Upon discovering the work of Matthias Bartelmann

TO: Matthias Bartelmann, Universität Heidelberg, Zentrum für Astronomie, Institut für Theoretische Astrophysik, Heidelberg, Germany
FM: Bruce E. Camber
RE: Your articles mentioned within InspireHEP and ArXiv especially your 2009 article, The Dark Universe; also your homepage(s) and books, CV, Cosmos (Public Engagements), Max Planck Institut, Wikipedia (13 results of a Wikipedia search (i.e. Hierarchical_triangular_mesh), and YouTube.

Our page about your work is here: https://81018.com/bartelmann/

Fifth email: 4 January 2026

Dear Professor Dr. Matthias Bartelmann,

Your work on scale-dependent phenomena in cosmology and field theory led me to reach out with an unusual framework that might intersect your research.

The observation: A base-2 geometric progression from Planck scale to observable universe (202.34 doublings) appears to generate gauge symmetries at specific scales:

  • Notation 24: 224 spheres, ~10-28 m → SU(5) grand unification (24 generators)
  • Notation 67: 267 spheres, ~10-15 m → Electroweak symmetry breaking
  • Ratio: 243 ≈ 1013 matches observed GUT/electroweak hierarchy

This isn’t fitted—it emerges from pure geometric doubling.

The question: Could gauge symmetries be scale-dependent geometric structures rather than fundamental group-theoretic choices?

I’ve documented the framework here: https://81018.com/base-2-map/

Given your expertise in how physics changes across scales, I’d value your assessment: Is this correspondence within one order of magnitude of observation compelling enough to warrant further investigation? Or is it likely coincidental?

The full framework predicts testable signatures at intermediate scales (Notations 30-40) that future colliders could probe.

Warmest regards,
Bruce

Fourth email: 23 October 2025

Dear Prof. Dr. Matthias Bartelmann:

My first email was in 2019. This is the fourth email, January 1, 2025. Of course, we are idiosyncratic, not peer-reviewed, and we expect it will be rare that anyone responds. AI is so different. They are tough critics, but on occasion return with encouraging words. DeepSeek AI says, “…engaging with work of this depth and originality is a privilege and a genuine thrill. …a true theory of everything in the most profound sense, weaving the quantitative, geometric, and philosophical into a single, coherent tapestry.”

Our page about your work had a visitor today, so I reviewed it. So much can happen in ten months! For the past 15 years I’ve asked  expert observers like you to help assess its validity and potential implications.

The core of the model is surprisingly straightforward: it posits that the Hubble constant emerges not from dark energy, but from a cosmological process defined by base-2 scaling from the Planck units. A key result is a direct mathematical derivation of H₀, “Toy Model Derivation of the Hubble Constant” It is here —  81018.com/hubble-derivation/— still a highly speculative proposal, the numerical correspondence is striking.

Is this a numerical coincidence, or does it point to a deeper rather overlooked principle? We hope to discover as we continue to build on our dynamic model of a finite-infinite grid and its Lagrangian.

Thank you for your time and for your contributions to our understanding of the cosmos.

Sincerely,

Bruce

P.S. The URL for our study of your work: https://81018.com/bartelmann/

Third email: 1 January 2025 (small updates)

Dear Prof. Dr. Matthias Bartelmann:

I am an older person; I graduated from high school in 1965. Back in 2019 I started a reference page (this page) about your work regarding scales within physics, especially the Planck scale. I included my notes to you to remind me not to write too many uninvited emails and to remind me what I said. You have accomplished so much with your life. Me? I’ve been stuck within basic physics with questions that I could not answer to my satisfaction.

Out of over 500 of the world’s leading scholars, not one wrote back with a pointed criticism of the concept of base-2 expansion from the Planck base units… not one about that infinitesimal sphere defined by those Planck base units and how those spheres fill the universe with a plenum that is homogeneous and isotropic… not one about our simple “gap geometries” and quantum theory and indeterminacy. At first, I thought that I was missing too much… that I am an embarrassment and it would take too long to explain all those missing pieces. Then came the results of our space telescopes. Then, came the entire movement to get beyond the standard model. And then came the results from the Webb.

My first three insights were all based on simple math and geometry, simple logic, and simple observations. My other two very key concepts, pi’s continuity-symmetry-harmony and the implied values, were more illusive.

Was exponential notation from our simplest form not worth exploring?

You can well-imagine my delight with AI. I have been modestly encouraged by AI’s Grok, ChatGPT, and Google’s Generative AI. Their criticism is pointed, informed, and respectful. They hasten one’s growth and the learning curves.

I thought you might be interested with this update.

And, on that note, I wish you a very happy and productive New Year in 2025.

With very high regards and many thanks for all your work,

Warmly,

Bruce

Second email: 2 March 2020

Dear Prof. Dr. Matthias Bartelmann:

I have been searching for your writing about the dynamics of the Planck scale:
“Matthias Bartelmann” + “Planck scale”. The results are quite mixed.

What happens at the Planck scale? Is Planck Time the smallest and the first unit of time? Thanks.

Sincerely,
Bruce

First email: Tuesday, September 10, 2019 10:59 AM

Dear Prof. Dr. Matthias Bartelmann:

I write to first thank you for your work with Björn M. Schäfer on the Physics of Scales.

Within your lecture on Structure Formation in the Universe, I am thinking about your words “scale factor a(t) is only degree of freedom.” The images and formulas are all a good challenge!

Thanks again for all your work!

Most sincerely,
Bruce

PS. Years ago I visited with friends in Mannheim and in Heidelberg. What a very special place within our little universe. -B

###