# Category: Education

# On following the work of Chuanming Zong

**Chuanming Zong**, Tianjin Center for Applied Mathematics (TCAM)

Tianjin, China

**Articles**: *Can You Pave the Plane with Identical Tiles? *(PDF), AMS, 2020

• *Mysteries in Packing Regular Tetrahedra* with Jeffrey Lagarias, (**PDF**), AMS, 2012

• “The kissing number, blocking number and covering number of a convex body”, in Goodman, Pach, Pollack (eds.), *Surveys on Discrete and Computational Geometry: Twenty Years Later (AMS-IMS-SIAM Joint Summer Research Conference, June 2006, Snowbird, Utah)*, Contemporary Mathematics, **453**, Providence, RI: American Mathematical Society, pp. 529–548, doi:10.1090/conm/453/08812, 2008

ArXiv (19): On Lattice Coverings by Simplices, 2015 (PDF)

Award: 2015 AMS Levi L. Conant Prize**Books**: Sphere packings, Springer, 1999

• The Cube-A Window to Convex and Discrete Geometry, 2009

Homepage: http://cam.tju.edu.cn/en/faculty/index.php?id=52

Mathematics Genealogy Project

ResearchGate

Twitter

Wikipedia: Keller’s conjecture, H. F. Blichfeldt, Kissing Number

**References within this website to your work**:

January 14, 2021: https://81018.com/precis/#Zong

May 26, 2020: https://81018.com/duped/#R3-2

May 5, 2020: https://81018.com/duped/#Aristotle

_______________ https://81018.com/duped/#1b

April 2020: https://81018.com/fqxi-aristotle/

March 2020: https://81018.com/imperfection/

October 2018: https://81018.com/realization6/

January 2016: https://81018.com/number/#En7

Third email: Wednesday, May 28, 2020

Dear Prof. Dr. Chuanming Zong:

First, let me congratulate you on your new location. Wonderful. It appears that you are still within 100 miles of Beijing. That’s excellent.

I am still quoting you after all these years** (see above).** Because the citations were getting so numerous, I created references page for you and Prof. J. Lagarias. My page for you: https://81018.com/2020/05/27/zong/

In these days and times, my most important conclusion is here about all our work, collectively and individually: https://81018.com/duped/#R3-2 Of course, if you would like anything changed, deleted, or added, I will be glad to accommodate your request. Thank you.

Warm regards,

Bruce

Second email: Wednesday, January 8, 2014

Your paper is sensational.

It is exactly what I needed to be assured that Frank-Kaspers

and many others were not leading us astray.

Your mathematics and analysis are spot on.

Let me share my reasons for my enthusiasm below this note to you. Thanks.

-Bruce

**PS. Your work helps us with #2 and #4 below:**

**1. The universe is mathematically very small.**

Using base-2 exponential notation from the Planck Length

to the Observable Universe, there are somewhere over 202

notations, steps or doublings. NASA’s Joe Kolecki and J.P Luminet

(Paris Observatory) helped us with the calculations. Our work began

in our high school geometry classes with a tetrahedron. We divided

the edges by 2, connected the new vertices and found the octahedron

in the middle and four tetrahedrons in each corner. Dividing the octahedron

we found the eight tetrahedron in each face and the six octahedron, one

in each corner. We kept going inside until we found the Planck Length.

Then it was easy to standardize the measurements by just multiplying

the Planck Length by 2. In 202 notations we go from the smallest

to the largest possible measurements of a length.

**2. The very small scale universe is an amazingly complex place.**

Assuming the Planck Length is a “singularity” of one vertex, we also

noted the expansion of vertices. By the 60th notation, of course, there are

over a quintillion vertices and at 61st notation well over 3 quintillion more

vertices. Yet, it must start most simply and here we believe the work

within cellular automaton and the principles of computational equivalence

could have a great impact. The mathematics of the most simple is being

done. We also believe A.N. Whitehead’s point-free geometries should

have applicability.

3. This little universe is readily tiled by the simplest structures.

The universe can be simply and readily tiled with the four hexagonal plates

within the octahedron and by the tetrahedral-octahedral-tetrahedral chains.

