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Cake day: June 15th, 2023

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  • Edit to add disclaimer: this is shitpost level math here guys, I’m just spitballing.

    It would definitely emit thermal radiation. if it was 99% efficient and the size of pluto’s orbit, around a star like the sun, and the energy was used to create matter, I think it would radiate the remaining energy as 0.009 W/m2 with a peak emission wavelength of 150micrometers. The James Webb telescope has infrared capabilities that max out at 28.5 micrometers so def not detectable.

    But probably a dyson sphere would be smaller than pluto’s orbit, which would greatly increase the apparent power, and shorten the wavelength. idk it’s all imaginary.

    I won’t subject you to my hand writing but I did (power of sun × 0.01)/(surface area of sphere with Pluto’s orbital radius) to get radiation intensity (0.009 W/m2). Then rearranged Stefan-Boltzmann law to solve for temperature (19.8K). Then used Wien’s Displacement Law to calculate the peak wavelength (1.5×10-4 m).

    Maybe I’ll run the numbers again with a martian orbit radius, and 50% efficiency.