
TO: Tim Noel Palmer, Oxford University, Department of Physics
Clarendon Laboratory on Parks Road, Oxford OX1 3PU
FM: Bruce E. Camber
RE: Your many articles especially Invariant Set Theory, ArXiv (2016); The Invariant Set Hypothesis, Proc.Roy.Soc.Lond.A 465 (2009) 3187-3207 (2008); as well as FQXi 2020: Undecidability, Fractal Geometry and the Unity of Physics (Winners), Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem (April 2020); Human Creativity and Consciousness, (February 2020); How to Make Sense of Quantum Physics, with Sabine Hossenfelder, Nautilus, (March 10, 2020); Bell Inequality Violation with Free Choice and Local Causality on the Invariant Set, (March 2019); as well as your ArXiv (21) articles, especially Bell’s Theorem, Non-Computability and Conformal Cyclic Cosmology (August 2021) (PDF); Rethinking Superdeterminism (December 2019); as well as all your homepage(s), i.e. Oxford Martin Senior Alumni Fellow, Jesus College, FQXi (2-2022 – Video), inSPIREHEP, Royal Society (/doi/full/10.1098/rspa.2019.0350); Twitter, Wikipedia, and YouTube: European Centre for Medium-Range Weather Forecasts (Jan 16, 2018).
See: “Abstract: A finite non-classical framework for qubit physics is described that challenges the conclusion that the Bell Inequality has been shown to have been violated experimentally, even approximately. This framework postulates the primacy of a fractal-like ‘invariant set’ geometry IU in cosmological state space, on which the universe evolves deterministically and causally, and from which space-time and the laws of physics in space-time are emergent.” Experimental Non-Violation of the Bell Inequality, Entropy, MDPI, 10 May 2018
Within this website: https://81018.com/expansion/#Palmer
Fourth email: 24 September 2025
RE: Might your “fractal-like ‘invariant set’ geometry IU in cosmological state space” be simliar to or perhaps equal to our infinite-finite mechanism of the four irrational numbers?
Dear Prof. Dr. Tim Palmer:
From our daily log of visitors to our website, I noticed there were three visitors to our page about your work: https://81018.com/palmer/ I check-update the page when it is that active. In March 2025 we had a breakthrough with the help of AI: https://81018.com/irrationals/ and I thought about your invariant set geometries. Key files followed: https://81018.com/qualitative-expansion/ Up in Durham at your PASCOS conference: https://81018.com/pascos/ Also: https://81018.com/paradigm-shift/ https://81018.com/originals/
I hope you see something within those pages that is valuable. If not, your critical review would be most highly-regarded. Thank you.
Warmly,
Bruce
Third email: 25 April 2024 (updated)
Dear Prof. Dr. Tim Palmer:
It has been a while since my last note to you (13 November 2020). Usually I check that little log (this page) — https://81018.com/palmer/ — before writing.
Your article in Physics Today caught my eye and I began thinking about your work to model the earliest universe. Actually, I think your modeling of the start of the universe is part of the solution to climate change.
I hope people understand what you mean by a “CERN for climate change…”…
In the 70s while a doctoral student, I got to know the head of MIT physics, Viki Weisskopf – https://81018.com/weisskopf/ — and at BU, Lew Kowarski – https://81018.com/kowarski/ as “older friends.” Lew was the prime mover of CERN. They opened the door for my visits with John Bell at CERN.
They both listened to my babble about perfected states in space-time. I didn’t know that base-2 notation from the Planck Units — https://81018.com/chart/ — to the age of the universe had just 202 notations. I didn’t know that the first second is within Notation-143. Academia had not yet studied any exponential notation because big bang cosmology was blocking the view of those first few seconds.
With the JWST results and earlier space telescope results all suggesting a new physics, we should be asking, “What might manifest as the Planck base units?” I had that discussion for three years with Phil Davis of Brown until I finally concurred with him, the sphere.
Within the sphere we get the complexities of continuity, symmetry, and harmony. We get definitions of the infinitesimal and very early universe. Notation-64 contains the yoctosecond, one trillionth or a trillionth of a second. It seems those first 64 notations hold the keys to synchronicity. This is where an infinitesimal world for the finest-tuning opens.
CERN could be retrofit to begin your crusade that is necessary to grasp the essence of global warming.
Can we talk?
Thanks.
Warmly,
Bruce
Second email: Sunday, 13 November 2020 @ 8:18 AM to 12:22 PM
Dear Prof. Dr. Tim Palmer:
I am absorbing your video reflections (FQXi, Feb. 6, 2022). I would like to suggest some consideration of three orientations to invariant sets in cosmological state space:
• Invariant sets. What if the universe is ordered from the very first instance and there is a perfection within this ordering of continuity, symmetry, and harmony. I have been saying in many different ways that those three facets of pi (π) are infinite and qualitative and these orient and give rise to all that is finite and quantitative. It is a bit of a different treatment of the finite-infinite relation.
• Variant sets. The imperfections, that part of the phase portrait of the universe associated with quantum process and fine-scale fractal geometry, is an effect of a deeper geometry. Aristotle possibly set the foundations whereby scholarship has ignored that gap created by the five tetrahedrons sharing a common edge. Until we engage a different orientation to infinity, I think we are a bit stuck intellectually. Somebody’s got to stick their neck out. [Editor’s note: See https://81018.com/geometries/ We’ve added an octahedral gap.]
• 202 Base-2 Notations. In 1957 Kees Boeke started his base-10 notation of the universe. In December 2011 our high school geometry classes unwittingly began our base-2 notation of the universe. Both are simple mathematics and simple logic. There are 61 base-10 notations and 202 base-2 notations. Here the entire universe is encapsulated from the beginning of time to this day. It is very simple, but not always easy to understand. Simple is good. Simple logic is good. It surely seems that these charts are quite a bit more than a STEM tool. I believe these are a special map of the universe. Eventually such a map will include Langlands programs. Then a next generation map might include string and M-theory and SUSY. Eventually, consciousness could even have its place on this grid.
It is a bit of a different perspective. It is out on the edges at the start of our understanding of things, yet it would change some of our conclusions if and only if it is closer to the truth than so many others who would remove the infinite (Tegmark, Nautilus) out of the dialogue or who choose to ignore it.
I send you my best wishes for your work, your health and the families you love,
Bruce
First email: 12 November 2020 @ 8:39 AM
Dear Prof. Dr. Tim Palmer,
Your quote is just under John Wheeler’s about qubits. There are very few who can capture words-and-context so meaningfully to describe a predicament we’ve been in for at least 50 years.
You have an economy of words. That quote above is such a fine statement.
I gave up on it all in 1980. A lousy student, too strident, and too hung up on a physics of “perfected states within space-time (…whereby all the best continuity equations give us order, all the best symmetry functions give us relations, and all the best harmonic functions give us dynamics).”
I had the pleasure of meeting with Bell at CERN in 1977. Viki Weisskopf (MIT) cleared the way. Earlier I had been with Bohm and a few graduate students talking about points-lines-tetrahedrons, but it was not until helping a nephew with his high school geometry classes did we follow the embedded geometries back to Planck base units.
2011 cracked opened a door to look at your “‘…invariant set‘ in cosmological state space…” (again, nicely done)!
Beyond the weather, I will now endeavor to begin to grasp what it is you have grasped to bring you to such poignant conclusions. Thanks.
Warmly,
Bruce
PS. An active page carries those two quotes. It is still rough — https://81018.com/expansion/ The prior homepage — https://81018.com/history/ — and the next homepage — https://81018.com/expansion/ — are related. -BEC