**4. And, the universe is delightfully imperfect.**

In 1959, Frank/Kaspers discerned the 7.38 degree gap with a simple

construction of five tetrahedrons (seven vertices) looking a lot like the Chrysler logo. We have several icosahedron models with its 20 tetrahedrons and call *squishy geometry*. We also call it quantum geometry (in our high school). Perhaps here is the opening to randomness.

**5. The Planck Length as the next big thing.**

Within computational automata we might just find the early rules

that generate the infrastructures for things. The fermion and proton

do not show up until the 66th notation or doubling.

I could go on, but let’s see if these statements are interesting

to you in any sense of the word. -BEC

First email: Fri, Aug 30, 2013, 7:19 PM

Just a terrific job. A wonderful read.

Thank you.

Coming up on two years now, we still do not know what to do with a simple little construct: https://81018.com/2014/05/21/propaedeutics/

That five-tetrahedral construct plays a key role.

Your work gives me a wider and deeper perspective. Thanks.

Warmly,

Bruce

_____

# Barker, William H.

# William H. Barker

Bowdoin College

Brunswick, Maine

*Books: Continuous Symmetry: From Euclid to Klein (AMA, 2007)*

________ Harmonic Analysis on Reductive Groups

###### (NOTE: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Symposium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Second, there was a series of single lectures in which the speakers presented an overview of their latest research.

_____ Lp harmonic analysis on SL(2,R)

Most recent email: Friday, 7 February 2020

Dear Prof. Dr. William H. Barker:

My work in 1972 focused on continuity, symmetry, and harmony. I was attempting to define what I thought would entail “a moment of perfection” within our quantum universe. By 1980, after working with an array of distinguished scholars in Boston, Cambridge (USA), and Paris, I went back to work within a business that I had started in 1971. From a little service bureau, we soon had a software business with well over 100 employees. My first opportunity to attempt to dig back into it all back was in 2011. I was helping a nephew with his high school geometry classes when we went inside the tetrahedron — https://81018.com/tot/ — and then its octahedron, step-by-step, deeper and deeper by dividing all the edges by 2 and connecting those new vertices. Within 45 steps we were within particle physics. In 67 additional steps, we were within the Planck scale. By multiplying those classroom objects by 2, in 90 steps we were out to the approximate age and size of the universe. Instead of base-10 like Kees Boeke (1957), we used base-2, we had an inherent geometry, and we went from the Planck units to the current time.

It was an unusual, albeit, rather idiosyncratic chart of 202 notations: https://81018.com/chart/

*Prima facie, do you see any merit to such a chart? *

I will continue my readings of your work, *Continuous Symmetry: From Euclid to Klein* (AMA, 2007) and Harmonic Analysis on Reductive Groups (Springer, 1991) in hopes that you might have some guiding thoughts for this rather idiosyncratic chart of the universe. Thank you.

Most sincerely,

Bruce

PS. In 1746 our family settled in Bremen, Maine. Bowdoin had always been on my list of schools to consider, but in 1965 the call for voter registration in the South won the day. I always think of you all on my way out of Freeport and as we go through Brunswick. -BEC

First email: August 2, 2016 3:20 PM

Dear Prof. Dr. William H. Barker:

My grandmother lived up the road a ways (Bremen…Damariscotta, then out to 1A and the coast). Often Dad would stop at *Valerie’s* in Ogunquit, my sister’s favorite restaurant; they shared the name. We’d fall quickly back to sleep as children for the final long slog up from Cambridge. For some magic reason, I would awake just as we were passing by Bowdoin. Bathed in the soft summer lights, I would secretly dream, “That’ll be my school.”

1965 came quickly and I marched off to the south to register voters, but Bowdoin always held that special place.

Today, I am delighted to find your book on continuous symmetries and remember my childhood once more. Images imprint the soul and make us who we are.

When and why is there spontaneous symmetry breaking?

Have you given it much thought?

So, I have discovered your work and I am grateful to now be taking a de facto course with you through your writing. And so I say, “Thank you!”

With warm regards,

Most sincerely,

Bruce

________________

How does one find your work: https://en.wikipedia.org/wiki/Continuous_symmetry

In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection symmetry, which is invariant under a kind of flip from one state to another.

Formalization

The notion of continuous symmetry has largely and successfully been formalised in the mathematical notions of topological group, Lie group and group action. For most practical purposes continuous symmetry is modeled by a group action of a topological group.

