# 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) | 16–21 |
| [`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 | 19–21 |
| [`universal.md`](./universal.md) | Euler-Lagrange, principle of stationary action, Three Tests | 23 |

## Quick Count

- **19 numbered BlackRoad equations** (pages 16–21)
- **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.