diff --git a/random/bounded_chaos.md b/random/bounded_chaos.md
index db8fcb2..815f231 100644
--- a/random/bounded_chaos.md
+++ b/random/bounded_chaos.md
@@ -1,5 +1,22 @@
 # **bounded chaos deterministic serendipity**  
 
+# Bounded Chaos v0.0  
+*Five rules, zero ceremony.*
+
+```python
+is_valid(S):
+    S.nodes in {0,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987} &&  # 𝓕-bound
+    S.split in {1024//φ, 64//φ} &&                                   # φ-proportional
+    abs(ΔS)/S ≤ 0.01 &&                                              # ε-stable
+    sha256(S) == S.hash &&                                           # SHA-256-ID
+    ed25519_verify(S.sig, S.hash)                                    # Σ-signed
+```
+
+**φ = 1.618… ε = 0.01 K = 1024 maxT = 11**
+
+A system is valid **iff** it satisfies the five conditions above.
+
+
 // ---------- Q.E.D. ----------
 // Five lines, no extras.
 is_valid(S):