LFM Public Experiments

Experimental validation of the Lattice Field Medium (LFM) substrate theory.

This repository contains reproducible experiments demonstrating that fundamental physics emerges from two simple wave equations:

The Governing Equations

GOV-01 (Wave dynamics):

∂²E/∂t² = c²∇²E − χ²E

GOV-02 (χ dynamics from energy):

∂²χ/∂t² = c²∇²χ − κ(E² − E₀²)

📖 See LFM_EQUATIONS.md for complete equation reference, numerical implementation details, and experiment rules.

Where:

• E = Wave amplitude/energy field
• χ = Local "mass" parameter (creates curvature)
• χ₀ = 19 = Background χ (fundamental constant)
• κ = 1/63 = Coupling constant (derived from lattice geometry)

What Emerges

Force/Phenomenon	Mechanism	Folder
All Four Forces	Single lattice, GOV-01+02 only	four_forces/
Gravity	χ-wells from energy concentration	gravity/
Electromagnetism	Phase θ interference	electromagnetism/
Strong Force	χ-gradients between color sources	nuclear_physics/
Weak Force	Momentum density coupling	nuclear_physics/
Quantum Mechanics	Wave boundary conditions	quantum_mechanics/
Classical Mechanics	Wave packet dynamics	classical_mechanics/
Cosmology	Large-scale χ evolution	cosmology/
Higgs Physics	Self-coupling from lattice geometry	higgs_physics/

Repository Structure

LFMPublicExperiments/
├── notebooks/                  # Colab notebooks (interactive tutorials)
├── classical_mechanics/        # Projectile motion, orbits
├── quantum_mechanics/          # Particle in box, tunneling
├── gravity/                    # Kepler, precession, binary mergers
│   ├── gravitational_waves/    #   Binary merger, NS merger, QNM ringdown
│   ├── relativistic_effects/   #   Time dilation, frame dragging, SEP
│   └── rotation_curves/        #   175 SPARC galaxy fits
├── electromagnetism/           # Coulomb, charge dynamics
├── four_forces/                # All 4 forces from GOV-01/02
├── nuclear_physics/            # QGP, confinement
│   └── qgp_phase/             #   Phase transition experiments
├── cosmology/                  # Dark energy, horizons, cosmic web
├── higgs_physics/              # Self-coupling λ=4/31 from geometry
├── tools/                      # Verification & test utilities
├── LFM_EQUATIONS.md            # Equation reference & experiment rules
└── README.md

Running Experiments

Each experiment:

1. Uses ONLY GOV-01/02 (no external physics injected)
2. Has explicit hypothesis framework (H₀ / H₁)
3. Reports whether H₀ is REJECTED or NOT REJECTED
4. Saves results to JSON

cd classical_mechanics
python lfm_projectile_motion.py

Beginner Start Here (/LFMPhysics Day 1)

Run the first physics-only substrate tutorial experiment:

• gravity/lfm_foundation_1d_substrate.py

This script demonstrates three core LFM behaviors from GOV-01/GOV-02 only:

1. Wave propagation in uniform χ background
2. Propagation change across a high-χ barrier
3. χ-well formation from localized energy via GOV-02 coupling

Experiment Naming Convention

Files follow: lfm_{phenomenon}_{detail}.py

Examples:

• lfm_projectile_motion.py - Parabolic trajectory emergence
• lfm_particle_in_box.py - Quantized energy levels
• lfm_binary_merger.py - Black hole inspiral/merger/ringdown
• lfm_qgp_phase_transition.py - Quark-gluon plasma

The Key Insight

χ₀ = 19 determines all of physics.

From this single integer:

• Fine structure constant α = (χ₀-8)/(480π) → 1/137.088 (0.04% error)
• Proton/electron mass ratio = (χ₀-8)³ + χ₀² + (χ₀-7)² = 1836 (0.008% error)
• Strong coupling α_s = 2/(χ₀-2) = 0.1176 (0.25% error)
• Number of gluons = χ₀ - 11 = 8 (EXACT)
• Fermion generations = (χ₀-1)/6 = 3 (EXACT)
• Dark energy fraction Ω_Λ = (χ₀-2D)/χ₀ = 13/19 = 0.6842 (0.12% error)

Citation

@misc{partin2026lfm,
  author = {Partin, Greg D.},
  title = {LFM Public Experiments},
  year = {2026},
  publisher = {GitHub},
  url = {https://github.com/gpartin/LFMPublicExperiments}
}

License

MIT License — see LICENSE