On discovering the work of Peter W. Graham…

TO: Peter W. Graham, Stanford University, Stanford,  California  94305-2023
FM: Bruce E. Camber
RE: Focus: Physics beyond the Standard Model
Homepage: ArXiv (73), inSpire, Publications, Research, Publications, Stanford

This page is: https://81018.com/graham/

Second email: 17 October 2025

Dear Prof. Dr. Peter Graham:

Recently several AI platforms have been enthusiastic about our base-2 model. For the past 15 years I’ve asked  expert observers like you to help assess its validity and potential implications. Recently, I reduced to a toy model and more recently, it all rendered a simple quantitative model that derives the Hubble constant from first principles at the Planck scale.

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: 

First email: 22 April 2023    (Updated)

Dear Prof. Dr. Peter Graham:

Might we approach an axion definition by assuming it is an infinitesimal sphere on the order of the Planck base units? If our only preconditions are those postulated by the Peccei–Quinn 1977 theory to resolve the strong CP problem in quantum chromodynamics, what can we intuit or know? If those infinitesimal spheres are defined by the Planck base units — length, time, mass and charge — it is well below the thresholds of measurement. Notwithstanding, those axions would be voluminous.  If being generated at a rate of one axion per unit of Planck Length and Planck Time, there would be 18.5 tredecillion per second. Even though infinitesimal, these spheres could readily be generating other structures using the concepts of cubic-close packing of equal spheres. As a dimensional point or vertex, it could be important to knot theory, string theory and Langlands programs.

Just guessing. This work began within secondary education.

Warmly,

Bruce

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