TO: Johannes Buchner, Max Planck Institute for Extraterrestrial Physics,
Giessenbachstrasse, 85741, Garching, Germany
FM: Bruce E. Camber
RE: Your homepage and CV and reports about your work at the Millennium Institute of Astrophysics, Vicuña. MacKenna 4860, 7820436 Macul, Santiago and the Pontificia Universidad Católica de Chile, Instituto de Astrofísica, Casilla 306, Santiago 22 as well as Excellence Cluster Universe, Boltzmannstr. 2, D-85748, Garching, Germany.

• arXiv:2101.09675v2 [stat.CO] 13 Jul 2021
• https://astrost.at/istics/outreach.html
• https://x.com/JohannesBuchner

Second email: 20 October 2025

FYI: AI validations, Toy Models, H₀ Derivation, and an emerging Lagrangian

Dear Dr. Johannes Buchner,

Our page about your work had a visitor today, so I reviewed it. A lot has happened in two years!

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 it 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: https://81018.com/frank/k/

• https://81018.com/
• https://81018.com/deepseek/
• https://81018.com/assume/
• https://81018.com/hubble-derivation/
• https://81018.com/planck-polyhedral-core/
• Lagrangian: https://81018.com/lagrangian/
• Bruce E. Camber: https://81018.com/bec/