# Upon discovering the work of Yuri Berest of Cornell

Yuri Berest, Department of Mathematics, College of Arts & Sciences, Cornell University, Ithaca, NY

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`First email: 1 May 20123 at 3:35 PM`

Dear Prof. Dr. Yuri Berest:

Finding you on the list of GAP 2023 speakers, I went to your website to read about your research. Congratulations on being at Cornell. What a wonderful place to think and write. As a child, I remember visiting with my uncle who was getting his PhD in Physics. More recently, I have been helped by the work of Steven Strogatz, part of your math faculty.

I hope you have time for three quick YES/NO questions:

1. Do you know any scholar whether part of the GAP group, IHP or Cornell who is making it their mission to study the geometric gaps starting with the five-tetrahedral gap that Aristotle missed? In 2015 Lagarias and Zong were awarded the AMS Conant prize for their studies of the tetrahedral gap. Unfortunately they focused on packing densities and not on that gap’s effects throughout the scales of physics.
2. There are many who are studying beyond the standard model and many who start at the Planck base unitsDo you know of any scholar who is looking at a base-2 expansion of those Planck units? There are just 202 notations from the smallest possible measurement of space-time to the largest. The infinitesimal notations, 1-64, represent an area for composites that I suspect are already defined by mathematicians within operadic theory and especially within these nine groups.
3. Do you know of any scholar who would not object if we were to say that infinitesimal composites start at or near the Planck base units?

Thank you so much.

Warmly,

Bruce

PS. I realize these are odd questions. We have been plodding along since 2011 when we climbed down inside the tetrahedron and its octahedron, from the desktop to the Planck units in just 112 steps (base-2 notations). When we multiplied the edges by 2, there were just 90 doublings to age and approximate size of the universe. Those 202 base-2 notations, it seems, were a first.

The simple part of it all reminds me of John Archibald Wheeler’s expectations. -BEC

These are references to your work on our website: