Advanced Research in Quantum Gravity, Superconducting Systems, and Computational Physics

The Dawson Institute develops open-source computational frameworks and experimental validation methodologies for transformative physics research, focusing on quantum gravity, high-temperature superconducting systems, and advanced spacetime engineering.

• Coherence-modulated gravitational coupling with experimental validation
• Matter-geometry coupling via non-minimal scalar fields
• Laboratory-scale precision gravimetry with cryogenic torsion balances
• Reproducible computational workflows with pinned environments
• Cosmological-constant-workbench: reproducible framework to evaluate dark energy mechanisms, emergent gravity models, and gravitational-wave standard-siren observables

• REBCO coil optimization for fusion and antimatter confinement
• Multi-tape conductor designs achieving 5-10 Tesla operation
• Computational frameworks integrating electromagnetic, thermal, and mechanical analysis
• Cross-platform FEA validation (COMSOL Multiphysics, FEniCSx)

• Computational optimization frameworks for exotic-matter distributions
• Multi-objective algorithms for metric ansatz parameter optimization
• Energy reduction strategies achieving ~40% efficiency improvements
• Experimental hardware abstraction for mission-critical systems

Coherence-Modulated Gravity: Laboratory Experiment Design & Null Results

Computational and experimental workflows exploring matter-geometry coupling through macroscopic quantum coherence and curvature–electromagnetism couplings. Includes systematic null-result studies and exclusion limits for beyond-GR physics.

Repository Highlights (v1.0.0+):

• Two publication-ready manuscripts: (i) coherence-gravity validation, (ii) null results & exclusion limits
• Enhanced analysis pipeline: CLI sweeps for ξ, materials, curvature–EM limits (B, R, precision)
• Automated reporting: CSV/Markdown/LaTeX table generation via generate_report.py
• Reproducible pipeline: pinned environment (Python 3.13, numpy 1.26, scipy 1.11.3)
• Verification scripts: 41 tests passing in ~94s with SHA256-keyed result caching
• Data integrity: Complete SHA256 manifests for timestamped result artifacts
• Experimental feasibility: Cryogenic torsion balance achieves SNR=5 in 0.7-24 hours

Key Scientific Results:

• Coherence-gravity signals: τ_coh = 1.4 ± 0.2 × 10⁻¹² N·m (convergence at 81³-101³ resolution)
• Null results: Systematic sweeps over ξ ∈ {50,100}, materials, and geometries yield consistent nulls at numerical floor (|Δτ| ≈ 5×10⁻¹³ N·m)
• Curvature–EM exclusion limits: κ_R < 5×10¹⁷ m² for B=10T, R=10⁻²⁶ m⁻², δ=10⁻⁶ (terrestrial lab constraints)
• CLI analysis tools: Sweeps for coupling strengths, materials, magnetic fields, Ricci curvature, and experimental precision
• Energy reduction: 10⁶-10¹⁰× gravitational coupling suppression with coherent systems
• Critical requirement: Cryogenic operation (4K) + 10× seismic isolation essential

Getting Started:

git clone https://github.com/DawsonInstitute/coherence-gravity-coupling.git
cd coherence-gravity-coupling
pip install -r requirements.txt   # Python 3.13 recommended
pytest -q                          # 41 tests, ~94s
python run_analysis.py sweep-curvature --B 0.5 1.0 3.0 10.0 --plot  # Exclusion limits
python generate_report.py --all   # CSV/Markdown/LaTeX tables
cd papers && pdflatex null_results.tex  # Null results manuscript

REBCO HTS Coil Optimization Framework

Comprehensive computational framework for high-temperature superconducting coils using rare-earth barium copper oxide (REBCO). Validated designs for fusion energy and antimatter research applications.

