Upon learning about the work of Steve Abel

TO: Steve Abel, Dept. of Theoretical Physics, Institute for Particle Physics Phenomenology, (IPPP), Durham University, England UK
Also, PASCOS-30, 2025 Coordinator
FM: Bruce E. Camber
RE: Thinking about more basic ways to engage our theory. Also, from within your work, ArXiv (41), especially Colliders are Testing neither Locality via Bell’s Inequality nor Entanglement versus Non-Entanglement (2025)

This page: https://81018.com/abel/

Email: 13 May 2026 (updated)

RE: You called it numerology at PASCOS — here is what I’ve now done with that
Attachment: Geometric Origin of the Fine-Structure Constant – A Two-Page Summary

Dear Prof. Dr. Steve Abel:

You told me at PASCOS that my abstract was numerology. You were right to say it, and I’ve spent the time since trying to earn a different answer.

I have attached two-page summary. https://81018.com/geometric-origins-137/ is the most recent paper to represent where that work has just now arrived. The short version: two independent scale anchors — the proton charge radius at Notation 65.496 and the classical electron radius at Notation 67.24 — emerge from our base-2 Planck-scale grid, and from the electron radius anchor, 70 doublings reach Notation 137. The mechanism proposed is the Aristotle gap: δ = 2π − 5arccos(1/3) ≈ 7.356°, an irreducible geometric deficit in tetrahedral sphere-packing that is active perhaps at every scale from Notation-4 onward.

The paper is explicit that a rigorous derivation connecting the gap to α⁻¹ has not yet been constructed — that is the central open problem it sets before the community. What it does have are three classes of falsifiable predictions, including specific CMB non-Gaussianity signatures that just might be accessible to CMB-S4.

I would genuinely value your assessment of whether this clears the numerology bar, or where it still falls short. That is not a rhetorical question — your PASCOS comment was the most useful feedback I received, and I’m asking for more of the same.

Thank you.

Sincerely,

Bruce

Email: 11 May 2026  (Updated)

Dear Prof. Dr. Steve Abel:

In June 2025 I quite naively prepared a little abstract for the conference not thinking the academic-scholarly community would consider it numerology. Frank Wilczek had accused Max Planck’s similarly for his Planck units as “…little more than numerology,” but with his three articles, Scaling Mt. Planck I, II, III for Physics Today (2001, 2002), he satisfied his own criticism and began to ground them. I never quite understood Wilczek’s criticism until I began thinking of your statement about my 202 base-2 notations as numerology. It got me thinking about the essence of numbers, geometries and algebraic structures, number theory, logic, irrational numbers, and dimensionless constants.

I also further adopted AI systems and started asking them questions about it.

My first draft, Version 1, got caught up within edits with Perplexity, mostly deleting any over-claims: https://81018.com/81018-model/ I then asked the AI systems to help me make the paper ready for arXiv. I had used arXiv extensively for years for research, but never published. That Version 1 of the article was heavily edited; it was transformed into a piece of work that would only defend the logic of base-2 from the Planck units to the current time. It is not much, but perhaps it is a new starting point. PDF online: https://81018.com/236401-2/

There is also a rough HTML version: https://81018.com/arxiv1v2-toy-model/
There is also a PNG version: https://81018.com/236571-2/

Could you look and tell me if I am still saying anything worth your time to read?

Thank you.

Most sincerely,

Bruce

Email: March 11, 2026

Dear Prof. Dr. Steve Abel:

I maintain a page on my website where I collect notes about scholars whose work has impressed me. There are now several hundred such pages. It helps me keep track of ideas and correspondence, and it reminds me not to be too much of a pest while trying to keep conversations focused.

Many of my previous emails to you were about images I captured at the conference. However, your pre-conference comment about numerology referencing my pre-conference abstract (theoretical summary) has stayed with me. It struck me as a fair caution, and I appreciated the nudge to think more carefully about scientific method and rigor.

In response, I began exploring more formal structures during the conference and afterward. I even experimented with a Lagrangian formulation, but more recently I have been working on operator-based invariance tests (OBIT). The exercise has begun to read less like speculative physics and more like a mathematical methods problem.

The question I have been exploring is whether one can test a framework by asking whether its operator structure is preserved under independent reconstruction. That led me to what I had been calling Structured Synthetic Peer Review: using multiple generative systems to reconstruct a formulation and then checking whether the same (1) recurrence relations, (2) eigenvalues, and (3) structural mappings emerge. I have also been experimenting with the phrase Machine-Intelligence System for the process.

At the moment the question is simply whether the framework forms what might be called a stable operator class under distributed symbolic reconstruction. In some ways this phrasing reminds me of ideas in functional analysis—though I am trying to be careful not to overreach.

If this framing overlaps with something in that area that I should be reading, I would be grateful for a pointer.

Who would have thought that a comment about numerology would send me down these paths? In any case, there is clearly much more to learn.

Onward into the depths of operator theory.

With appreciation,

Bruce

PS. These are the embedded links: