A unified mathematical framework for self-organization in complex systems receives experimental support from two independent physical domains: quantum decoherence and classical Bose-Einstein condensate transitions. The study reports that nonlocal coupling acts as a "critical amplifier," producing maximum effects at phase boundaries where systems are most sensitive.
In the quantum domain, the decoherence rate ratio (R) of GHZ to W states was predicted to fall in [1.3, 1.7], with R ≈ 1.5 at critical coupling-dissipation balance. Testing on 9 platforms showed that 7 aligned with this prediction, including an independent analytical derivation by Brockerhoff (2025) yielding exactly R=1.50.
In the classical domain, stochastic projected Gross-Pitaevskii simulations of a 2D Bose gas verified a bell-shaped enhancement curve for the condensate fraction (fc) peaking at the BKT critical temperature of 25 nK. At this transition, phase coherence improved by 60%, consistent with the framework's prediction that nonlocal coupling enhances order parameter fluctuations.
The authors consider this dual-domain consistency significant because it provides multiple falsifiable predictions ready for independent laboratory testing on quantum processors with TQ fidelity > 99.96% and in 2D BEC experiments near the BKT transition.