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]
\n\ud83d\ude80 UIDT v3.9 | \ud83c\udfdb\ufe0f Doubly Charmed Baryons | \u2696\ufe0f Lattice-QCD Collaboration Request | \ud83d\udcdc CC BY 4.0
\nThe 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, < 0.10σ). [1]
The dominant contribution (89.8%) is the chromomagnetic term, which depends on the cc-diquark Nambu–Bethe–Salpeter (NBS) wave function at the origin: |ψcc(0)|² = 0.4719 fm\u207b³, currently derived from a Coulomb approximation (αs = 0.30, Mc = 1500 MeV). [1] This is the sole uncontrolled element of the calculation. All other terms are either analytically proven (Evidence A) or lattice-compatible (Evidence B). [1]
\nWe request a first-principles Lattice-QCD determination of |ψcc(0)|² using the extended HAL QCD method of Kelvin-Lee & Ishii (arXiv:2601.10091), which would upgrade the central claim from Evidence B to A− and enable a decisive test of the UIDT vacuum parameter Δ* = 1.71003504674221… ± 0.015 GeV. [1][2]
\n\n\u26a0\ufe0f Evidence Classification: Stratum I (LHCb experimental input) + Stratum III (UIDT theoretical mapping). Central claim: Evidence Category B, with explicit upgrade path to A− conditional on Lattice result. UIDT is an active research programme, not established physics. All limitations are stated explicitly in Section 6 of the technical document.
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Full technical document enclosed: UIDT_v39_HAL_QCD_Collaboration_Request_v1.1.pdf.
Addressed to: HAL QCD Collaboration, Prof. N. Ishii & K.-W. Kelvin-Lee, RCNP Osaka University. [1]
The four-term isospin splitting decomposition and the target Lattice observable:
\n1. Four-Term Decomposition:
\n\n\nΔM(Ξcc) = δχem + δχqcd + δχcmag + δχπ
\n
2. Chromomagnetic Term (dominant, 89.8%):
\n\n\nδχcmag = (4αs / 3Mc²) · |ψ(0)|² · \u27e8S\u20d7c·S\u20d7c\u27e9
\n
3. Coulomb NBS Approximation (current, uncontrolled):
\n\n\n|ψ(0)|²Coulomb = (αsMc/2)³ / π = 3,625,748 MeV³ = 0.4719 fm\u207b³
\n
4. Lattice Target Observable (HAL QCD NBS):
\n\n\n|ψcc(0)|²lat ≡ |φcD(r\u20d7=0)|² [Kelvin-Lee & Ishii, arXiv:2601.10091, eq. (2.1)–(2.3)]
\n
5. cc-Diquark Operator (3\u0304c, axial-vector):
\n\n\nDiab(x) = εabc cT,a(x) Cγi cb(x)
\n
mpmath precision, zero float() conversion. (Evidence B) [1]All parameters established by Banach fixed-point iteration and phenomenological calibration at 80-digit precision. Immutable by UIDT constitution, no automatic modification permitted. [1]
\n\n\nYang–Mills Spectral Gap (240-digit Banach fixed-point):
\n
Δ* = 1.71003504674221318202077109661162236329404424229108558123174799966346437639557… ± 0.015 GeV
(Residual < 10\u207b\u2076\u2070 after 15 iterations; Lipschitz constant L = 3.749 × 10\u207b\u2075 < 1) [2]
| Parameter | \nSymbol | \nValue | \nEvidence | \n
|---|---|---|---|
| Yang–Mills Spectral Gap | \nΔ* | \n1.71003504… ± 0.015 GeV | \nCategory A (Banach proven) | \n
| Kinetic Vacuum Parameter | \nγ | \n16.339 | \nCategory A\u207b (phenomenological) | \n
| Asymptotic γ | \nγ∞ | \n16.3437 | \nCategory A\u207b | \n
| VEV | \nv | \n47.7 MeV | \nCategory A | \n
| Dark Energy Parameter | \nw0 | \n−0.99 | \nCategory C (cosmology calibrated) | \n
| Torsion Binding Energy | \nET | \n2.44 MeV | \nCategory C (cosmology calibrated) | \n
| NBS Wave Function | \n|ψcc(0)|² | \n0.4719 fm\u207b³ (Coulomb) | \nCategory B (upgrade target) | \n
The UIDT prediction is directly falsifiable by the proposed Lattice-QCD calculation: [1]
