Volume of a 3-torus

  • #1
I have recently read that physicists are exploring the possibility that the universe is a 3-torus. I have been trying to find the formula for the volume of a three-torus online but cannot find it. Can anyone tell me the formula?
 

Answers and Replies

  • #2
Orodruin
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This statement refers just to the topology. You cannot fix the volume given topology only. In the case of a flat torus, the volume would just be the product of the circumference in its three directions.
 
  • #3
Thanks for your answer. I was looking for something like the general formula for the volume of an n-ball, which is given here:

https://en.wikipedia.org/wiki/N-sphere

I am not sure whether there would be an analogous formula for the n-torus?
 

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