diff --git a/equations/blackroad-equations.md b/equations/blackroad-equations.md
index ae724c5..615fd17 100644
--- a/equations/blackroad-equations.md
+++ b/equations/blackroad-equations.md
@@ -76,7 +76,7 @@ REAL = 37. The advantage = the axiom.
 
 **Equation 12: Modified Landauer Bound (Ternary)**
 ```
-E_min = k_B · T · ln(3)   ≈ 4.5 × 10⁻²¹ J at room temperature
+E_min = k_B · T · ln(3)   ≈ 4.44 × 10⁻²¹ J at room temperature
 ```
 Cost per ternary erasure. LANDAUER = CONCRETE = 93.
 
@@ -185,7 +185,7 @@ From page 21 (§175):
 
 | Parameter | Value | Notes |
 |-----------|-------|-------|
-| k_B T ln(3) | ≈ 4.5 × 10⁻²¹ J | Ternary Landauer cost at room temp |
+| k_B T ln(3) | ≈ 4.44 × 10⁻²¹ J | Ternary Landauer cost at room temp |
 | η_ternary | ≈ 0.366 | Radix efficiency |
 | η_binary | ≈ 0.347 | For comparison |
 | DNA ops/sec | ~10¹⁴ in 100 μL | Chemical reaction rate |
diff --git a/equations/quantum.md b/equations/quantum.md
index 0b58de7..2818101 100644
--- a/equations/quantum.md
+++ b/equations/quantum.md
@@ -75,9 +75,9 @@ For a pure state |ψ⟩:
 
 From page 24 (concrete computation):
 ```
-ρ = [ 0.2219  0.3629  0.4062 ]
-    [ 0.3629  0.5941  0.6639 ]
-    [ 0.4062  0.6639  0.7401 ]
+ρ = [ 0.2219  0.3631  0.4061 ]
+    [ 0.3631  0.5941  0.6644 ]
+    [ 0.4061  0.6644  0.7430 ]
 ```
 
 Properties: