But it would be possible to convert the excess heat energy to something like microwaves, right? I mean, if one posits mega-structures (not necessarily a full-on Dyson sphere) as being responsible for the dimming, an objection about excess heat not being detected could be overcome by conjecture that the heat is being converted to other forms of energy.
If the author of the article was willing to mention mega-structures, why wasn't a caveat about converting heat energy included in the article? Should it have been included, or is such speculation totally absurd?
Any form of energy other than 'heat' would have a large free energy. The free energy, also called the Gibbs energy, refers to the usable part of energy. This means the fraction of energy that is not associated with entropy.
Any other form of energy other than heat energy would be inefficient. In order to use the energy from the sun, entropy has to be created. If the energy were transformed into neutrinos, for instance, the neutrinos would carry the free energy away. Most of the suns energy would go into making neutrinos. The neutrinos would have high kinetic energy, but couldn't be reabsorbed by the civilization. So all that energy would be wasted.
There are few molecules in interstellar space, so heat couldn't be emitted as molecular motion. So the energy would have to be emitted as electromagnetic radiation radiation with a black body spectrum and an energy density consistent with the laws of black body radiation. This EM radiation could be heat.
The maximum efficiency would come about if the temperature of the black body radiation matched the background temperature of the universe. So in principle, the blackbody radiation would come of at 2.9 K, the temperature of the microwave background. It would appear as an sudden increase in microwave radiation, not infrared. So maybe we should be looking for hot spots in the cosmic microwave background (CMB).
The efficiency of the process would be slightly better emitting CMB than infrared blackbody (IRB). However the improvement would not be big. The reason is that the density of the IR radiation on the surface of this object would be very high.
The thermodynamic efficiency would not be determined solely the spectral temperature. Yes, the bigger the peak wavelength the more efficient the process. The efficiency would be determined also by the density of radiation. A 'small' Dyson sphere would have a higher density of radiation then a 'large Dyson sphere'. The amount of free energy would increase with energy density regardless of the peak energy.
Maybe the civilization could convert the energy in microwave radiation with a black body spectrum. However, they wouldn't get the maximum efficiency anyway unless they dispersed it over a wide area much greater than the area over which the civilization lives. This would be thermodynamically efficient. However, it would have a great commuter time.
So I think it is fair to consider the possibility that the sudden dimming was accompanied by an emission of microwave radiation rather than IR radiation.
Still, maybe some of the inhomogeneities in the CMB are not caused by quantum fluctuations. Cosmologists usually explain the inhomogeneities in CMB radiation with inflation theory. However, there are a lot of such inhomogeneities. Maybe a small fraction of CMB hot spots are Dyson spheres!
