TO: Ruth Charney (also see Bryna Kra)
FM: Bruce E. Camber
RE: Your leadership of the AMS; your homepage(s) at Brandeis, Papers, Wikipedia, and YouTube: From Braid Groups to Artin Groups (2024)
This page: https://81018.com/charney/ List: https://81018.com/mathematicians/ Reference: https://81018.com/study/
Second email: 17 April 2024
Dear Prof. Dr. Ruth Charney:
In the group of Platonic base units, there is a subset with gaps. In 2023 the tetrahedral gap was formally named by Eric Weisstein of MathWorld. He called it the Aristotle Gap based on the work of Lagarais and Zong about how Aristotle wrongly assumed you could fill space with just the tetrahedron. There is also a five octahedral gap. It is very similar to the five-tetrahedral gap. The five-tetrahedral gap also defines the dodecahedral gap (includes Pentakis). As a class we’ve called this group, quantum geometry. In a high school where they had manipulables, it was called squishy geometry. Quite literally the models could be easily squished and manipulated.
We wrote to you about our work back two years ago when we discovered the depth of your work and our most recent work to identify a five octahedral gap (email below). We would dearly enjoy having your advice about these things (gaps and the foundations of our universe). Are you interested? Thank you.
Warmly,
Bruce
PS. We have begun to study your published works and have begun our own overview here: https://81018.com/charney/
First email: 5 July 2022
Dear Prof. Dr. Ruth Charney:
As the Theordore and Evelyn G. Berenson Professor of Mathematics, President of the American Mathematical Society (AMS), and author of “Homological Stability for the General Linear Group of a Principal Ideal Domain” (1977), I am hoping you can inform me.
Many geometers, chemists, and physicists know that five tetrahedrons sharing a common edge create a gap: https://81018.com/gap/ Most do not know that five octahedrons create the same gap; and that stacked, that gap is a beautiful thing to see: https://81018.com/15-2/ *
My initial study of that gap is here: https://81018.com/geometries/
I have unsuccessfully searched for studies that explore the very nature of that gap. Have you studied it? Could it be associated with quantum fluctuations? Might there be a geometry for quantum fluctuations?
Do you have any insights that could help us grasp these realities more profoundly? Thank you.
Most sincerely,
Bruce
*PS. Those are models we created and photographed. The face to face vertical alignment from tetrahedron-to-octahedron-to tetrahedron would necessarily create a horizontal alignment much like that pictured. -BEC
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