Yeah, though not for the reason you originally said.
I think I’d like to see someone make a revised proposal that addresses the thermal management problem, which does indeed seem to be a tricky though perhaps not insoluble problem.
Ok, I could be that someone. here goes. You and the paper author suggest a heat engine. That needs a cold side and a hot side. We build a heat engine where the hot side is kept hot by the incoming energy as described in this paper. The cold side is a surface we have in radiative communication with the 3 degrees Kelvin temperature of deep space. In order to keep the cold side from melting, we need to keep it below a few thousand degrees, so we have to make it really large so that it can still radiate the energy.
From here, we can use Stefan–Boltzmann law, to show that we need to build a radiator much bigger than a billion times the surface area of Mercury. It goes as the fourth power of the ratio of temperatures in our heat engine.
The paper’s contribution is the suggestion of a self replicating factory with exponential growth. That is cool. But the problem with all exponentials is that, in real life, they fail to grow indefinitely. Extrapolating an exponential a dozen orders of magnitude, without entertaining such limits, is just silly.
Yeah, though not for the reason you originally said.
I think I’d like to see someone make a revised proposal that addresses the thermal management problem, which does indeed seem to be a tricky though perhaps not insoluble problem.
Ok, I could be that someone. here goes. You and the paper author suggest a heat engine. That needs a cold side and a hot side. We build a heat engine where the hot side is kept hot by the incoming energy as described in this paper. The cold side is a surface we have in radiative communication with the 3 degrees Kelvin temperature of deep space. In order to keep the cold side from melting, we need to keep it below a few thousand degrees, so we have to make it really large so that it can still radiate the energy.
From here, we can use Stefan–Boltzmann law, to show that we need to build a radiator much bigger than a billion times the surface area of Mercury. It goes as the fourth power of the ratio of temperatures in our heat engine.
The paper’s contribution is the suggestion of a self replicating factory with exponential growth. That is cool. But the problem with all exponentials is that, in real life, they fail to grow indefinitely. Extrapolating an exponential a dozen orders of magnitude, without entertaining such limits, is just silly.