Weinan E, Professor, Department of Mathematics,
Program in Applied and Computational Mathematics,
Princeton University, Princeton, NJ 08544-1000 U.S.A.
ArXiv: Deep learning-based numerical methods
Books: Principles of Multiscale Modeling
References within this website:
First email: April 8, 2019
Dear Prof. Dr. Weinan E:
I don’t think we did a very good job teaching geometry. In 2001, after spending a few hours with John Conway there in Fine Hall, he asked me, “Why are you so hung up on the octahedron?” I answered, “Because nobody knows what is perfectly enclosed within it.” I continued, “…we don’t know its most simple interior parts. …we don’t know about its four hexagonal plates. …we fail to recognize its necessary relation with the tetrahedron. Shall I go on?”
Ten years later with a high school geometry class we went deep inside that tetrahedral-octahedral complex. In 45 base-2 notations going within, we were well within particle physics. Within another 67 notations we were within the Planck Scale. We went back out; and from the desktop, it was only 90 additional doublings and we were at the approximate age and size of the universe. We then discovered Kees Boeke’s base-10. It had no inherent geometry. It had no Planck scale doublings. It was an empty shell while we had the dynamics of cubic-close packing.
We later learned that we had the penultimate multiscale model. Could it be classified within your heterogeneous multiscale method (HMM)?
Now, regarding all this data, there are three pages about which I would enjoy your harshest judgments:
https://81018.com/e8/ (Monday, April 8, 2020)
https://81018.com/maybe/ (Wednesday, April 3)
https://81018.com/standard_model/ (Tuesday, April 2)
Can you help? Thank you.