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(s): Tianjin, 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/biased/#R3-2
May 5, 2020: https://81018.com/biased/#Aristotle _____________._April 2020: https://81018.com/fqxi-aristotle/
____________ https://81018.com/biased/#1b ____________________. March 2020: https://81018.com/imperfection/
October 2018: https://81018.com/realization6/ __________.__. ___January 2016: https://81018.com/number/#En7

Fifth email: 26 April 2026  (updated)

Dear Prof. Dr. Chuanming Zong,

Although I recently sent you a note, I hope you do not object to another note so soon after that.

My first email to you was over ten years ago. And, I so appreciate the work you’ve done. My work is so idiosyncratic by comparison! Yet, as a mathematician, at least you know my direction. If you have any ideas or thoughts about fine-tuning this work, please do not hesitate to be critical of it. I am trying hard to.find critical feedback. Thank you.

Warmly,
Bruce

Fourth email: 7 March 2024

RE: Two quick questions

Dear Prof. Dr. Chuanming Zong,

  1. Have you or Prof. Lagarias ever considered publishing your AMS Mysteries paper within ArXiv?
  2. Would you help to write an article about the nature of the gap and how it manifests in spacetime? If five scholars were involved and each took a different look at the gaps – tetrahedral, octahedral,  icosahedral and pentakis-dodecahedral. It may become a well-received, highly-quoted article. 

I have been talking with the ArXiv folks about the gap and how it is under-analyzed by their authors. 

I hope you have been well. 

As you can imagine, I think the ramifications of all your work have implications that transcend nations and history.

Thank you.

Warmly,

Bruce

PS. Last summer we were in northern Italy and southern Switzerland climbing around their smaller mountains — https://81018.com/bec/ — with a picture of my wife and me at that time.  -BEC

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/biased/#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 (1959) and others were not leading us astray (https://scripts.iucr.org/cgi-bin/paper?S0365110X58000487). 

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 202 base-2 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 made with
20 tetrahedrons. We call it, 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

RE:  Mysteries in Packing Regular Tetrahedra, Jeffrey C. Lagarias and Chuanming Zong, AMS Volume 59, Number 11, Dec. 2012

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

_____

Base-2 notation from the Planck base units to this day outlines the universe in 202 base-2 notations. Here is the start of a new Standard Model that unites Cosmology and Particle Physics.

Kristina Starkloff, Archives of the Max Planck Society
Archiv der Max-Planck-Gesellschaft, Boltzmann strasse. N14, 14195 Berlin, Germany

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

First email: 21 January 2020

Dear Dr. Kristina Starkloff:

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.

MaxPlanck1947

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 

Reference: 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 linked 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.

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

Looking in on the work of Renate Loll and Causal Dynamical Triangulation

Renate Loll, Radboud University, High Energy Physics
Institute for Mathematics, Astrophysics and Particle Physics
Nijmegen, Netherlands

Articles: Causal structure (2020), The Universe from Scratch (ArXiv 2005)
ArXiv: Renormalization Group Flow in CDT (2014); CDT and Cosmology (2017)
Homepage(s): The Physicist Who Glues Together Universes, Charlie Wood, Quanta Mag., May 2023
Video: Emergence of quantum spacetime from causal dynamical triangulation
Wikipedia: Causal Dynamical Triangulation (CDT)

Sixth email: 26 January 2024 at 10:11 AM

Dear Prof. Dr. Renate Loll:

A quick question regarding the infinitesimal, Causal Dynamical Triangulation (CDT), and the work of the Lawrence-Livermore National Laboratory- National Ignition Facility (LLNL-NIF)… Do you think CDT might have insights to help inform the definitions of those processes and steps to achieve sustained nuclear fusion? I am particularly thinking about questions regarding phase transitions. I have proposed that there are no less than 64: https://81018.com/star-formation/#Summary

In my communications with the LLNL-NIF, I have begun referring them to those disciples like CDT that are not on the grid yet have well-developed architectures. Do you think CDT could help them refine their processes? Thank you.

Most sincerely,

Bruce

PS. Have you ever commented on the 1984 work by Ed Witten on QCD? Thanks. -BEC

Fifth email: Friday, 17 April 2022

Dear Prof. Dr. Renate Loll:

You may appreciate these 12 questions from today’s homepage. Your comments would be highly regarded. Thank you.

Most sincerely,

Bruce

PS. Here are the questions slightly abbreviated. -BEC

  1. Is it possible that the first instance of the universe is defined by Planck’s base units
  2. Is it possible that the first manifestation of those base units is an infinitesimal sphere?
  3. Might the characteristics of pi describe those spheres? 
  4. Might the Fourier Transform impart either electromagnetism or gravitation to each sphere?
  5. Is it possible that one sphere manifests per unit of length and time?
  6. If so, doesn’t that compute to 539 tredecillion spheres per second using Planck units and 4605 tredecillion units per second using Stoney time?
  7. Is it possible that the densities within the earliest notations are on the order of a blackhole?
  8. To create some sense of order with the generation of infinitesimal spheres, may we use base-2 notation?
  9. Using base-2 notation, are there 202 base-2 notations from Planck Time to the current time? 
  10. Is the calculation significant at one second where that Planck Length multiple is a very close approximation of the distance light travels in that second?
  11. Is it significant that quantum fluctuations are measured within Notation-67? Notation-72 appears to be the limit of our abilities to measure a duration of time.
  12. Would these notations, 1-64, provide 64 possible redefinitions of a point-particle? (And, I would add a vertex.)
Fourth email: Friday, 17 April 2021

Dear Prof. Dr. Renate Loll:

Causal dynamic triangulation describes a most fundamental process.

Is there any possibility that Causal Dynamical Triangulations (CDT) could be related to cubic close packing of equal spheres? Within the Wikipedia entry, I see that John Baez is among those who are editing that page. That’s excellent. That entry identifies just three people, you, Jan Ambjørn and Jerzy Jurkiewicz as its lead architects and then Fotini Markopoulou and Lee Smolin as people who’ve popularized it. I have come back to CDT because by its very nature, it must see the nothingness beyond-the-unseen and intuit, then articulate the very essence of a beginning point for space-time.

Yet, given our rather naive work since December 2011 (high school is high school) and our entirely idiosyncratic approach — going within the tetrahedron-octahedron the 112 base-2 steps to around the Planck scale then out the 90-steps to the current time — I also ask, “Could spacetime be fully 3-dimensional near the Planck scale?” In my stretched logic I see an infinitesimal sphere manifesting, sphere stacking and packing (from Kepler to Hales to Zong). CDT comes quickly but later. Possible or just silliness?

As usual I let scholars know when I quote them or use their image to go to this page or footnotes to discuss your work. Though still in process, you are back on today’s homepage here: https://81018.com/questions-1/ The footnotes and references are just now being developed. To attempt to facilitate discussions, I have asked a few questions of my visitors: https://81018.com/questions-1/#Questions I would be glad to send you another note with just those questions to facilitate a discussion. Thank you.

Warm regards,

Bruce

Third email: Tuesday, 18 June 2019

Yes, you are back up on our homepage today: https://81018.com/believed/
Essentially, inspired by Murray Gell-Mann, I thought you would want to know.

In light of the Ellis Physics on Edge harangue, virtually touching everyone who has been a leading thinker in the past 20 years, right to the final paragraph with Dawid-Rovelli, I repeat the John Wheeler 1986 statement within his article, “How Come the Quantum?” where he says, “Behind it all is surely an idea so simple, so beautiful, that when we grasp it — in a decade, a century, or a millennium — we will all say to each other, how could it have been otherwise?”

These simple numbers may bear him out: https://81018.com/chart/
Simple processes, like Euler’s equations and base-2 notation give us an entire range of unexplored numbers from the second notation to at least the 64th notation. That’s a science unto itself. Pure math, perhaps the string theorists could finally claim a home.

It is easy to write off simplicity, yet someday these numbers will be explored by the likes of somebody as informed as you are. Thank you.

Most sincerely,

Bruce

Second email: Sunday, 27 January 2019

Perhaps the earlier email (below) was buried. Perhaps this base-2 model is just too absurd to acknowledge. I am just a simple guy following simple logic.

On one of our homepages I suggest that these are our primary assumptions:

1. The Planck base units of length, time, mass and charge describe a real reality.

2. The conceptual door to this infinitesimal universe is where all four Planck base units concresce (grow together, yet individuate) to create a stream of infinitesimal spheres. Though physical, length-time are well below thresholds of measurement, the progression of mass-charge units can be studied. These four units are, in some manner of speaking, the Janus-face of each other and of light.

3. Conceptually, sphere stacking becomes cubic-closest packing; tetrahedrons and octahedrons emergeDoublings beginOur universe emerges. Their numbers eventually begin to define things within our current scientific realities. This is a natural inflationAnd, it’s not dark.

Since December 2011, I have been carrying on in this light, slowly, intentionally, but naively. I wish somebody of your stature and command of all the academic fields involved would take a moment and put a stop to this effort if it is sheer poppycock. Thank you ever so much.

Sincerely,

Bruce

First email: 21 October 2018

Dear Prof. Dr. Renate Loll:

Thank you for all your work linked (just above), particularly your efforts to discern “…a consistent theory of quantum gravity which describes the dynamical behaviour of spacetime geometry on all scales.”

Our focus has been on the Planck scale. We believe there it has more to contribute than meets the eye.

Between the Planck scale and “CERN-scale of measurements,” there are 67 doublings (or notations or causal sets) of the Planck base units.

[If we assume the very first instant of the universe is that which is defined by Planck Time and Planck Length and Planck Mass and Planck Charge and that there is a natural base-2 expansion, the 202nd notation includes the current day and time].

Perhaps it might be better to start at the first doubling and to observe the logical possibilities.

Essentially we’d be building a unified theory of mathematics, yet this one would be based more on John Wheeler’s sense of simplicity (I love his introduction of this article, How Come the Quantum?) than on Robert Langland’s programs. Langland’s needs the plancksphere that both Max Planck and Wheeler anticipated.

Might other factors like Causal Dynamical Triangulations (CDT), Regge calculus, fractal structure, 2-D spacetime, and the flavors of the simplex be included in an appropriate build-out and within an appropriate doubling?

I think that the emergence at the Planck base units, the simplest planckspheres may well account for what we know as dark matter and dark energy. Ours is a relatively simple assumption.

Among all the people to whom I write, I suspect you can debunk this concept most quickly; or, you may be surprised at its simplicity and possibility. Of course, the derivative, discrete nature of space-time is necessary and I think we would do well to redefine the infinite with mathematical terminology and anticipate a finite-infinite transformation possibly further defining the renormalization process..

To say the least, I would enjoy hearing from you.

Most sincerely,
Bruce

PS. I first became aware of your work through the Perimeter Institute’s 2016 conference, Time in Cosmology I write letters to focus my thoughts in conjunction with the thoughts and work of a person who appears to be vibrant, open, in love with life, and filled with questions.