One-parameter subgroups

The simplest motions follow a one-parameter subgroup of a Lie group, such as the Euclidean group of three-dimensional space. For example translation parallel to the x-axis by u units, as u varies, is a one-parameter group of motions. Rotation around the z-axis is also a one-parameter group.

Noether’s theorem

Continuous symmetry has a basic role in Noether’s theorem in theoretical physics, in the derivation of conservation laws from symmetry principles, specifically for continuous symmetries. The search for continuous symmetries only intensified with the further developments of quantum field theory.

See also:

- Goldstone’s theorem
- Infinitesimal transformation
- Noether’s theorem
- Sophus Lie
- Motion (geometry)
- Circular symmetry

References: William H. Barker, Roger Howe, *Continuous Symmetry: from Euclid to Klein (2007)*

# Communications between January and February 2020

- Edward
**Anderson**, formerly of DAMPT of Cambridge and OTC, Paris - Anousheh
**Ansari**, CEO, Prodea Systems and sponsor of the Ansari X Prize - Nima
**Arkani-Hamed**, theoretical physicists, Institute for Advanced Studies, Pricneton - Peter
**Diamandis**, founder/chairman, X Prize Foundation and Singularity University - Gil
**Elbaz**, founder and CEO, Factual, American entrepreneur, investor, and philanthropist - Brian
**Greene**, professor, Columbia University; co-founder, World Science Festival - Justin
**Khoury**, Professor of Physics, University of Pennsylvania - George
**Musser**, contributing editor for*Scientific American*magazine - Thanu
**Padmanabhan**, theoretical physicist and cosmologist - Tony
**Rothman**, American theoretical physicist, academic and writer

*Particularly looking at the first principles and assumptions *

*of those involved with th*e FQXi, *Skeptical Inquiry*, and the ΧPRIZE.

# Starkloff, Christina

# Kristina Starklofft

Archives of the Max Planck Society

Archiv der Max-Planck-Gesellschaft

Boltzmannstr. 14

14195 Berlin, Germany

Courses & Lectures

**Homepage**

**Royal Society**, *Senior Fellow in Residence, The Kavli Royal Society International Centre*

**Wikipedia**

**YouTube**: Dec 18, 2017

Within this website: https://81018.com/2020/01/21/communications/

First email: 21 January 2020

Dear Dr. Kristina Starklofft:

Congratulations on all that you doing to preserve the best among our scholars.

I have a deep and abiding affection for Max Planck and his base units.

Is it your office where the Vetter printing of Max Planck hangs today? Does your museum/library gift shop sell a replica?

So entirely delightful. That it was painted in my birth year, 1947, is sweet. That it is an artistic image, probably the last prior to his death, gives it even more vibrancy.

How very special.

May I use it with our website?

I might include it within any one of the following pages:

http://81018.com

https://81018.com/max-planck/

https://81018.com/quantum/

https://81018.com/realization3/

USW.

Thank you so very much.

Most sincerely,

Bruce

Max Planck, 1947, by Ewald Vetter, painter, Max-Planck Gesellschaft

https://www.archiv-berlin.mpg.de/58143/gemaelde_ewald_vetter

PS. With every use, the picture would have the two line description

and the picture itself link to your website. -BEC

# Following the work of Elizabeth Rauscher…

**Elizabeth A. Rauscher**, Professor, PhD, President, **Born**: March 18, 1937; died, July 3rd, 2019

Tecnic Research Laboratory, 3500 S. Tomahawk Rd., Bldg #188,

Apache Junction, AZ 85219 (due east of Phoenix) 480-982-2285

**Articles/Books****CV****Homepage**: http://elizabethrauscher.org/**Researchgate****Wikipedia****YouTube** (many)

Most recent email: Thursday, April 29, 2019

Dear Elizabeth:

Though Freeman Dyson and I go back to work in 1979, I remember writing to you in and around 1970! I am getting too forgetful and these postings are a way for me to check on my most recent communications with a person. If you would like anything changed, updated or deleted on this page, just let me know and I will be as expeditious as possible. Thanks.

