Scalar curvature of systems with fractal distribution functions
Abstract
Starting with the relative entropy for two close statistical states we define the metric and calculate the scalar curvature R for systems with classical, boson and fermion fractal distribution functions with moment order parameter q. In particular, we find that for q≠ 1 the scalar curvature is closer to zero implying that the fractal bosonic and fermionic systems are more stable than the standard ones.
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