Add Hardy-Ramanujan taxicab number (1729) birthday encoding analysis — Galois fields, exceptional algebra, fixed point, ANSI escape, Dürer matrix, Alice-Bob EPR gateway, Shannon information theory, Boltzmann connection, Z=∅ channel capacity, web t...

equations/README.md

@@ -9,6 +9,7 @@ All equations from the notebook, organized by category.
 | [`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 |
 | [`quantum.md`](./quantum.md) | Qutrit operators, Weyl pair, Gell-Mann, density matrix | 18, 24 |
+| [`taxicab.md`](./taxicab.md) | Hardy-Ramanujan taxicab number 1729, birthday encoding, power chain | — |
 | [`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 |
 
@@ -20,5 +21,7 @@ All equations from the notebook, organized by category.
 - **1 care wavefunction** (page 22)
 - **Total: ~27 original equations** in a handwritten notebook
 
+The taxicab birthday encoding is documented in [`taxicab.md`](./taxicab.md) as a separate mathematical analysis.
+
 The equations were written before BlackRoad OS existed.  
 They constitute the mathematical foundation of the platform.