Bruce

Third email: Thursday, June 28, 2018, 9:21 PM

Hi Elizabeth –

You might find today’s homepage to be of some interest:

https://81018.com

In a few weeks it will be easily accessed at this URL:

https://81018.com/emergence

We are in South San Francisco and Sacramento for the next two months!

Might you be coming into the area?

Most sincerely,

Bruce

Second email: Monday, April 30, 2018, 3:46 PM

Hi Elizabeth –

I just updated the Wikipedia reference under “Personal Website” from

https://elizabethrauscher.net to https://elizabethrauscher.org

It’s now going to the correct page!

I just came upon the work of Nassim Haramein where I learned about his*Unified Field And Sacred Geometry* that you were attempting to write

a scaling law essentially to encapsulate the universe. How is that going?

Might the 202 doublings of the Planck base units to the Age of the Universe

and the size of the universe be a simple solution? Perhaps too simple, at least

it is a start: https://81018.com/chart

Thanks.

-Bruce

First email: Sunday, July 17, 2016, 9:05 AM

Dear Elizabeth:

We corresponded back in the ’70s. Noyes, Bastin, Bohm were all mutual friends. My interim story is too arduous, perhaps for another time. You have been prodigious. What a vitae!

In 2011 in a high school I had the five geometry classes go inside the tetrahedron and octahedron. Dividing by 2, this perfect, interior tessellation brought them face-to-face with the proton in just 40 steps, and then face-to-face with the Planck base units in another 67 steps. A sweet journey it was. In our next time together, we multiplied by 2 and in about 90 steps we were out to the edge of the universe, well beyond Kees Boeke.* 3.33 times more granular with imputed geometries and the Planck base units, what was not to love about it?

The project got away from us and has it own life:

/https://81018.com/chart

That link goes to a rather large, horizontally-scrolled file.

Is it all wet? …too idiosyncratic? …too simple?

I thought you would find it of some interest, if just as a novelty. A penny for your thoughts? Thanks.

Most sincerely,

Bruce

*****************

Bruce Camber

New Orleans

http://81018.com

*Of course, Kees Boeke’s base-10 is great fun, but it doesn’t mimic

cellular reproduction and bifurcation theory, nor does it engage

cellular automaton, or the automorphic forms of the Langlands

programs.

# Engquist, Björn

# Björn Engquist

The University of Texas at Austin

201 E. 24th Street, 1 University Station, Austin, Texas 78712-1229

ArXiv: *Numerical methods for multiscale inverse problems* (January 2014)

CV

Homepage

Twitter

Wikipedia

YouTube: *Basis in Information Theory*

References within this website:

https://81018.com/e8/#Björn

This page is https://81018.com/2019/04/18/engquist/

First email: 18 April 2019

Dear Prof. Dr. Björn Engquist:

Not being a scholar or expert, I am still fascinated with your work to define the development of absorbing boundary conditions.

We began our work in a high school geometry class where we were observing how an octahedron is in the center of a tetrahedron with half-sized tetrahedrons in each corner. Within the octahedron, there is a half-sized octahedron in each of the six corners and a tetrahedron in each of the eight faces all sharing the centerpoint.

We decided to do a Zeno-like progression and applied base-2 going back deeper and deeper inside. In 45 steps we were in the range of particle physics, and in another 67 steps we were in the range of Planck’s base units.

We then decided to multiply by 2 and in 90 steps we were in the range of the age and size of the universe.

For high school people, it was great fun. We encapsulated the universe in 202 steps. We only then found Kees Boeke’s work and began thinking of the differences between base-10 and base-2.

I suspect that you are one of the few people on earth who has thought very deeply about computational multi-scale methods. Might you advise us? Are we being illogical? Are we doing something wrong? Thank you.

Most sincerely,

Bruce

**Links above**:

https://81018.com/chart/

https://81018.com/home/

https://81018.com/tot/

https://81018.com

**Current research**:

https://www.encyclopediaofmath.org/index.php/Absorbing_boundary_conditions

# Upon learning about the work of Weinan E…

**Weinan E**, Professor, Department of Mathematics,

Program in Applied and Computational Mathematics,

Princeton University, Princeton, NJ 08544-1000 U.S.A.

