Implementations & AI Tools
The FairMind DNA framework is not just documentation — it includes executable implementations, API endpoints, cognitive engines, and pre-compiled RAG bundles for AI platforms.
Core Implementations
Source Code
Complete, executable implementations of the SSM and Duat Engine in both JavaScript and Python. MIT licensed. Zero dependencies. Zero empirical inputs.
28-Tool Verification Toolkit
Every mathematical claim individually callable, with structured results and CODATA comparison values. No guessing. No lookup tables. No empirical inputs.
Tool Index (28 tools):
quadrianRatio · goldenRatio · quadrianAngles · speedOfLight · syPi · syPiPosition · fineStructure · feynWolfgangCoupling · feynWolfgangTriangle · bubbleMass · electronMass · protonMass · neutronMass · muonMass · bubbleMassIndex · vacuumConstants · planckConstant · elementMass · quadrianE · quadrianPi · quadrianWedge · stirlingImprovement · gravitationalConstant · allElements · derivationChainAudit · architecture162_163 · axiomSet · codataReference · verifyAll
SSM Equation API
Every SSM equation is implemented as a callable function. These are the core equations that derive 165+ constants from geometry:
Qs(n)
Quadrian Speed — derives speed of light
S(F - 1/(L-n)) - 2n/√5
Fw(n)
Feyn-Wolfgang — fine-structure constant
1/(a(a+1)), a=n+√(√2+...)
Fe(n)
Feyn-Wolfgang simplified
1/((n+k)(n+k+1))
PI(n)
Syπ — π as gradient
3.94e12/((2.217e6·n)+1.254e12)
Mi(n)
Bubble Mass Index
2240/√(√2 + 100/n)
Ma(n)
Atomic Mass from index
n × 1352 × β × γ
El(Z)
Element mass (Z=1-118)
Ma(Z) via mass chain
Qa()
Quadrian Angles
θx = φ(15+√2), θy = 90-θx
Px(n)
Syπ Position (inverse)
Finds n where PI(n)=target
D(n)
Digital Root (mod 9)
9 - (n/9 - ⌊n/9⌋) × 9
RAG Bundles for AI Platforms
Pre-compiled documentation bundles optimized for AI platform upload limits. CORE fits in 10 files (works everywhere). Specialized bundles go deeper on specific domains.
Architecture Overview
┌─────────────────────────────────────────────────────────────────┐
│ LAYER 3 — Language │
│ Natural language input → Mode detection → Protocol selection │
│ │
│ ┌───────────────────────────────────────────────────────────┐ │
│ │ SCAFFOLD ENGINE │ │
│ │ 10 protocols × 8 tag families → structured cognition │ │
│ │ Nested prompts with weighted selection + anti-repetition │ │
│ └───────────────────────────────────────────────────────────┘ │
│ │
│ ┌──────────┐ ┌──────────┐ ┌──────────┐ ┌──────────┐ │
│ │ SSM │ │ Duat │ │ Gate │ │ VDM │ │
│ │ Engine │ │ Engine │ │ System │ │ Calcs │ │
│ │ 165+const│ │ 18 prims │ │ Enforce │ │ SVU/VDM │ │
│ └──────────┘ └──────────┘ └──────────┘ └──────────┘ │
│ │
│ LAYER 2 — Pattern │
│ Unit square → √5/2 → φ → angles → paths → constants → elements │
└─────────────────────────────────────────────────────────────────┘