Authors: Espen Gaarder Haug
In this short paper we look at some interesting relationships between Zeno's paradox, the Planck length, the speed of light, and the fine structure constant. Did you know it takes 144 Zeno steps to reduce the speed of light to Planck length speed? Did you know it takes 137 Zeno steps to go from alpha*c to Planck length speed? And interestingly it is 7 steps between 144 and 137. We assume this is merely a coincidence, but it is often assumed that there are likely a maximum of 137 elements, the last one being the ``Feynmanium." And there are considered to be 7 orbital shells. We do not claim this explains anything particular in physics, but we also do not exclude the possibility that there could be something meaningful in it. Are these patterns purely numerically coincidences, or could they be a link to deeper understanding of other patterns related to physics, like the periodic table? Whatever the answer may be, it is interesting to look at Zeno's paradox in relation to the Planck length.
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