TO: Michael Aizenman, Princeton University, Princeton, NJ (math-ph cond-mat.stat-mech, hep-lat, quant-ph)
FM: Bruce E. Camber
RE: ArXiv (56) especially Geometric perspective on the scaling limits of critical… (PDF), 2021; Geometric analysis of Ising models (2025); your books, even your homepage(s) including your CV, Google Scholar, Math, Physics, inSPIREHEP, Wikipedia, and your YouTube videos.
This page: https://81018.com/aizenman/
Fourth email: 15 April 2026
Dear Prof. Dr. Michael Aizenman:
Is there any merit to my article about our toy model: https://81018.com/81018-model/ entitled, “A Discrete Geometric Toy Model to bridge and scale from Planck Unit to Cosmological Expansion.” I have started a process of synthetic peer review to get my writing more in line with what is expected within the academic community.
Thank you.
Most sincerely,
Bruce E. Camber
Third email: 6 February 2026
Dear Prof. Dr. Michael Aizenman,
Within 1% on a cosmic scale with simple mathematics amounts to compelling evidence that the universe actually is guided by the 202.34 base-2 notations that scale from Planck’s base units to the current time: https://81018.com/cosmology-homology/
It is also mapped out here: https://81018.com/base-2-map/
And here: https://81018.com/notations-0-10/
It is a discrete base-2 scaling from Planck units to the present epoch reproducing the age and horizon size of the universe to within 1%, and with a significant offset—a 1.754-step difference between length and time scaling—which directly encodes the observed dark-energy density through the standard ΛCDM integrals.
Your comments? Thank you very much.
Warmly,
Bruce
Second email: 14 March 2024 Pi Day
RE: Our page about your work needs work! Focus: φ4d field theory within base-2 scaling limits:
Dear Prof. Dr. Michael Aizenman,
Next step is to work you into these pages:
• From the smallest to largest scales in physics: https://81018.com/reformat/
• On identifying keys to our Universe: https://81018.com/tighter/
• The Qualitative: https://81018.com/qualitative/
• Pi Day: https://81018.com/2024-piday/
• Number Theory: https://81018.com/numbers-numbers-numbers/
I wish you well on this special day.
Did you know that Karl Marx died this day? Did you know he wrote a little about math: https://en.wikipedia.org/wiki/Mathematical_manuscripts_of_Karl_Marx All of Marxism is a working theory and incomplete… Democratic capitalism at least knows its incomplete and some are trying to keep working on it.
Again, best wishes,
Bruce
First email: 15 June 2022 at 10:31 AM
Reference: A geometric perspective on the scaling limits… of critical Ising and ϕ4d models (PDF)
Dear Prof. Dr. Michael Aizenman,
In 2011 we unwittingly made up our own scale from the Planck base units to the current time. We first started with simple geometries and did a 3D Zeno walk from our classroom’s tetrahedron to the Planck scale. There are about 45 base-2 notations down to the particle scale and another 67 to our goal.
We also went out by multiplying by 2, this time starting with Planck’s Time and Length to the classroom in those 112 notations, and then we continued another 90 notations to the age and size of the universe. It is a sweet little chart — https://81018.com/chart/ — but does it mean anything? We think it does.
Working with Brown University’s (and NIST) Phil Davis, we assumed the “first iteration of something” was a shell sphere with all its dynamics with attractors, repellers, and the Fourier transform and we assumed that it was also the beginning of scale invariance.
The problem is, this all came out of a high school. What do we know? Very little.
So, we’ve always looked for experts to advise us through their writings and I wanted to thank you and Hugo Duminil-Copin for your work.
Warmly,
Bruce
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Bruce E. Camber
https://81018.com/
https://81018.com/bec/
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PS. In your neighborhood, before they died, we also enjoyed communications with Freeman Dyson and a one-on-one visit with John Conway. He asked me, “Why are you so hung up on the tetrahedron and octahedron?” I answered, “…because they’re both keep teaching me something new!” Also, Princeton alum and professor, Frank Wilczek, was the first to assure us that we could multiply the Planck units by 2. -BEC