Features:

• Interactive Jupyter notebooks (MyBinder ready) for education and research
• 24 benchmark validations with computational reproducibility
• Multi-backend FEA support: COMSOL Multiphysics and FEniCSx (open-source)
• 100% validation success rate for paper reproduction

Achievements:

• ✅ 7.07T magnetic fields with 0.16% ripple
• ✅ 74.5K thermal margins at 15K operating temperature
• ✅ Mechanical reinforcement reducing stress from 178.7 MPa → 35 MPa
• ✅ 30% current utilization in multi-tape designs
• ✅ Plasma confinement: β = 0.48 stable high-beta operation
• ✅ Interferometric detection: 10⁻¹⁸ m spacetime distortion sensitivity

Getting Started:

git clone https://github.com/DawsonInstitute/hts-coils.git
cd hts-coils
pip install -r requirements.txt
python scripts/validate_reproducibility.py  # Run validation suite

Try Interactive Notebooks:

Multi-Objective Optimization for Exotic Spacetime Metrics

Computational optimization algorithms for warp-bubble metric ansatz and exotic-matter distribution design. Provides JAX-accelerated electromagnetic field calculations and Monte Carlo uncertainty quantification.

Applications:

• Multi-objective optimization for magnetic field uniformity
• Energy reduction algorithms achieving ~40% efficiency improvements
• Validation framework for theoretical warp field research
• Hardware abstraction for mission-critical experimental systems

Integration:

• Used by hts-coils for plasma confinement optimization
• Provides energy minimization algorithms for Lentz soliton research
• Monte Carlo UQ for manufacturing tolerance analysis

Getting Started:

git clone https://github.com/DawsonInstitute/warp-bubble-optimizer.git
cd warp-bubble-optimizer
pip install -r requirements.txt
pytest  # Run test suite

Cosmological-constant-workbench (CCW): testing mechanisms for dark energy and novel observables

A reproducible framework to evaluate proposals for the cosmological constant and dark energy. CCW emphasizes transparency, constraints-first validation, and observational signatures that can distinguish modified-gravity or emergent scenarios from ΛCDM.

Highlights (Jan 2026):

• ✅ Emergent gravity (H.18) — Verlinde-inspired entropic/holographic implementation in src/ccw/mechanisms/emergent_gravity.py. The parameter-free case (α=1) reproduces an effective Λ-like ρ_DE with w≈−1; implemented, tested, and demo'ed.
• ✅ Gravitational wave standard sirens (I.21) — src/ccw/gw_observables.py + gw_likelihood integrated into joint_likelihood to test d_L^GW ≠ d_L^EM via running G_eff(z) models (emergent gravity toy model, scalar-tensor adapters). Includes generate_mock_gw_data and examples/demo_gw_sirens.py showing current and ET-era constraints.
• ✔️ Testing & demos — 25 GW-focused tests added (tests/test_gw_observables.py), full-demo script produces plots and χ² scans; core likelihood functions extended for GW terms.
• ⚠️ Work in progress / blockers — Coupled ODE solver (J.22) is BLOCKED by dimensional scaling/unit normalization; next priorities are J.23 (radiative backreaction checks) and K.25 (LQG polymer corrections).

Getting started:

git clone https://github.com/DawsonInstitute/cosmological-constant-workbench.git
cd cosmological-constant-workbench
pip install -r requirements.txt
pytest -q  # Run test suite (GW tests pass; coupled ODE currently blocked)
python examples/demo_gw_sirens.py  # Demonstration: GW-EM mismatch constraints

Irrotational Shift-Vector Warp Metrics: Validation & Optimization

Computational framework for exploring irrotational (curl-free) shift-vector warp metrics with Rodal-style potentials. Provides 3D volume integration, GPU acceleration, and Bayesian optimization for minimal negative-energy configurations.

Features:

• Full 3D energy integration with tail corrections (convergence to Rodal 2025 results)
• GPU acceleration via CuPy backend (5-10× speedup for high-resolution grids)
• Bayesian optimization achieving 5× efficiency vs grid+Nelder-Mead
• Validated against literature: Rodal (2025), Celmaster & Rubin (2024)
• Paper-ready pipeline: LaTeX manuscript + figure generation via Makefile
• 39 passing tests with CI/CD and comprehensive coverage tooling

Key Results:

• Tail imbalance: 0.034% (n=80) approaching Rodal's ~0.04%
• Energy ratio at R₂: 1.085 converging to Rodal's ~1.07
• Superluminal regime (v ≤ 3): E ∝ v² scaling confirmed
• Optimization: σ=2.0, v=0.8 minimizes |E⁻| in tested parameter space

Getting Started:

git clone https://github.com/DawsonInstitute/irrotational-warp-lab.git
cd irrotational-warp-lab
pip install -e ".[dev]"
make test      # 39 tests
make all       # Regenerate figures + compile paper

Interactive Notebooks (No Installation):

