Author: Adam Lee Hatchett — Hampton Roads, VA
Start here (first page):
| Document | What it is |
|---|---|
| ORIGIN_STORY.md | Full lineage: Rat Trap adaptive switching → harmonic principle → triadic law → vorticity → pressure → Pulse Nine |
| PREDICTIONS_AND_TOYS.md | Pitch candidate (~12.95°), lensing/merger η rule, Bullet-class toys (PASS/FAIL results) |
- Pitch: ψ = arctan(3 ln φ / 2π) ≈ 12.95° under φ³-per-turn breathing; 4-arm phase from 12/3 stepping
- Lensing: n = 1 + ε Ψ_coupled (or Φ_eff ∝ Ψ)
- Bullet-class: ρ_eff = ρ_star + η ρ_gas — lens tracks stars when η is not too large
- Toys run: star-anchored PASS · gas-anchored FAIL · 1D η scan breaks near η ~ 2 in that setup
Candidate formulas and toys — not peer-validated cosmology.
A Unified Systems Theory for Multi-Scale Triadic Resonance
Framework Origin: 2024 (Independent Discovery)
Scientific Alignment: February 2026
Repository: https://github.com/Ada40/fractal-harmonic-framework
The Fractal Harmonic Framework is a mathematical model exploring stable, self-organizing systems through nested triadic harmonic ratios across scales. System stability is framed through discrete frequency relationships (f1:f2:f3 = n1:n2:n3), as an alternative language for coupled oscillators in physics and for control/memory structure in AI (Pulse Nine / PCI / ADR line).
Stated by Adam Lee Hatchett (2024) in this framework:
f1 : f2 : f3 = n1 : n2 : n3
Where:
- f: Fundamental frequency or periodic cycle (Hz, s^-1)
- n: Discrete mode index or quantum number (integer)
The MyMirror AI Platform is presented as a commercial implementation direction of this framework (Golden Ratio / Fibonacci lifecycles, triadic memory ideas).
- Temporal Control Plane: Fibonacci-aligned lifecycles (1, 1, 2, 3, 5, 8, 13, 21)
- Triadic Memory Sharding: Hot / Warm / Cold slices
- Self-Similar Audit Trails: Fractal pattern recognition concepts
Evidence Link: MyMirror AI Technical White Paper
Author: Adam L. Hatchett
Abstract: Statistical analysis of 112 multi-planet systems reveals clustering of orbital period ratios around three families: harmonic (1:2:3), Pythagorean (3:4:5), and golden (1:φ:φ²).
| Scale | Physical Domain | Harmonic Ratio | Evidence Source |
|---|---|---|---|
| Quantum | Electron Orbitals | 1:2:3 | Atomic Spectroscopy |
| Neural | EEG Bands (gamma, beta, alpha) | 4:2:1 | Neurophysics (EEG) |
| Orbital | Jupiter's Moons | 4:2:1 | Laplace Resonance (NASA) |
| Orbital | Exoplanet Triads | 1:2:3, 3:4:5, 1:φ:φ² | Hatchett (2026) |
| Terrestrial | Atmospheric Cells | 1:2:3 | Hadley/Ferrel/Polar Cells |
| Oceanic | Major Gyres | 3:4:5 | Pythagorean Spatial Scaling |
- Energy Quantization: E = hf
- Phase Coherence: C = 1 - |delta_phi_12 + delta_phi_23 + delta_phi_31| / (6*pi)
- Dynamic Coupling: dAi/dt = -gamma_i * Ai + sum(alpha_ij * Aj)
Full formulas: fractal_harmonic_formulas.txt
- fractal_brain_model.py
- unified_coupling_function.py
- ardy_quantum_harmonic.py
- triadic_resonance_proof.py
- prediction_testing_suite.py
- Cybersecurity temporal control concepts
- AI control (Pulse Nine / triadic gating / survivor memory)
- Climate / structural resonance ideas
40/60 License Model (see LICENSE files):
- Research/Individual Use: Free with attribution
- Commercial/Enterprise Use: Formal licensing agreement
Attribution: Adam Lee Hatchett, Fractal Harmonic Framework (2024-2026).
Adam Lee Hatchett
Ada40 — Hampton Roads, VA
Stability is harmonic. Reality is triadic.