ Disclaimer: This work is part of an active independent research programme. Results are presented for independent verification and scientific scrutiny. Cosmological tensions (H0, S8) are not declared solved. Forbidden language per UIDT constitution: ultimate, definitive, solved, holy grail, resolved. [1] UIDT v3.9 is part of the broader Unified Information-Density Theory Framework (v3.9 Canonical, DOI: 10.5281/zenodo.17835200), which includes the Yang–Mills mass gap proof (v3.7.1), cosmological extensions, and the present doubly charmed baryon sector. [1][F1] This release addresses the Ξcc isospin splitting as the first precision test of the UIDT vacuum parameter Δ* against hadron spectroscopy data, and initiates a formal Lattice-QCD collaboration to eliminate the sole uncontrolled approximation in the framework.