• Launch HTS coils notebooks:

Local Installation (Any Repository):

# Clone desired repository
git clone https://github.com/DawsonInstitute/<repo>.git
cd <repo>

# Install dependencies (conda or pip)
conda env create -f environment.yml && conda activate <env>
# or
pip install -r requirements.txt

# Run validation/tests
pytest -q                                    # For repos with test suites
python scripts/validate_reproducibility.py  # For validation scripts

Example Quickstart Commands:

# coherence-gravity-coupling
git clone https://github.com/DawsonInstitute/coherence-gravity-coupling.git
cd coherence-gravity-coupling
conda env create -f environment.yml && conda activate cohgrav
pytest -q && python generate_figures.py

# hts-coils
git clone https://github.com/DawsonInstitute/hts-coils.git
cd hts-coils
pip install -r requirements.txt
python scripts/validate_reproducibility.py

# warp-bubble-optimizer
git clone https://github.com/DawsonInstitute/warp-bubble-optimizer.git
cd warp-bubble-optimizer
pip install -r requirements.txt && pytest

A coordinated suite implementing closed-form, generating-functional, and recurrence-based representations of SU(2) 3nj recoupling coefficients, with deterministic validation datasets and reproducible analysis pipelines.

• 🔗 su2-3nj-series-paper Unified paper hub integrating the SU(2) 3nj representations, validation tables, and a reproducibility appendix. Contains the cross-repo integration harness and generated reference datasets.

• 🔗 su2-3nj-uniform-closed-form Uniform closed-form hypergeometric representation for 12j (and related) symbols; includes implementations, tests, and documentation.

• 🔗 su2-3nj-generating-functional Universal generating-functional implementations and reference notebooks for deriving determinant-based formulas and extracting coefficients.

• 🔗 su2-3nj-recurrences Finite three-term recurrence engine with stability analysis and reproducible stability reports.

• 🔗 su2-3nj-closedform Closed-form hypergeometric product formula repo with paper sources and reproducible numerical experiments.

• 🔗 su2-node-matrix-elements Node-matrix element implementations (N0–N6 parity), deterministic validation scaffolding, and N6 derivative prototype with stability reports.

Getting started (quick):

# Clone the unified hub and run integration tests
git clone https://github.com/DawsonInstitute/su2-3nj-series-paper.git
cd su2-3nj-series-paper
pip install -r requirements.txt
python scripts/run_integration_tests.py  # runs cross-repo validation harness and emits data/integration_validation_report.json

• Papers: Manuscripts and preprints in papers/ directories
• Notebooks: Interactive Jupyter notebooks with educational content (hts-coils)
• Validation: Comprehensive benchmark validation frameworks
• Reproducibility: Pinned environments, verification scripts, release manifests
• API Documentation: Detailed technical documentation for all modules

We welcome contributions from the research community! Areas of interest:

• Experimental validation of computational models
• Extension to new materials and parameter regimes
• Integration with additional simulation platforms
• Uncertainty quantification and sensitivity analysis
• Hardware design and fabrication workflows

Please read CONTRIBUTING.md in individual repositories for development guidelines.

All software is released under the MIT License unless otherwise specified. Papers and documentation follow standard academic licensing.

For research inquiries, collaborations, or technical questions:

• Issues: Open an issue in the relevant repository
• Discussions: Use GitHub Discussions for general questions
• Email: info@dawsoninstitute.org

January 2026:

• ✅ Implemented emergent gravity mechanism and tests in cosmological-constant-workbench (parameter-free α=1 reproduces Λ-like ρ_DE).
• ✅ Added gravitational wave standard siren observables and likelihoods (src/ccw/gw_observables.py), integrated into joint_likelihood; 25 GW-focused tests passing and demo script examples/demo_gw_sirens.py added.
• ⚠️ Coupled ODE solver (J.22) remains BLOCKED due to unit normalization/scaling issues; next priorities: J.23 backreaction and K.25 LQG polymer.

October 2025:

• ✅ Released coherence-gravity-coupling v1.0.0 with validated experimental design
• ✅ Validated 7.07T HTS coil designs with comprehensive FEA analysis
• ✅ Achieved 40% energy optimization in warp field calculations
• ✅ Published convergence-validated gravitational coupling framework

Advancing transformative physics research through rigorous computational validation and open-source collaboration.