Oliver Janzer, ETH Zürich Postdoctoral Fellow
Articles: Simple questions, difficult answers (2022)
Homepage(s): Cambridge, ETH Zurich, Google Scholar, Semantic Scholar, Trinity College, Twitter
Most recent email: Monday, November 28, 2022 4:01 PM
Dear Dr. Oliver Janzer:
I can see how scholarly mathematicians solve problems just for that challenge and sheer joy of it and there is no need to reduce it to practice. Yet, it is my belief, perhaps a bit like E.P. Wigner, that it all reflects a real reality.
Is the most simple graph a sphere? Is that sphere necessarily defined by the continuity-symmetry-harmony of pi and its necessary finite-infinite relation, by the de facto dimensionless constants represented by the Planck base units, and by Fourier-Milnor-Poincare-Smale sphere dynamics?
That would be quite some first moment of space-time. Just newbie gobbledegook or is there possibly something here? Thanks for your very precious time.
PS. I’m the one who sent a note to you back in July about the five octahedral gap, the same gap created by five-tetrahedrons, (missed by Aristotle). “What are our basics?” is the abiding question. If a domain for imperfection and fluctuations can be defined, perhaps we can then open a domain of perfection; and however infinitesimal, it changes everything, doesn’t it? -BEC
First email: Tuesday, July 5, 2022 6:57 PM
Dear Dr. Oliver Janzer:
Congratulations on your substantial contributions within ArXiv alone.
I suspect you are among the geometers, chemists, and physicists who know that five tetrahedrons sharing a common edge create a gap: https://81018.com/gap/ It’s documented but not well-known among our scholars. Most all 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 the gap is here: https://81018.com/geometries/
I have unsuccessfully searched for studies that explore the very nature of it. Could it be associated with quantum fluctuations? Might there be a geometry for quantum fluctuations?
Do you have insights that could help our small group grasp these realities more profoundly? Thank you.
*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