TO: Christoph Sorger, Professor of Mathematics, Nantes University, France
FM: Bruce E. Camber
RE: The understanding, definitions, and role of pi within mathematics and physics. We are looking at your homepage(s), yet especially the IMU and IDM. We have also studied your CV, Chow, and your publications.
This page: https://81018.com/sorger/
Second email: 20 March 2026 (updated)
Dear Prof. Dr. Christoph Sorger,
Looking back three years, you were so kind to respond to my note. Thank you. As our world and universe continue to change, the need for more fundamental theories does as well. And we know, the spear of innovation and insight has to come through mathematics before it is shaped by physics.
By the way, I noticed in our morning website reports that our page about your work and that of the IMU had a visitor. I am not surprised given Pi Day and IMD celebrations. I took it as an impetus to update that page: https://81018.com/sorger/ It needed it! If you would like other updates or changes, please do not hesitate. It is easy to accommodate!
In our work, we uncovered a wrinkle in the gap created by five tetrahedrons. The same gap appears with five octahedrons! Although rarely studied, it makes for an interesting expansion of that gap — https://81018.com/15-2/ — which is now being further studied — https://81018.com/2026/03/16/gap-large/ — as part of a more complete definition of the big bang theory. https://81018.com/7-356-gap/ The definition of the first second has been stubborn.
We’re now working with eight of the primary AI platforms and have found a natural concurrence about the foundations of this model — https://81018.com/ross/ We are well into a process of further naming that geometry so we might open discussions within ArXiv.
I have enjoyed getting to know you and the IMU as a result of IMD. Thanks for all that you are doing to educate us about mathematics.
Warmly,
Bruce
First email: 26 March 2023 @ 3:38 PM
Dear Prof. Dr. Christoph Sorger:
I come to you primarily in your role as the IMU Secretary General and the prime mover of the International Day of Mathematics (IDM), once only known as Pi Day. I’m concerned that we are losing some focus on pi (π) as a study unto itself. I would like to propose a virtual study group of the very nature of pi (π) that might provide an annual report to the IMU of progress.
I’ll propose some study questions below. Thank you.
Warm regards,
Bruce
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PS: These are a few questions that group might address:
1. Might pi (circles/spheres) be considered a definition of perfection?
2. Might its infinite series, never-ending numbers, be considered a perfection of continuity?
3. Might its shape be a perfection of symmetry?
4. Might its dynamics be a perfection of harmony (Fourier)?
5. Might sphere dynamics, particularly cubic close packing of equal spheres, begin the definition of tetrahedrons and octahedrons?
6. Might the packing of five tetrahedrons with its 7.356+ degree gap be the beginning of imperfections?
And so on.
PPS. Mar 27, 2023, 10:11 AM: A pro forma response, “The IMU does not engage into individual study groups, so we will not be able to add this to our activities.”