Follow-up Causal Dynamical Triangulations (CDT): CDT and Cosmology:
•  Non-renormalizability of perturbative quantum gravity
•  FLRW paradigm:  Physics Beyond the Standard Models of Particles, Cosmology and Astrophysic.
•   Imposing homogeneity and isotropy on spatial slices of constant time, t.
•   So-called “backreaction” effect of inhomogeneities on smaller scales on the dynamics of the universe on larger scales
•   “…an explicit realization of a non-perturbative, Planckian quantum dynamics…”

More Work to do (further research):
•  Path integrals and Gaussian fixed point. See Assaf Shomer’s on page 7: “The derivation of the path integral formula in quantum mechanics of a massive particle involves chopping up the quantum evolution into very short time intervals and inserting complete sets of states between them.”
•  Doplicher S, Fredenhagen K, Roberts JE (1995) The quantum structure of spacetime at the Planck scale and quantum fields. Communications in Mathematical Physics 172(1):187–220
•  Scale invariance and conformal symmetries


This homepage is called a “how-to” page…

CENTER FOR PERFECTION STUDIES: CONTINUITY  • SYMMETRY  • HARMONY   • USA • GOALS • 2018
HOMEPAGESJUST PRIOR|1|2|3 |4|5|6|PI|8|9|10|11|12|13|14|15|16|17|187|19|20|21|22|23|24|25|ORIGINAL
72 OF 202: GRID of EVERYTHING, EVERYWHERE FOR ALL TIME, NOT A THEORY OR VISION, JUST MATH.

Sphere to tetrahedron-octahedron couplet
Planckspheres, cubic-close packing, emergence†

The Emergence of the Universe

By Bruce Camber_  _*Inspiration for this page_ _And, Another Version of this homepage

This website is a study of a model of the universe based on an application of base-2 exponentiation (multiplying by 2 or doublings) that eventually encapsulates-and-relates everything, everywhere, for all time in just 202 notations. This model of the universe starts with Planck Length and Planck Time, the smallest possible measurements, and goes to the largest. It starts with the very first moment in time and goes to this very moment in time.

There has never been a mathematical model of the universe quite like it.

To get an intuitive sense of this model is difficult. Four sacred cows of science need to be reexamined; these are best summarized as continuity, symmetry, harmony and the finite-infinite relation. Continuity applies to the nature of time. Symmetries apply to the structure of space, focusing here particularly on the very small-scale. Harmony is a focus on the dynamics of perfection and imperfection whereby chaos, indeterminacy, creativity, free will and fluctuations all emerge. And, all three are the face of the finite-infinite relation. [1]

The dynamic image at the top of this article opens this analysis. The first sphere is the first instant of space and time with a very specific mass and charge. These numbers were all calculated by Max Planck in 1899 and have been studied in earnest since 2001 when Frank Wilczek wrote a three-part series, “Scaling Mt. Planck” for Physics Today. [2]  When he received his Nobel prize in 2004, these three articles took on the patina of authority.

The next step for scholarship was obvious, but everybody seems to be ignoring it.

The first moment of time is derivative, finite and discrete. Newton’s absolute space and time are sidelined to introduce a new scale of the universe that begins with Planck Length and Planck Time. The focus of that image, including the ellipsis (36 displayed), is the first emergence.” [3]

Seemingly out of nothing – no space, no time – it all starts with just one sphere, defined by the Planck base units and many dimensionless constants, that is followed by another sphere, then another and another…. For now, we’ll call these spheres, planckspheres. If these spheres could be observed — obviously much-much-too-fast-and-too-small to measure — perhaps this process might be described as a line or a string coming out of nowhere, literally defining space and time as it emerges. This is the beginning of time, and this first moment is still emerging, today, at this moment…. It is still creating space/time and the dynamics that are mass/energy (or charge). It is assumed that all four Planck units are inextricably interwoven throughout the 202 doublings [4] (or notations) that bring us to this very moment within this day.

In that light, our first principle is that our Universe begins and is sustained by the dynamics that are defined within Planck Length/Planck Time and Planck Mass/PlanckCharge. Given these are inextricably interwoven, one of our challenges is to loosen, then disentangle all the knots.

Be assured, this is not your daddy’s or your mommy’s sense of time. Here it is a rate of encoding and imprinting on a universe that has no past. It has no future. It is only right now. This instant. Everywhere, everything shares this same moment and this same infrastructure. [5] This first notation is always the same, yet it is always unique just like pi. Impenetrable, there is nothing smaller; and these spheres penetrate and sustain all things.

