... what shape would the corresponding space be?
Would the corresponding space be shaped like a bowl? Why or why not?
Is there an analog from the two dimensional disk to three dimensional space?
Stam Nicolis
It suffices to solve the wave equation with the disk as source. Beyond two spatial dimensions the answer is, obviously, that the radiation can't be isotropic at all, since the disk isn't rotationally symmetric in more than two spatial dimensions.
An anisotropic source can't produce isotropic radiation. So, if the radiation is isotropic, the source can't be a disk in more than two spatial dimensions.
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