it would be instructive to compare them with those due to the graviton mediated dark matter - photon interaction.

Furthermore, the electromagnetic radiation emitted by a collapsing binary system due to the mechanism proposed here ought to be compared with the Hawking radiation.

But the QST induced electromagnetic interactions of dark matter might be detectable in more exotic hypothetic astrophysical objects, like self gravitating Bose-Einstein condensates of dark matter, consisting of neutral scalar particles. The stability of such objects, with a solar mass and a radius of few dozen of kilometers, has been recently investigated, both in the isotropic and rotating cases; the possible formation of vortices has also been considered (cf., e.g., [@MT]).

Smaller object of this nature were excluded in the quoted study by the nonrelativistic approximation used there, but might well be relevant to manifest sizable QST-electromagnetic effects, possibly also in the form of electromagnetic vortex-vortex interactions, which might potentially change the dynamics of these hypothetical objects.

These points will be dealt with in subsequent studies.

[99]{}

D. Bahns, S. Doplicher, G.Morsella, G. Piacitelli, Quantum Spacetime and Algebraic Quantum Field Theory, in *Advances in Algebraic Quantum Field Theory*, R. Brunetti, C. Dappiaggi, K. Fredenhagen, J. Yngvason, Eds., 