So, another principle is that time is not a measurement of duration but of processing speed.

Here is the operational nexus between the finite and the infinite. Here is the beginning of an integrated, mathematical model of the universe and a quiet expansion with a most-natural inflation. Here is our little universe displaying its deep-seated order; yet very quickly, it begins to reveal how disorder, chaos, uniqueness, and creativity emerge. [6] Those geometries are well-known and the dynamics within each manifestation are now being explored and will be discussed in subsequent homepages.

Doublings. In the second notation the most basic projective geometry begins to emerge and structure begins building on basic structures [7] that creates a logical continuum from the infinitesimally small scale structures right up to the 67th doubling where now things can, in some sense of the word, be measured by accelerators like CERN in Geneva, Switzerland.

One of the key purposes of this site is to chart a map that takes us right down into these assumed infinitesimal structures.

Academics and scholars have not adopted this model. Questions should be asked  first, about the jump or “quantum leap” from the CERN-scale to the Planck scale. 
To date, there appears to be no other attempt to define this exquisitely small space using a simple application of base-2 notation and a profound respect for the Planck base units. In this study Planck temperature is derivative of mass/charge; so to approach the Planck temperature value, it has been reverse ordered. Just for convenience, it is now started just one notation above the 202nd notation. The logic supporting such a positioning is still being formulated.

Can the deep nature of that “quantum leap” be calculated today using just the four Planck base units and doublings? Could the first doubling from Notation 1 to Notation 2 be the foundation for all doublings?  There are many different types and applications of doublings that have already been well-researched and defined. To learn a little about each, on one page within this site, these key types of doubling will be studied and further researched in light of the continuity equations from the first doubling to the 202nd doubling. [8] Hopefully period-doubling bifurcation, cellular division, double field theory and gauge-symmetry for T-duality-and-doubled geometry, and multiscale modeling and simulations will inform us.

What other kinds of doublings should be considered? The 64 doublings from the Planck scale to just under the CERN-scale (at the 67th doubling) have been well-enumerated through the study of geometric expansions, especially as outlined by the Wheat & Chessboard story. It begs the question, “Is there a logical progression by which numbers and geometries progress?” Does every kind of mathematics, geometry and logic build upon each other? [9]

Given recent scholarship within the studies of prime numbers, the question should also be asked, “What is the role of prime numbers in this expansion?” There are 45 prime numbers between notation 1 and 202; there are 19 primes from 1 and 67. Could each notation that is a prime open a path for more complex mathematics? That question is being pursued within the development of the following pages: https://81018.com/1-202 https://81018.com/a0 https://81018.com/a1 https://81018.com/a2

So, even as we study these possibilities, a simple stacking renders our first doubling and an infrastructure for all subsequent doublings. Our centerfold image at the top captures the dynamics of doublings. Cubic-close packing, both face-centered cubic (fcc) and hexagonal close-packed  (hcp), has a rich history beginning in-and-around the 1570s starting with the problem of stacking cannonballs on the deck of a ship. Today there are purely mathematical packing challenges as well as applications of atomic and crystallographic stacking and packing. By starting with planckspheres, this most-simple doubling application becomes discernible as the second,  third, and fourth doublings are assumed. Further, subsequent doublings are assumed right on up to 202nd doubling and the current time.  Yet, something unusual is captured within the 67th doubling, we begin to measure it. That length opens the possibilities of particle physics revealing the potential science of the first 64 steps. It begs the question; is this a logical continuum from the infinitesimally small scale structures up to those being measured by accelerators like CERN?

These planckspheres, a key element of the finite-infinite bridge, are defined by pi, the Planck base units, dimensionless constants and simple logic. Every finite-infinite discussion-and-debate should be re-examined. Though tedious,  it must be re-engaged.  There are too many fine scholars who are being torn up and their logic being shredded to not engage every idea that has been posited throughout human history. All of that is within the 202nd notation. The 197th notation takes us up to 343+ million years. Our first 196 notations open a deep study of the earliest cosmological epochs.