ArXiv: *Deep learning-based numerical methods*Books:

*Principles of Multiscale Modeling*

CV (PDF)

Homepage

Wikipedia

YouTube

**References within this website:**https://81018.com/e8/#Weinan

First email: April 8, 2019

Dear Prof. Dr. Weinan E:

I don’t think we did a very good job teaching geometry. In 2001, after spending a few hours with John Conway there in Fine Hall, he asked me, “Why are you so hung up on the octahedron?” I answered, “Because nobody knows what is perfectly enclosed within it.” I continued, “…we don’t know its most simple interior parts. …we don’t know about its four hexagonal plates. …we fail to recognize its necessary relation with the tetrahedron. Shall I go on?”

Ten years later with a high school geometry class we went deep inside that tetrahedral-octahedral complex. In 45 base-2 notations going within, we were well within particle physics. Within another 67 notations we were within the Planck Scale. We went back out; and from the desktop, it was only 90 additional doublings and we were at the approximate age and size of the universe. We then discovered Kees Boeke’s base-10. It had no inherent geometry. It had no Planck scale doublings. It was an empty shell while we had the dynamics of cubic-close packing.

We later learned that we had the penultimate multiscale model. Could it be classified within your heterogeneous multiscale method (HMM)?

Now, regarding all this data, there are three pages about which I would enjoy your harshest judgments:

https://81018.com/e8/ (Monday, April 8, 2020)

https://81018.com/maybe/ (Wednesday, April 3)

https://81018.com/standard_model/ (Tuesday, April 2)

Can you help? Thank you.

Most sincerely,

Bruce

_____

# Francis, Matthew R.

# Matthew R. Francis

**Key Articles**:

• The Origins of Dark Matter (*Symmetry*, November 2018)

• *The quest to test quantum entanglement* (*Symmetry*, November 2018)

• *Already beyond the Standard Model* (*Symmetry*, October 2018)

• *Five mysteries the Standard Model can’t explain* (*Symmetry*, October 2018

• Will We Recognize Alien Life When We See It? (Mosaic / digg, October 2015)

• *Quantum and Consciousness Often Mean Nonsense* (Slate, May 2014)

**CV**

**LinkedIn**: http://linkedin.com/in/matthewrfrancis

**Twitter**: @DrMRFrancis

**Websites**: http://bowlerhatscience.org/ (Personal Website)

• http://bowlerhatscience.org/writing-portfolio/

• http://GalileosPendulum.org (Blog)

First email: 15 November 2018

Dear Prof. Dr. Matthew R. Francis,

Is simplicity good?

We took the Planck base units of Length, Time, Mass and Charge and

applied base-2 exponentiation. In 202 doublings, the chart is out to the

Age of the Universe. It seems straight forward, however, the results are

rather startling.

First, it is a simple, logical, mathematical map of the universe.

I am not sure… are there any others?

By studying the numbers associated with each doubling, we see

that most of the 202 doublings are about the early universe.

Notation 143 contains the first second.

Notation 197 contains the beginning of large structure-formation.

All the numbers are here: https://81018.com/chart/

Though entirely idiosyncratic, I think there is something here.

1. Of course, the Planck Length doubling at one second, divided

by the Planck Time doubling at one second is very close to the value

of the speed of light in a vacuum. It is consistent with Planck’s initial

equation for Planck Time. Yet, it is naturally also consistent within

each of the other 202 notations.

Thus, space-and-time appear to be derivative, quantized, and discrete.

2. There is a natural inflation that mimics the ΛCDM model.

3. All notations appear to be forever active and necessarily

interdependent and appears to define the Now for Richard Muller

and Carlo Rovelli.

We started this project in a high school geometry class in 2011

( https://81018.com/home/ ) with just the Planck Length. We

did not introduce Planck Time until 2014 and Planck Mass and

Planck Charge until 2015. So, really we have just begun to study

and attempt to understand these numbers in light of current theories

within cosmology and physics. It is entirely provocative!

Even though it is idiosyncratic, is there any hope for it?

The current homepage is my latest attempt to spotlight key ideas

and problems. Thank you.

