Merge remote-tracking branch 'origin/copilot/fix-math-calculation-issues' into claude/translate-issue-comments-PlJqV

equations/blackroad-equations.md

@@ -187,7 +187,7 @@ 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 |

equations/quantum.md

@@ -86,18 +86,11 @@ For a pure state |ψ⟩:
 
 From page 24 (concrete computation):
 ```
-ρ = |ψ⟩⟨ψ| = [ 0.2219  0.3631  0.4061 ]
+ρ = [ 0.2219  0.3631  0.4061 ]
     [ 0.3631  0.5941  0.6644 ]
     [ 0.4061  0.6644  0.7430 ]
 ```
 
-Normalized density matrix ρ̂ = ρ / Tr(ρ) = |ψ̂⟩⟨ψ̂|:
-```
-ρ̂ = [ 0.1424  0.2329  0.2605 ]
-     [ 0.2329  0.3811  0.4262 ]
-     [ 0.2605  0.4262  0.4766 ]
-```
-
 Properties:
 - Symmetric: ρ = ρᵀ (real state)  → SYMMETRIC = UNIVERSAL = OCTONION = 112
 - Rank 1 (pure state): ρ̂² = ρ̂ and Tr(ρ̂) = 1