Condensate of μ-Bose gas as a model of dark matter

Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called μ-Bose gas model (μ-BGM) as a model of dark matter, able to treat weak points. Within μ-BGM, the μ-dependence of thermodynamics arises through the respective μ-calculus (it generalizes usual differential calculus) and enters the partition function, total number of particles, internal energy, etc. We study thermodynamic geometry of the μ-BGM and find singular behavior of (scalar) curvature, confirming Bose-like condensation. The critical temperature of condensation Tc(μ) for μ≠0 is higher than the boson Tc. We find other important virtues of μ-thermodynamics versus usual bosons and conclude: the condensate of μ-Bose gas can serve as (an effective) model of galactic-halos dark matter.