Ellis, George FRS

George F.R. Ellis, FRS

Professor Emeritus, Applied Mathematics
University of Cape Town, South Africa

ArXiv (Summary) ArXiv: 100 Years of General Relativity, 2015
Book (historic):The Large Scale Structure of Space Time (with Stephen Hawking)
Book (current): The Universe Around Us: An Integrative View of Science & Cosmology
Conference: Time in Cosmology    FRS
Google Scholar
YouTube: George Ellis and Ard Louis, Top-Down Causation

Most Recent Email:Saturday, February 2, 2019

Dear Prof. Dr. George Ellis, FRS:

When we followed Zeno’s logic back to the Planck scale, ostensibly going deeper and deeper inside a tetrahedral-octahedral construct, we were challenged, “What if we multiply by 2?” We had 112 notations to the Planck scale and then we went out, larger and larger, and found 90 doublings to the Age of the Universe, the Now.

We asked further, “What is this chart? Is it a valid STEM tool?”

We have not been advised by any scholar to date as

to why this basic logic is off. Might you?
Our chart is here: https://81018.com/chart/
Our most recent overview: https://81018.com/boundary/

I thank you for your extraordinary career and for being a Platonist!

Most sincerely,


Our Fourth Email: Tuesday, April 18, 2017

Dear Prof. Dr. George Ellis, FRS:

Just an update…  we are still at it, working with the numbers generated from applying base-2 notation from the Planck units to the Age of the Universe.  Our latest chart is here: https://81018.,com/chart/  It is horizontally scrolled so we can more easily follow the progression of a particular Planck unit. The natural inflation of the numbers is sometimes counter-intuitive, but we attribute that to our learning curve and naivete.

You have your own page within our new website! I’ll insert a link to it below. Essentially it is to document our letters to you and provide key references to your work for our students and web visitors.

I hope the page meets with your approval.  Thank you.

Most sincerely,


Our third email: 5 October 2016 

Thank you for your work on The Universe Around Us: An Integrative View of Science & Cosmology.

In December 2011 we “fell into” an integrated view of the universe that started with the Planck base units and went to the Age of the Universe in just over 200 base-2 notations.

It appears to be the first time that little continuity equation with all its numbers was actually written out and posted on the web. It certainly is simple. It is mathematically integrated. It appears to be an alternative to the big bang (and the big bang’s nihilism).

It seems that most of the people at the Perimeter Institute conference, Time in Cosmology, accept the place of the big bang.

To help our students and to attempt to context that diverse dialogue, I have created a few links to the conference and to your work. There currently are three key pages. First, there is a brief overview of the conference on our homepage today (fourth section down). It will be there for a few days to come: http://81018.com. Thereafter: https://81018.com/2016/10/02/2october2016/
There is also this page on the conference:

Our general overview page of your work is this page; the URL is:

If there is anything you would like to have added, deleted or changed, please just say the word! Thanks.

Now, thinking about time and the large-scale universe, perhaps another conference could be entertained, Time in the small-scale and human scale universe. In less than a second, the universe within this base-2 model has already expanded well into the large-scale universe. Of the 200 notations, the first second from Planck Time is within notations 143-144. The first day (86400 seconds) is between notations 160 and 161. A light year is between notation 168 and 169. That’s all cosmology.

If we engage the numbers generated using base-2 from the Planck base units, it appears to expand rather quietly right out beyond the need for a big bang.


* * * *
Bruce Camber
http://81018.com   camber (at) 81018.com

PS. Yes, I know how naive and idiosyncratic our work is. The simplicity of the logic and math, however, has caught our attention. The numbers seem to speak louder than words. Although temperature is a problem, I think in time we’ll be able to adjust that line of figures with some kind of “reasonable” rationale, perhaps even a different algorithm. -BEC


Our second email: August 4, 2016 

Dear Prof. George Ellis:

I am working through your 2009 ICG Portsmouth Powerpoint presentation at the Unity of the Universe meeting, “Critical Tests of the Standard Model of Cosmology
.”  Thank you.

Since this report below (January 2016), the following key documents have emerged.

1. A horizontally-scrolled base-2 chart from Planck Scale: http://81018.com
2. Big bang questions for academia: https://81018.com/2016/06/01/quiet/
3. Questions for the public:  https://81018.com/bigbang/
4. Planck Epoch: https://81018.com/Planck/
Also being tweaked:
1.  Unification: https://81018.com/Unification/

4. Human will: https://81018.com/uniqueness/

Your comments are invited on any one posting, yet the small-scale domain from the Planck base units to the particle zoo is of keen interest to me.  Could pure math and geometry beget those numbers? I think so; and if so, we have as new view of reality within which to get to work.

Thank you.

Warm regards,


Our first email:  January 11, 2016

Reference: https://www.quantamagazine.org/20151216-physicists-and-philosophers-debate-the-boundaries-of-science/

Dear Prof. Dr. George Ellis:

In reflecting on reports from your conference in December (2015) at the LMU in Munich, I ask a rather unusual question, “Could a new construct possibly come out of  a high school? Could the naive possibly have the simple mathematics for a model of the universe that includes everything, everywhere and for all times?  Yes, ours is a very simple model in search of a theory.

Our small-but-growing group of high school teachers and students used base-2 exponential notation, the Planck base units, simple geometries, and the simple numbers and concepts to map our universe.  We’ve been at it since December 2011.

At the time we did not know about Kees Boeke and his base-10 scale of the universe. We were studying a tetrahedron with its embedded octahedron.  We were observing the parts-whole relations — the four half-sized tetrahedrons and an octahedron within each tetrahedron  and the six half-sized octahedrons and eight tetrahedrons within each octahedron. We observed the four hexagonal plates within each octahedron and could see many different tessellations of our universe.

Chasing those geometries, going within about 40 times, we were in the range of the fermion. Another 67 times we were in the range of the Planck Length.  To get consistent we then started at the Planck base units and went out to the Age of the Universe in just over 200 notations. It gave us an ordered universe, nevertheless, the authorities responded, “So what?” or “See Boeke’s work” or something like,  “Cute.” The first 67 notations were so impossibly small, our “small-scale universe” was discounted by most “real” scientists and mathematicians.

So to attempt to explain its potential importance as an alternative model, at the end of the year I wrote up a David Letterman-like Top Ten.  Ours is titled, The Top Ten Reasons to give up those little worldviews for a much bigger and more inclusive UniverseView.  That wasn’t enough, so I immediately began prioritizing the numbers that were important to us. Though way-way beyond our pay grade, we are trying to make sense of many new concepts all at the same time.  We ask, “What does Kepler’s conjecture have to do with anything?”  Right now I am in the process of abusing Mitchell Feigenbaum’s constants.

I’ll continue to stutter around, unfortunately skimming and bouncing over details on what skiers call Black Diamond slopes (way beyond my capacities). We’ll continue to take quite a few tumbles and hard falls. It is a heck of a way to attempt to make sense of things that we have never ever observed in the past.  It’s a very steep learning curve!

Your comments would be most welcomed.

Most sincerely,


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.