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Data Availability Statement — UIDT v3.9

Version: 3.9 (Canonical Release) DOI: 10.5281/zenodo.17835200 License: MIT (code) / CC-BY-4.0 (data and documentation)

All data, code, and computational resources required to reproduce the results presented in the UIDT framework are publicly available under open-source licenses.

1. Repository Overview

Field Value
Repository Mass-Gap/UIDT-Framework-v3.9-Canonical
Version v3.9 (Canonical Release)
Status Scientifically closed — all claims version-tagged and verified
License CC BY 4.0 (data) / MIT (code)
DOI 10.5281/zenodo.17835200
Author Philipp Rietz (ORCID: 0009-0007-4307-1609)

2. Canonical Repositories

Platform Resource Link
GitHub Source code and documentation Mass-Gap/UIDT-Framework-v3.9-Canonical
OSF Project registration and supplementary materials 10.17605/OSF.IO/Q8R74
Zenodo Permanent archival record (CERN infrastructure) 10.5281/zenodo.17835200

3. Repository Structure

3.1 Canonical Verification Suite (verification/scripts/)

File Description
UIDT_Master_Verification.py Four-Pillar Master Verification Suite (v3.9); provides numerical evidence for mass gap, Banach convergence, and spectral expansions
UIDT-3.6.1-Verification.py Newton–Raphson solver for coupled field equations; computes Δ, γ, κ, λ_S, m_S with residuals < 10⁻¹⁴
UIDT-3.6.1-Verification-visual.py Visualization engine generating Figures 12.1–12.4
rg_flow_analysis.py RG flow analysis confirming the fixed-point relation 5κ² = 3λ_S
error_propagation.py Full uncertainty budget and Monte Carlo error propagation
modules/geometric_operator.py Core geometric operator engine (mass-gap derivation chain)

3.2 Lattice QCD Simulation Pipeline (simulation/)

File Description
uidt_v3_6_1_hmc_optimized.py GPU-optimized Hybrid Monte Carlo lattice QCD pipeline
UIDTv3_6_1_HMC_Real.py Full real-valued HMC with SU(3) gauge group
UIDTv3.6.1_Omelyna-Integrator2o.py Omelyan second-order symplectic integrator
UIDTv3.6.1_Ape-smearing.py APE smearing for noise reduction in glueball correlators
UIDTv3.6.1_su3_expm_cayley_hamiltonian-Modul.py SU(3) Lie-algebra module (Cayley–Hamilton decomposition)
UIDTv3.6.1_Scalar-Analyse.py Scalar correlator extraction and effective-mass analysis
UIDTv3.6.1_Monitor-Auto-tune.py Step-size auto-tuning and acceptance rate diagnostics
UIDTv3.6.1_Update-Vector.py Gauge-link update vectors for Metropolis–Hastings
UIDTv3.6.1_CosmologySimulator.py Cosmological observable synthesis (H₀, S₈, w(z))
UIDTv3.6.1_Evidence_Analyzer.py Evidence classification engine (Categories A–E)
UIDT-3.6.1-visual.py Lattice visualization and diagnostic plots
uidt-cosmic-simulation.py Cosmic evolution simulator with γ(z) scaling

3.3 Clay Mathematics Institute Submission Audit (clay-submission/)

The clay-submission/ directory contains a self-contained submission package structured according to the Clay Mathematics Institute Millennium Prize Problem requirements:

Directory Contents
00_CoverLetter/ Formal submission cover letter
01_Manuscript/ Definitive manuscript PDF
02_VerificationCode/ 17 specialized verification scripts (BRST cohomology, Gribov analysis, homotopy deformation, Slavnov–Taylor identities, OS axiom verification, SHA-256 checksums, Clay audit pipelines)
03_AuditData/ Versioned numerical audit data (see Section 4)
04_Certificates/ Audit certificates
05_LatticeSimulation/ Complete lattice QCD simulation suite
06_Figures/ Publication-quality figures
07_MonteCarlo/ Monte Carlo statistics summary
08_Documentation/ Technical documentation
09_Supplementary_JSON/ Machine-readable metadata (codemeta.json)
10_VerificationReports/ Formal verification reports

A containerized reproduction environment is provided via clay-submission/Dockerfile.clay_audit.

