TO: Bryna R. Kra, Sarah Rebecca Roland Professor, Northwestern University, Evanston, Illinois
FM: Bruce E. Camber
RE: Your homepage(s): Northwestern, Wikipedia, YouTube: “Dynamics of Systems with Low Complexity”. 2024 past president of the American Mathematical Society, Providence, Rhode Island
This page: https://81018.com/kra/
First email: 18 April 2024
Dear Prof. Dr. Bryna Kra:
The longest continuity equation, pi (π), is a dynamic system that generates symmetries and harmonies, circles and spheres. And, if Max Planck’s base units are used and base-2 exponential notation is applied, in 202 notations, you have the age and approximate size of the universe. The first 142 are all subsecond. Notation-64 is a trillionth of a trillionth of a second and then goes to Planck Time.
That has been our challenge.
In 2011 we rather naively followed the tetrahedron deeply inside going smaller and smaller, ostensibly halving the edges, connecting the new vertices, and going inside a smaller octahedron or tetrahedron. In 45 steps, we were at about the size of particles and in another 67 steps we were inside the Planck base units. When we multiplied the edges of our classroom models by 2, in just 90 steps we were at the age and approximate size of the universe.
That is the magic of exponential notation. Yes, there are a total of just 202 notations from Planck Time to the current time. The process, Euler’s base-2 notation applied to the Planck base units, was our first stem tool and simple outline of the universe.
Our first article about the AMS was the Lagarias-Zong work of 2012 and Conant-prize winner of 2015.
Perhaps not so strangely, it is all related to number theory and the foundations of physics.
I want to congratulate you on all your work on dynamic systems and on becoming the President of the AMS. We are in a most dangerous time and the world needs the sanity that a new mathematics and a new science might bring.
Idiosyncratic, of course, but isn’t that needed in these times? Thank you.
Warmly,
Bruce
PS. Born in 1947 in Boston (JP) only 19 years earlier than you. Having grown up in and around the Harvard campus, by 1972 I was studying tetrahedrons and octahedrons in the attic of Sever Hall with Arthur Loeb and his friend, Bucky Fuller. In 1974 at the Divinity School with Arthur McGill, we were engaging Oxford don, Austin Farrer’s Finite and Infinite (Dacre Press, 1943). -BEC