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arXiv · 0910.3826

The q-nonadditivity of nonextensive statistics is not a true physical property

Q. A. Wang·C. J. Ou·J. C. Chen
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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.

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Q. A. Wang, C. J. Ou, J. C. Chen. 2009-10-26. The q-nonadditivity of nonextensive statistics is not a true physical property. https://arxiv.org/abs/0910.3826

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