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 = 0.016 = Coupling constant

What Emerges

Force/Phenomenon	Mechanism	Folder
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/

Repository Structure

LFMPublicExperiments/
├── derivations/            # Analytical proofs (Einstein eqs, etc.)
├── gravity/                # Kepler, precession, GW, binary mergers
├── electromagnetism/       # Coulomb, charge dynamics
├── nuclear_physics/        # QGP, confinement, parity
├── quantum_mechanics/      # Particle in box, tunneling
├── classical_mechanics/    # Projectile motion, orbits
├── cosmology/              # Dark energy, horizons
├── LFM_EQUATIONS.md        # Complete equation reference
└── 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 = 5χ₀² + 2χ₀ - 7 = 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 = (χ₀-6)/χ₀ = 0.684 (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

LFMPublicExperiments is licensed under Unlicense OR MIT (your choice).

• Unlicense: public-domain dedication for maximum freedom
• MIT: permissive fallback for jurisdictions/workflows that prefer explicit license grant

See LICENSE for full terms.