Most sincerely,

Bruce

# Ismael, Jenann

**Jenann Ismael**

Department of Philosophy

Columbia University

New York, NY

Articles: Passage, Flow, and the Logic of Temporal Perspectives

Books

CV

Homepage (Columbia). (QISS)

Wikipedia

YouTube

**References within this website**: https://81018.com/2016/06/30/perimeter/

See: Foundational Questions Institute (FQXi)

Second email: January 30, 2022 @ 5:55 PM

**RE:** FQXi article by John Farrell, “Can Time Be Saved From Physics?” regarding Craig Callender’s Lakatos award-winning book, *What Makes Time Special?*” Columbia University philosopher Jenann Ismael notes that timing played a role in the meeting’s success. “I think many of us had been coming to the same ideas from different directions, and—with Craig’s book just out for a while, and Carlo Rovelli’s *The Order of Time* released the first day of the conference—it felt like kind of a moment,” she says. Ismael notes that while participants at the meeting were able to learn from others from different disciplines, there are still huge points of contention between the different academic cultures. Physicists in general, are “more inclined to dismiss passage, flow and the sense of openness of the future as illusions,” she says.

_____

Dear Prof. Dr. Jenann Ismael:

I would like to respond to your comments above from within John Farrell’s article, “Can Time Be Saved From Physics?” My question: “Why can’t we use the Planck base units as a starting point?”

Here is a copy of my post about that article:

**Planck Time (t _{P}) opens basic questions**. First,

**t**is a direct correlation and necessary relation with a length and light in much the same way Einstein’s well-known equation, e=mc

_{P}^{2 }necessarily and dynamically relates mass, energy and light. These four Planck base units are each natural units using only the most fundamental universal constants to define them. Could these four base units and light (and the dimensionless constants that contribute to the essential natural of the Standard Model of Physics) be the very first moment in time? Could the universe start cold on one hand and hot on the other? “Light” blasts In on one hand, and an infinitesimally “cold” (close to absolute zero Kelvin) start on the other. Impossible? Planck Temperature light on one side an infinitesimally first particle defined by Planck Length and Planck Time on the other. A primordial, archetypal sphere coming at you at one sphere per unit of Planck Time renders 539 tredecillion spheres per second. That’s a nice expansion. If the light is cooling according to the inverse square law, we have dynamics that John Archibald Wheeler’s creativity never imagined. It’s Johnny’s old quantum foam. Now, what if there is an application of cubic close packing of equal spheres (ccp) at this scale and the stacking amounts to a doubling? Within 202 doublings of base-2 notations these Planck base units have become the age of the universe, the size of the universe, the total mass of the universe, and the total energy of the universe, and yes, it is still happening right now. Crazy, yes! Idiosyncratic, yes! But why not explore such a simple model? Some aspect of all that has been our effort since December 2011: https://81018.com To see a chart of the numbers and to get a sense of the emergence and natural inflation: https://81018.com/10-years/

It is too simple, so simple it seems a bit of silliness. But if you look at the numbers, there is a sweet logic that prevails. https://81018.com/calculations https://81018.com/validate/

I would be very pleased to hear from you. Thank you.

-Bruce

First email: 19 October 2018

Dear Prof. Dr. Jenann Ismael:

I started seeing references to you and your work regarding the structure of space and time. Then, came FQXi, then symmetry, Rovelli’s work, a conference about time at Perimeter… so I started to investigate. When I do, I create this little reference page along with a copy of my notes as I struggle to see how it all fits together.

Since December 2011 we have been studying an application of base-2 notation from the Planck base units to the age and size of the universe. We know well that it falls outside the normal work within physics-philosophy-mathematics today. But, such a simple concept renders rather unusual-even surprising results:

• There are just over 202 doublings. Our working numbers: https://81018.com/chart/

• Too small to measure, the first 64 notations: https://81018.com/64-notations/

• Does it address the derivative structure of space-time? https://81018.com/c/

• The doublings create a natural inflation: https://81018.com/ni/

• Perhaps it is just too simple. The first second emerges within the 143rd notation.

• The 202nd notation has a processing speed of 10.9816 billion years and I am not sure what it means to be just 2.8 billion years into it!

I thought you might find it all of interest. I don’t think it’s just poppycock… If it is, it seems we’ll have to re-examine the foundations of logic, mathematics, and integrity, and the concepts of continuity and symmetry!

On leave from Columbia, I hope your work is going very well and you are making very special progress. I would be delighted to hear from you either way, poppycock or ** not **poppycock!

Thank you.

Sincerely,

Bruce