05-15-2019, 10:07 PM
Coming inwards, the blueshifted radiation would arrive from all directions, covering 4 x pi steradians. (Actually, it is less than that, since the black hole itself covers up to half the sky as seen from an object in orbit around it).
A beam coming out of the inverted dyson could be much smaller in subtended angle, so it would be much more powerful (in the dyson rest frame). However this beam would be red-shifted as it left the dyson, so it would end up no more powerful than the light going in at normal wavelengths (i.e. not very powerful at all). To get the most benefit from the blueshifted energy, you have to pay the penalty of being on a fast-track to the future.
A beam coming out of the inverted dyson could be much smaller in subtended angle, so it would be much more powerful (in the dyson rest frame). However this beam would be red-shifted as it left the dyson, so it would end up no more powerful than the light going in at normal wavelengths (i.e. not very powerful at all). To get the most benefit from the blueshifted energy, you have to pay the penalty of being on a fast-track to the future.