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 T c ( μ ) for μ ≠ 0 is higher than the boson T c . 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.