On studying the work of Steve Carlip, Ricardo Mosna, and João Pitelli

Steven Jonathan Carlip, Department of Physics
University of California
, Davis, CA 95616, USA
Ricardo A. Mosna and João Paulo M. Pitelli, Departamento de Matematica Aplicada
Universidade Estadual de Campinas, 13083-859, Campinas, Sao Paulo, Brazil

ArXiv (78): A Schwarzian on the Stretched Horizon, 2022
Quantum Fields, Geometric Fluctuations, and the Structure of Spacetime, 2018, 2020
Homepage(s): Personal

Our references to your work:

Second email: Friday, March 3, 2023 at 5 PM 

RE: Quantum Fields, Geometric Fluctuations, and the Structure of Spacetime


Have you ever seen a five-octahedral gap? https://81018.com/2022/05/19/five/#Gap. We’ve found no references to it and computer-aided design does not properly compute it. I would enjoy reading an article from you about the relation of these gaps to quantum fluctuations. It seems that scholarship has ignored the natural starting points within pi (π), especially if the cosmological constant is computed based on the Planck base units. Wouldn’t it be around 539 tredecillion infinitesimal spheres per second? It seems we make things too complicated before we start. A deeper study of pi (π) might help lay proper foundations: https://81018.com/pointing/ which today is the homepage: https://81018.com/

I would thoroughly enjoy your reply.

Thank you.

Most sincerely,


PS. My reference page to your work is here: https://81018.com/carlip/
Bruce E. Camber

First email: Sunday, July 31, 2022 at 8:45 AM. (Update: March 3, 2023)

Dear Professors/Doctors Steve Carlip, Ricardo A. Mosna, and João Paulo M. Pitelli:

In ArXiv Steve Carlip,  Ricardo A. Mosna and João Paulo M. Pitelli came to my attention first. In a search today there are not many articles that have geometry and quantum fluctuations in the same sentence. So, very quickly, I saved your article so I could read it at my leisure and study your references, especially given your background in physics and mathematics through Harvard, IAS, and UC-Davis. 

As points of reference, in 1979 I had a project at MIT and got Steven Weinberg and Sheldon Glashow involved. A friend of mine from Boston University, Patricio Letelier, was a Chilean mathematical physicist and professor at University of Campinas (UNICAMP). I suspect your colleagues knew him or of him. I created a Wikipedia entry about him (See: View History, August 20, 2019).

My background within academia is incomplete. I have also become biassed by discovering in 2011 that there are just 202 base-2 notations from the Planck scale to the current time (and size of the universe). Also in 2022, I found a five-octahedral gap that complements the five-tetrahedral gap that Aristotle made infamous. One of the results is a very different take on transitions to non-Gaussianity within the first 64 notations along the way to quantum fluctuations.

I just started a page about this note. It’s still rough but it’s the only way I can keep track of the work of scholars to whom I write. Our work will strike you as rather odd, but you may have some “first-impressions” and advice for us and that is why I write to you.  I’ll be using your work to further develop my thoughts to follow-up this page: https://81018.com/geometries/

Thank you for your time.

Most sincerely,


PS. I think I remember seeing you at a UC-Davis conference that touched on the EPR that I dropped in on back in 2018. Also, looking at Steve Carlip’s ArXiv publications, it is gratifying to see so many articles where he is the single author. Also, I grew up in the shadows of Harvard. When still in high school in 1964, I joined the Harvard SDS. Later, in 1971, I was with Arthur Loeb and his group called the Philomorphs in the attic of Sever Hall. In 1975 I was over at the Harvard Divinity School with Arthur McGill where we engaged Austin Farrer’s Finite and Infinite

I may have crossed paths with Steve Carlip more than once! -BEC