The q-nonadditivity of nonextensive statistics is not a true physical property
arXiv:0910.3826
Abstract
This is a note showing that, contrary to our lasting belief, the nonadditivity X(1+2)=X(1)+X(2)+αX(1)X(2) is not a true physical property. αin this expression cannot be unique for a given system. It unavoidably depends on how one mathematically divides the system and cannot be used to characterize nonadditivity. As a matter of fact, its use is mathematically inconsistent.