TO: Frank Vallentin, Mathematisches Institut, Universitat zu Koln, Koln, Germany
FM: Bruce E. Camber
RE: Your homepage; and your publications, especially you article about Mathematical Optimization for Packing Problems (PDF) 2017
This page: https://81018.com/vallentin/
Second email: 7 March 2024
Dear Prof. Dr. Frank Vallentin:
Do you recall an email back in November 2023 related to the 1926 work of Dirk Struik (MIT)? Today, I have returned to your article and to other articles you have written. You are an impressive mathematician.
Seeing your heavy student and postdoc roles, I am hopeful you can take a moment, to answer a question about applied math at the Planck scale. It would necessarily involve some speculation.
Have you ever entertained a guess or guesses about the manifestation of the gaps, starting with the tetrahedral and octahedral gaps? For example, have you or any of your colleagues or students suggested that these gaps may be related to quantum fluctuations?
Thank you.
Warmly,
Bruce
First email: 5 November 2023
RE: Dirk Struik, 1928, De Impletione Loci, 1928. Quick reference: https://81018.com/2022/09/09/struik/
Dear Prof. Dr. Frank Vallentin:
Thank you for bringing to my attention the translation by Marjorie Senechal. She personally sent the rough copy of her translation and gave me permission to post it.
Has anybody else actually posted it online anywhere? That copy I have is a rather rough cut-and-paste: https://81018.com/struik-senechal/
My reference to your work is here: https://81018.com/2022/09/09/struik/ Thank you for that important article. I am still working through it and then, I plan to go back and see what else you’ve written!
Again, my reference to your work is here: https://81018.com/2022/09/09/struik/
Best wishes,