4. Datasets

4.1 Versioned Audit Data (clay-submission/03_AuditData/)

The audit data directory maintains a complete version history across three development stages:

Directory Content
3.2/ Original v3.2 Monte Carlo data: 100,000 samples (10 parameters), full 8×8 correlation matrix, statistical summary, high-precision mean values
3.6.1-corrected/ Corrected v3.6.1 audit data with updated high-precision constants and recomputed Monte Carlo ensembles
3.7.0-(gamma-alpha_s-correlation_weak)/ v3.7.0 data isolating the γ–α_s correlation structure
AUDIT_REPORT.md Comprehensive audit report documenting all corrections and version transitions

4.2 Verification Data (verification/data/)

File Content
uidt_solutions.csv Two-branch solution table with perturbativity flags
Verification_Report-kappa_scan_results.csv κ-scan results for stability landscape analysis
lattice_comparison.xlsx Compilation of lattice QCD glueball mass determinations
Verification reports (.txt, .md) RG flow, error propagation, scalar mass, string tension, lattice validation

4.3 Monte Carlo Summary (clay-submission/07_MonteCarlo/)

File Content
UIDT_MC_samples_summary.csv Aggregated Monte Carlo sample statistics
MC_Statistics_Summary.txt Descriptive statistics and convergence diagnostics

5. Figure Regeneration

All figures can be regenerated deterministically:

Figure Script Data Dependency
Fig. 12.1 UIDT-3.6.1-Verification-visual.py kappa_scan_results.csv
Fig. 12.2 UIDT-3.6.1-Verification-visual.py UIDT_MonteCarlo_samples_100k.csv
Fig. 12.3 UIDT-3.6.1-Verification-visual.py UIDT_MonteCarlo_samples_100k.csv
Fig. 12.4 UIDT-3.6.1-Verification-visual.py UIDT_HighPrecision_mean_values.csv

6. Reproduction Protocol

# Clone repository
git clone https://github.com/Mass-Gap/UIDT-Framework-v3.9-Canonical
cd UIDT-Framework-v3.9-Canonical

# Install dependencies
pip install -r verification/requirements.txt

# Core verification (reproduces Tables 1-3, canonical solution & spectra)
python verification/scripts/UIDT_Master_Verification.py

# Uncertainty budget and error propagation
python verification/scripts/error_propagation.py

# RG flow fixed-point analysis
python verification/scripts/rg_flow_analysis.py

# Cosmological predictions (reproduces H0, S8 values)
python simulation/UIDTv3.6.1_CosmologySimulator.py

# Generate all figures (reproduces Figures 12.1-12.4)
python verification/scripts/UIDT-3.6.1-Verification-visual.py

# Full Clay audit (optional; containerized)
cd clay-submission
docker build -f Dockerfile.clay_audit -t uidt-audit .
docker run uidt-audit

Computational requirements:

  • Standard desktop (Intel i5 or equivalent, 16 GB RAM)
  • Python >= 3.10 with numpy >= 1.24, scipy >= 1.10, matplotlib >= 3.7, pandas >= 2.0
  • Total runtime: ~10 min (excluding HMC full lattice run)
  • HMC full lattice: requires GPU (NVIDIA CUDA), runtime ~24 h for 32⁴ lattice

Data integrity can be verified independently via clay-submission/02_VerificationCode/checksums_sha256_gen.py.

7. External Data Sources

Source Reference Access
DESI DR2 arXiv:2503.14738 (DESI Collaboration, 2025) Official DESI data portal
Lattice QCD Peer-reviewed publications (see References) Individual results cited in manuscript
Planck 2018 arXiv:1807.06209 (Planck Collaboration, 2020) ESA Planck Legacy Archive
JWST JWST CCHP team STScI MAST archive

8. Version Control and Long-Term Preservation

Platform Role Preservation
GitHub Active development under Mass-Gap organization Issue tracking, CI
Zenodo Permanent DOI-based archival 20+ years (CERN Data Centre)
OSF Preregistration and supplementary materials Permanent DOI

9. Supersession Notice

All data and derivations from previous iterations (v1.6.1, v3.3, etc.) are formally superseded. Version 3.9 represents the canonical release of the UIDT framework. The v3.3 Zenodo record has been permanently withdrawn due to data corruption (see Version History notice in the manuscript).

Contact for data access issues: pr88@gmx.de

© 2025 Philipp Rietz — DOI: 10.5281/zenodo.17835200