Numerical Validation of the Thermodynamic Regulators for Quantum Observability Collapse

We present a numerical validation of the three thermodynamic regulators proposed in the framework of the Thermodynamics of Observation. Using simulations of the transverse-field Ising chain, we independently verify the descriptive, executive-dissipative, and temporal collapse regimes. The results confirm the predicted signatures: Landauer divergence under memory saturation, a power-law decay I ∝ C_exec^−1 for dissipative cost, and the Margolus–Levitin barrier t_min > ∆t for temporal infeasibility. This work provides a computational proof-of-concept for the Thermodynamic Inobservability Conjecture.