Editing Quantum Stabilizer Unit (QSU) (section)

=== Mathematical Proof of Stability ===
The stability of the ZPE field within the QSU can be shown using the '''Lyapunov Stability Criterion'''. Consider the Lyapunov function:

<math>V(\psi) = \frac{1}{2} \langle \psi(t) | \hat{H} | \psi(t) \rangle</math>

The derivative with respect to time is:

<math>\frac{dV}{dt} = \langle \psi(t) | \frac{d\hat{H}}{dt} | \psi(t) \rangle</math>

For stability, <math>\frac{dV}{dt} \leq 0</math> must hold. Since the QSU dynamically adjusts <math>\hat{H}</math> to maintain coherence and resonance, the Lyapunov function remains non-increasing:

<math>\frac{dV}{dt} = 0</math>

This proves that the quantum state remains stable under the influence of the QSU, thus preventing the formation of corrupted states like Argent Energy.