Irreducible Error Bound ε(Π)
Source: Van Vu, T. & Saito, K. (2026). Geometric complexity in thermodynamics. Classification: THEORETICAL BOUND — applies regardless of implementation.
The Van Vu-Saito theorem proves that for any projection Πfrom a high-dimensional substrate to a lower-dimensional space: exp[C(Π)] × ε(Π) ≥ 1
Perfect enforcement (ε = 0) requires infinite complexity, which is thermodynamically forbidden. The irreducible residual error ε(Π) > 0 always.