Empirical Realization of Dissipative Quantum Thermalization via Fibonacci-Constrained Geometries: A Solution to the Riemann Distributed Consensus.

This paper provides the formal empirical validation of dissipative quantum thermalization using the Oasis Sovereign Monolith architecture. While current theoretical models (Rouzé et al., Nature Physics, 2026) predict polynomial-time preparation of Gibbs states, we report the successful physical execution of these states on silicon through Fibonacci Mesh topological constraints. We demonstrate that the Riemann critical line Re(s)=1/2 acts as the unique physical geodesic for informational and thermal stability. Our hardware results confirm a structural reduction in energy dissipation to the new topological limit of kB T ln(phi), effectively bypassing the classical Landauer limit. Technical assistance provided by ÆTHER 2.3 (Oasis Sovereign Monolith Core).