\n| Lattice Result | \nUIDT Status | \nConsequence | \n
|---|---|---|
| |ψ|² ∈ [0.378, 0.566] fm\u207b³ | \n\u2705 Compatible | \nClaim upgraded to Evidence A\u207b | \n
| |ψ|² < 0.378 fm\u207b³ | \n\u26a0\ufe0f [TENSION ALERT] | \nNon-Coulombic cc structure indicated; chromomagnetic term reformulation required | \n
| |ψ|² > 0.566 fm\u207b³ | \n\u26a0\ufe0f [TENSION ALERT] | \nAdditional geometric vacuum contribution to \u011c operator required | \n
| |ψ|² < 0.30 or > 0.70 fm\u207b³ | \n\u274c Falsified | \nCoulomb ansatz rejected; mandatory framework review | \n
pytest verification/tests/ (requires mpmath, pytest; no mocks; 80-digit residual checks; zero float() conversion) [1]mp.dps = 80 declared locally per UIDT Race Condition Lock (no centralized precision control) [1]| Task | \nHAL QCD / Ishii Group | \nUIDT / P. Rietz | \n
|---|---|---|
| Gauge configurations | \n\u2705 (existing CP-PACS/JLQCD) | \n- | \n
| NBS wave function calculation | \n\u2705 | \n- | \n
| |ψcc(0)|²lat extraction & uncertainty | \n\u2705 | \n- | \n
| UIDT parameter input (Δ*, γ, αs) | \n- | \n\u2705 | \n
| 80-digit chromomagnetic recalculation | \n- | \n\u2705 | \n
| Joint publication (PRL / PRD letter) | \n\u2705 shared | \n\u2705 shared | \n
Released: March 2026 | DOI 10.5281/zenodo.19157809. [1]
\nReleased: 2025-12-21 | DOI: 10.5281/zenodo.17835200
\nReleased: 2025-12-27 | DOI: 10.5281/zenodo.18003018
\nPrimary Source:
\n\n\n[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.19157809
\n
[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
\n[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
\n[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:
\n\nRietz, Philipp. (2026). UIDT v3.9: Lattice-QCD Determination of |ψcc(0)|² for the Ξcc Diquark System. Zenodo. DOI: 10.5281/zenodo.19157810
\n
License:
\n\nCC BY 4.0 | \ud83d\udc64 Author: Philipp Rietz (ORCID: 0009-0007-4307-1609)
\n
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.
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", "description": "Official hub for Quantum Gravity, QFT & Cosmology, archiving UIDT research on Vacuum Information Density, Yang\u2011Mills Mass Gap, Quantum Gravity, and Cosmological Tensions via non\u2011perturbative \u03b3\u2011scaling.", "page": "Cosmology and Quantum Field Theory have long stood apart. UIDT offers a bridge by recognizing a profound truth: Information is the fabric of geometry.
\nThis archive curates research on Vacuum Information Density as a fundamental geometric scalar.
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\nThe unification of Quantum Field Theory (QFT) and General Relativity remains the paramount challenge of modern physics. This community serves as the official research archive for the Unified Information\u2011Density Theory (UIDT) and the broader investigation into Information Geometry as a foundational element of spacetime.
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\nenvironment.yml, requirements.txt).Each record includes a conventions box:
\n\ud83d\udd17 All datasets and code are cross\u2011linked to the UIDT monograph for immediate validation.
\nUIDT is a collective odyssey. We welcome theorists, cosmologists, and mathematicians to join in testing, refining, and expanding the framework. Collaboration and open dialogue are at the heart of this archive.
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