Could this model be in line with Neil Turok’s conclusions that the universe is in a perpetual state of starting? So, yes, I believe planckspheres and every form of emergence up to the 67th notation are keys.  https://81018.com/1-202

Many people have asked, Why now?

Of course, the question must also be asked, “Is this model overly simplistic and naive?”  Yet, even if so, could this model of the early universe be closer to the truth than the big bang theory? I believe it is. Thank you. -BEC 

###

_________________________________________

Endnotes and Footnotes:

(in process today, 29 June 2018)

[†]   This dynamic image was first introduced within this website on January 4, 2016 in an article about numbers, “Constructing the Universe from Scratch.” It has now become the center point within this analysis. In that initial article, the question was asked, “Which numbers come first and why? Which numbers are the most important to know and understand?” The image was also used within the following articles: Fabric of the Universe (November 20, 2017, just below point #4), Consider how symmetries within the first 67 notations actually create space (Sept. 17, 2017) and Symmetry: Circles-to-Spheres-to-Triangles-to-Tetrahedrons-to-Octahedrons (September 13, 2017.

[1]  The three faces of the finite-infinite relation extend our earlier discussions about David Hilbert’s understanding of infinity and Max Tegmark’s disdain for the word. Continuity-symmetry-harmony are the mathematical-scientific faces of infinity and each face is captured by the dynamics of pi and the emergence of lattice, tetrahedrons and octahedrons, and eventually complex structure.

[2]  Frank Wilczek wrote his three-part series, “Scaling Mt. Planck” for Physics Today, yet has not acknowledged that Planck base units are the best conceptual orientation to start constructing this universe. As a result of this analysis, we will ask him, “Why not?” To our knowledge, the writings within this website are the first to lift up Max Planck’s base units as the starting point for the universe. We are anxious to discover and understand any articles that analyze their place, power and conceptual richness.

[3]  “The first emergence” is a steady stream of planckspheres being uniquely created just like they were in the very first moment. Every notation has a unique function and every notation is evolving at the same time it continues to do what it has done. Here, perhaps are Neil Turok’s perpetual starts of the universe. Here everything, everywhere is built up and emergent from this fabric of the universe, called an aether and/or dark matter and dark energy, that gives this universe its isotropy and homogeneity.

[4]  The Planck base units and dimensionless constants are inextricably interwoven throughout the 202 doublings (or notations) are based on the “Plancksphere” and that analysis is just beginning. I googled the word, for example, on June 25, 2018 with those quotes and there are just nine results. Using two words, “Planck sphere” with the quotes, there are 320 results. And without the quotes there are just over four million combinations that come close. Such results suggest that this is a new or emergent science.

Within our dynamic image about sphere stacking, the tetrahedral-octahedral architecture begins to emerge. Here, the possibilities for getting things inextricably woven together become staggering. By the tenth doubling there are 134,217,728 scaling vertices with which to work. By the 20th notation it catapults to 1.4411519×1017 — there are no limits to the entanglement of strings and knots and yet-to-be-fathomed geometries to create. By the 64th notation those scaling vertices have jumped up to 6.2771017×1057  and the first particle has yet to emerge!

Unless this simple logic is mistaken, there is altogether too much potential to ignore these possibilities and this orientation any longer.

Also, it should be pointed out that Max Planck’s formula for light — you can see it on line 10 of the horizontally-scorlled chart of 202 notations is a special calculation that needs further study.  The fact that these doublings is a form of base-2 exponentiation suggests that our universe is not linear and just might best be defined by Euler’s identity, considered by many mathematicians and physicists to be the most beautiful of all equations.

