I presume you used "biologically" to emphasise we don't yet know any non-biological consciousnesses, not that you determine, a priori, that the consciousness must be and is always rooted in the wet organic matter?

I don't think you could come up with a good theory for the latter and there's nothing that would preclude the existence of the artificial / inorganic consciousness - after all, correct me if I'm mistaken, we have no idea how the consciousness emerge in some biological entities.