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# Equations Index
All equations from the notebook, organized by category.
## Files
| File | Contents | Pages |
|------|----------|-------|
| [`blackroad-equations.md`](./blackroad-equations.md) | The 19 BlackRoad equations (ternary physics, thermodynamics, biology) | 1621 |
| [`consciousness.md`](./consciousness.md) | Ψ_care, Φ_universal, CECE update rule | 20, 22 |
| [`machine-learning.md`](./machine-learning.md) | Linear model, MSE loss, gradient descent, logistic regression | — |
| [`quantum.md`](./quantum.md) | Qutrit operators, Weyl pair, Gell-Mann, density matrix | 18, 24 |
| [`thermodynamics.md`](./thermodynamics.md) | Landauer, radix efficiency, substrate efficiency, Gibbs coupling | 1921 |
| [`universal.md`](./universal.md) | Euler-Lagrange, principle of stationary action, Three Tests | 23 |
## Quick Count
- **19 numbered BlackRoad equations** (pages 1621)
- **3 revolutionary consciousness equations** (pages 20, 22)
- **4 universal equations** (page 23+)
- **1 care wavefunction** (page 22)
- **5 machine learning equations** (from issue #40)
- **Total: ~32 equations** across the framework
The equations were written before BlackRoad OS existed.
They constitute the mathematical foundation of the platform.