New nonextensive quantum entropy and strong evidences for equilibrium of quantum hadronic states

In this Letter by introduction of the nonextensivity conjugated entropy S̄Jθ(p,q) we proved new nonextensive entropic uncertainty relations (NC-EUR) as well as new entropic uncertainty bands (NC-EUB). Moreover, we obtained not only consistent experimental tests of the optimal NC-EUR and NC-EUB, but also strong experimental evidences for the principle of minimum distance in space of quantum states (PMD-SQS).