A wonderful coincidence or an expected connection: why π² ≈ g
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Re: A wonderful coincidence or an expected connection: why π² ≈ g
#2He wouldn't be speaking like this if he was born on Mars.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#3He wouldn't be speaking like this if he was born on Mars.
Sure he would, the meter would just be a different length.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#4He wouldn't be speaking like this if he was born on Mars.
Finally an easy way to identify aliens!
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#5This is interesting, but I have to quibble with this:
> If you express this value in any other units, the magic immediately disappears. So, this is no coincidence
Ordinarily, this would be extremely indicative of a coincidence. If you’re looking for a heuristic for non-coincidences, “sticks around when you change units” is the one you want. This is just an unusual case where that heuristic fails.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#6> was actually proposed back in the 17th century
Pretty sure it was done back in Sumer first.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#7As a physicist, this makes sense. Pi = 3, pi^2 = 10, which is g
Not sure why everyone is surprised.
Ah, and a year is pi*10e9 seconds (IIRC)
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#8Very interesting!
So if I understand correctly: the meter was defined using gravity and π as inputs (distance a pendulum travels in 1 cycle), so of course g and π would be connected.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#9g is related to the radius of the earth; the meter is related to the circumference of the earth; and pi is the relationship between the radius and the circumference.
Re: A wonderful coincidence or an expected connection: why π² ≈ g
#10This is interesting, but I have to quibble with this: > If you express this value in any other units, the magic immediately disappears. So, this is no coincidence Ordinarily, this would be extremely indicative of a coincidence. If you’re looking for a heuristic for non-coincidences, “sticks around when you change units” is the one you want. This is just an unusual case where that heuristic fails.
Actually no, the whole equation boils down to the definition of meter. Or rather, one of the earlier definitions.