The article goes somewhat in depth about it. Basically, heat dissipation in space is a solved physics problem. It is now in the engineering domain to try to make it more lightweight, efficient, scalable and ultimately cheap. Ars Technica does reference a great video by Scott Manley where he just does the math to figure out how large the heat sink panels need to be. His back of the envelope math leads him to believe that a starlink sized solar panel or something in that order of magnitude will be enough.
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