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by s1artibartfast 1942 days ago
I Im not sure that the mirror has to be at the same temperature as a heat source. The area of a dyson sphere at earths orbit would be 2.810^23 m^2 The area of the sun is 610^18 m^2.

This is where my understanding of optics and reflections breaks down. How much heat/kinetic energy is transferred to a mirror when it reflects a photon?

From a heat transfer perspective. the dyson sphere has 100,000X the surface area of the sun to radiate heat and 1/100,000 the photon flux hitting it's surface. Based on this I would expect it to be cooler.