TO: Ulrike Tillmann, Cambridge Isaac Newton Institute for Mathematical Sciences (INI), Oxford Mathematical Institute, Oxford and Cambridge, England
FM: Bruce E. Camber
RE: Articles about becoming the INI Director; your arXiv(30) articles especially Point-pushing actions for manifolds with boundary (2020); your homepages at both Oxford and Cambridge Isaac Newton Institute, as well as the Royal Society and Oxford Topology. I also include your videos on YouTube such as your Minicourse Video (at Centro di Ricerca Matematica Ennio De Giorgi, 2015) and The Shape of Data (at the Alan Turing Institute, 2018). Also, your Wikipedia is helpful.
First email: 12 April, 2022 @ 10:53 AM
Dear Prof. Dr. Ulrike Tillmann:
In 1961 when first studying geometry 101 (just 14 years old), I questioned the completeness of the definitions of points and vertices. What ties those endpoints together? Is there anything inside a point and/or a vertex?
In 2011 my nephew asked if I would teach his high school classes about Plato’s solids. I had my own special models. By then, having spent time with folks like David Bohm and John Conway, I was still asking odd questions. In those classes we followed a Zeno-like path deeper and deeper inside the tetrahedron. Net-net, there were 202 base-2 notations from the first moment of time, Planck Time, to this very moment, right Now. The first 64 notations, below the thresholds of measurement (and perhaps below quantum fluctuations), were a mystery. Each notation had length, time, mass and charge. They also had all the mathematics that defined each Planck base unit. And, I believe they have the qualities of an infinitesimal sphere and the Fourier Transform. I concluded that these notations were not very good point particles and they were not even very good vertices… unless, of course, these were all part of a redefinition of points and vertices.
What a strange place to find oneself.
Might you advise me?
Have you ever studied this infinitesimal scale down to the Planck base units?
Thank you.
Warmest regards,
Bruce
Embedded links:
Tetrahedron: http://81018.com/tot/
Notations: https://81018.com/chart/
Fourier: https://81018.com/gravity/
Point particles: https://81018.com/point-particle/
_____
Take a course with an Oxford-Cambridge scholar:
ArXiv Abstract. Homology of mapping class groups…
ArXiv PDF: Homology stability
The video comes from Italy!
2015 Centro di Ricerca Matematica Ennio De Giorgi: Homology of mapping class groups and diffeomorphism groups. It was a minicourse within the session, “Algebraic topology, geometric and combinatorial group theory.”