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Applicability of Maths to the Universe
#72
RE: Applicability of Maths to the Universe
polymath, can you tell me if there is any issue with this answer?

Quote:Why is this number equal to 3.14159....? Why is it not some other (ir)rational number?

Answer is that with the usual Euclidean metric that is the number that one gets, the value of π is dependent on the geometry that is being used, so on a sphere the π used to obtain the area will be different.

Another question to ask is that if S=π(sub1)r^2 is the area of the circle and C=π(sub2)2r is the circumference why π(sub1)=π(sub2)=π ? What geometries or metrics will result in π(sub1)≠π(sub2) ?

From:
https://math.stackexchange.com/questions...to-3-14159


If no issues, then this is generally the answer that satisfies my question. Even if pi was definitely a normal number, I still would've asked this question.
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Messages In This Thread
Applicability of Maths to the Universe - by Grandizer - June 9, 2020 at 3:31 pm
RE: Applicability of Maths to the Universe - by Jehanne - June 10, 2020 at 10:22 pm
RE: Applicability of Maths to the Universe - by Grandizer - June 13, 2020 at 12:29 am
RE: Applicability of Maths to the Universe - by Jehanne - June 13, 2020 at 3:45 pm
RE: Applicability of Maths to the Universe - by Jehanne - June 13, 2020 at 10:13 pm
RE: Applicability of Maths to the Universe - by Belacqua - June 13, 2020 at 10:08 pm
RE: Applicability of Maths to the Universe - by Belacqua - June 13, 2020 at 10:15 pm
RE: Applicability of Maths to the Universe - by Jehanne - June 13, 2020 at 10:24 pm
RE: Applicability of Maths to the Universe - by Grandizer - June 13, 2020 at 10:47 pm
RE: Applicability of Maths to the Universe - by Jehanne - June 14, 2020 at 7:28 am
RE: Applicability of Maths to the Universe - by Jehanne - June 14, 2020 at 11:00 am
RE: Applicability of Maths to the Universe - by Grandizer - June 15, 2020 at 11:15 pm
RE: Applicability of Maths to the Universe - by Rahn127 - June 16, 2020 at 5:20 am
RE: Applicability of Maths to the Universe - by Jehanne - June 16, 2020 at 6:51 am
RE: Applicability of Maths to the Universe - by no one - June 16, 2020 at 5:40 am
RE: Applicability of Maths to the Universe - by Rahn127 - June 16, 2020 at 7:44 am
RE: Applicability of Maths to the Universe - by Grandizer - June 16, 2020 at 11:08 am
RE: Applicability of Maths to the Universe - by Jehanne - June 16, 2020 at 3:08 pm
RE: Applicability of Maths to the Universe - by Jehanne - June 16, 2020 at 12:19 pm
RE: Applicability of Maths to the Universe - by Rahn127 - June 16, 2020 at 2:15 pm
RE: Applicability of Maths to the Universe - by Grandizer - June 17, 2020 at 12:08 pm

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