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Why Is the Second a Natural Unit of Time?

Submitted:

09 June 2026

Posted:

11 June 2026

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Abstract
The standard historical account traces the second to astronomical timekeeping, sexagesimal subdivision of the day, and later metrological standardization. This story explains the arithmetic ancestry of the unit, but it does not by itself explain why this particular fine subdivision, rather than other arithmetically natural alternatives, became so useful, stable, and persistent. The thesis put forward here is that the second is not merely a sexagesimal convention; it is, more fundamentally, close to a natural planetary-organism time scale. Specifically, for sufficiently large mobile organisms capable of carrying relatively large brains and acting under habitable planetary gravity, free fall, balance, gait, inverted-pendulum instability, and simple pendular motion are all controlled by a time of order $\sqrt{H/g}$, where H is an organism-scale height and g is the local surface gravity. Since habitable rocky planets and large mobile organisms occupy a restricted macroscopic range, this scale naturally falls near one second. I therefore propose that the historical second was physically selected by its proximity to the planetary-organism time scale. This does not mean that the second was consciously derived from pendulums or biomechanics, nor that the sexagesimal story is wrong. Rather, the sexagesimal story explains how the unit became arithmetically available, while the particular subdivision of an hour into 60 × 60 parts became historically stable because it landed on the organism-gravity time scale. As with the geodetic definition of the meter as one part in 10 million of the distance between the equator and the pole, historical standardization need not explain why the resulting unit lies near a practically natural organism-scale quantity.
Keywords: 
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Subject: 
Physical Sciences  -   Other
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