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Zero times infinity
If you calculate with zero, you should always be careful. Calculating with infinity is also odd, because
0 × ∞ = ?
The result is not 0. Why is this?
Explanation
Dividing by infinity gives zero as result
,
,
, etc.
It follows that multiplication of zero with infinity also each result is possible, and the answer is not necessarily 0.
This means, that out of nothing (what we call 0) something (let's call that 1) can emerge. A kind of creation. Nature really was like that, during the Big Bang, and the same type of process still takes place. In atomic test-installations, such as at CERN in Geneva, this is accurately investigated. By vacuum fluctuations out of 'nothing' both matter and antimatter arise, but that also disappears together again real soon.