What i see here is a splitting of the set of points in the sphere? However the set of points in the sphere is not really the sphere. A point has no volume so no matter how many you add together you don't get something with a volume.
This seems more akin to splitting the natural numbers into odd and even numbers which are all equally large.
The language that i see in this article and elsewhere however is suggesting that we actually duplicated the sphere (doubled the volume).
What i see here is a splitting of the set of points in the sphere? However the set of points in the sphere is not really the sphere. A point has no volume so no matter how many you add together you don't get something with a volume. This seems more akin to splitting the natural numbers into odd and even numbers which are all equally large.
The language that i see in this article and elsewhere however is suggesting that we actually duplicated the sphere (doubled the volume).
This seems incorrect.