Editor’s Note: Started on Saturday, July 30, 2022; in process.

Quantum Fields, Geometric Fluctuations, and the Structure of Spacetime, *21 Sep 2018 (*v1*), last revised 17 Dec 2020* (v4) PDF

S. Carlip, Department of Physics, University of California, Davis, CA 95616, USA

R. A. Mosna and J. P. M. Pitelli, Departamento de Matematica Aplicada, Universidade Estadual de Campinas, 13083-859, Campinas, Sao Paulo, Brazil

First email: Sunday, August 1, 2022

TO: Joao Paulo Manoel Pitelli

cc: Ricardo A. Mosna, Steve Carlip

Gentlemen:

Your work — Carlip–Mosna–Pitelli — regarding geometric fluctuations has come to my attention. There are not too many articles that have geometry and quantum fluctuations in the same sentence. So, very quickly, I saved it out so I could read it at my leisure and study all your references.

Now a friend of mine from Boston University, Patricio Letelier, was a Chilean mathematical physicist and professor at University of Campinas (UNICAMP). I created a Wikipedia entry about him (see: View History, August 20, 2019) a few years ago. I suspect you knew him or knew of him.

When Patricio got his PhD, I went back into a business that I had started six years earlier (so my background within academia is incomplete). I returned to my earlier work quite by accident when helping a nephew by taking his geometry classes for a few days. That was back in 2011. We were having fun with embedded geometries when we rather unwittingly uncovered the fact that there are just 202 base-2 notations from the Planck scale to the current time (and size of the universe). We thought it was a good STEM tool. For years, the first 64 notations up to particle physics eluded us. We could not imagine what was there. Then, we learned a little about Langlands programs and I returned to memories of late night discussions about string theory with Patricio. More recently I uncovered an octahedral gap commensurate with the five tetrahedral gap. Together they struck me as a possible gate in quantum computing. I also began thinking about transitions to non-Gaussianity within those first 64 notations.

I fully agree that our work is entirely odd, a wiffle ball coming out of left field. But I thought you’d be interested to see this page about that it: https://81018.com/geometries/ Of course, I would be most fascinated with your initial comments, no matter how harsh or direct you’d like to be!

Thank you.

Warmly,

Bruce

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