First email: 10 December 2022 at 4:30 PM
RE: A thought experiment driven by curiosity
Dear Prof. Dr. Jaigyoung Choe:
I write to you as president of KIAS and as a scholar who has thought deeply about the tetrahedron (i.e. most recently within The periodic Plateau problem and its application (PDF) April 2021. I apologize that I am not a scholar, just filled with curiosity, and our work came out of a New Orleans high school.
In 2011 we followed Zeno inside the tetrahedron by dividing the edges in half, connecting those new vertices and climbing on down inside. In just 45 steps we were down among the particles, waves and fluctuations. In another 67 steps within, we were at the Planck scale. We turned around, and for consistency used those Planck numbers and multiplied by 2. In 112 steps we were back in our classroom. But, we continued to multiply by 2, and in 90 more steps we were out to edge of the current expansion. That was a total of 202 steps: https://81018.com/chart/
We got into trouble. First, we left our textbook’s path. We couldn’t find any references. There was a fellow, Kees Boeke, who did a base-10 walk in 1957 (also within a high school), but nothing on base-2. Then we began finding all kinds of curiosities. The tetrahedral gap that Aristotle missed was great fun, but then we also found an octahedral gap and there are no references. We’re off in “la-la land.”
As a scholar and KIAS intellectual leader of our time, will you help us write something about our work. We know you can, but may not have time; but we’re hopeful!