Let's start by taking a close look at the right side. The value 9.81 is in m/s². But these are far from the only units of measurement. If you express this value in any other units, the magic immediately disappears. So, this is no coincidence—let's dig deeper into the meters and seconds.
What exactly is a "meter," and how could it be related to π? At first glance, not at all. According to Wikipedia, a "meter is the distance light travels in a vacuum during a time interval of 1/299,792,458 seconds." Great, now we have seconds involved—good! But there's still nothing about π.
Wait a minute, why exactly 1/299,792,458? Why not, for example, 1/300? Where did this number come from in the first place? It seems we need to delve into the history of the unit of length itself to understand this better.
Sunday, August 11, 2024
A wonderful coincidence or an expected connection: why π² ≈ g.
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