[5]   Everywhere, everything for all time shares this same moment and this same infrastructure. There are many books and articles about the nature of time. Within this study, most have fallen short. Einstein and Planck opened the door to re-analyze Newton’s earlier conceptual frame of absolute space and time, yet nothing more compelling emerged. Newton continues to define our commonsense logic, but should it? If it is established that period-doubling bifurcation, cellular division, double field theory and doubled geometry, and multiscale modeling all share the same common denominator that starts at the Planck base units, absolute space and time can be placed on the historical shelf as a footnote within the imprinting on the sentience of this universe. More work needed…

[6]  Consider disorder, chaos, uniqueness, creativity and fluctuations. The scholarly community is increasingly confused with the terms, infinite, space and time.  David Hilbert’s simple analysis leaves much to be desired. The infinite can be understood as a logical construct where it is the foundation for continuity, symmetry and harmony. These three perfections should all be understood to be a scientific assertion about the nature of order, relations, and dynamics. The various manifestations of fluctuations can be experienced as disorder, chaos, uniqueness, creativity and human will. The geometry for fluctuations begins with the simple pentastar, a clustering of five tetrahedrons. The next base structure, the icosahedron, is a clustering of 20 tetrahedrons. The dynamics of each will be introduced within future homepages.

[7]  Structures begin building on basic structure.   There are two areas where our analysis is focused. The first is on a notation-by-notation analysis but progress is slow because there is so much mathematical logic to be learned. The other is basic geometries, quantum geometries and dynamic geometries.  Here, too, there is so much to learn and, of course, more to come

[8]  There can be strains of continuity within discontinuity. There can be strains of discontinuity within continuity.  The continuity equations from the first doubling to the 202nd doubling come from within a continuity that envelopes our physical universe, so here, too, there is more to come

[9]  There appears to be a rigorous academic study of the logical construction of concepts, geometries, and equations. Mathematics and geometries do build upon each other! These studies will become our studies and as quickly as possible, each will be integrated within our map of the universe. Yes, there is more to come


“In philosophy, systems theory, science, and art, emergence occurs when “the whole is greater than the sum of the parts,” meaning the whole has properties its parts do not have. These properties come about because of interactions among the parts.” -Wikipedia


This page was started on June 21, 2018 in South San Francisco while on our tour of America. On many occasions Hattie and I been challenged to look at the world and ourselves in new ways. Along our route, we’ve spent time engaging with people:

  • At John Hendrick’s retreat, Gateway Canyon Ranch, an hour south of Grand Junction, Colorado, we discovered his CuriosityStream retreat center. That got me thinking.
  • We were in the highly-overpriced Yellowstone Hotel in Wyoming where the National Park Service is attempting to create a Disney-like experience, highly-controlled-and-organized wilderness. That compressed conflict got me thinking.
  • On our drive to Bend, Oregon, I discovered the Simplot Don plant near Pocatello, Idaho and learned about fertilizers and growth and even that challenged my thinking.
  • In Bend, while visiting with friends, I was challenged again to understand why there is such disparity, both political and economic, within our world.
  • On to Portland, the land of inclusivity, two different sets of friends challenged me to see the world through their eyes. There is so much to process and process it we will until each becomes a homepage.

This homepage was simply to clarify the last three homepages:

Thanks again.

-BEC


The next homepage builds from this page and from those past homes pages linked just above, and from a page written on July 23, 2016 entitled, Chaos-Order, Indeterminant-Determinant.

Somers, James

James Somers
New York, NY

Articles
Blog
Homepage
Inventor

Second email:  3 June 2018

Hi James –

There are just 202 notations from those Planck base units to the current time. https://81018.com/chart has the simple math. https://81018.com/home has a simple history. And the homepage — http://81018.com — is the most current reflection.

As you might imagine, the first second is between notations 142 and 143. It is a natural inflation (aka Euler’s identity) and, to date, nobody has provided a rational reason to stop studying this progression. I am most fascinated with the potentials within the first 60+ notations. I do not believe these have ever been carefully examined by mathematicians.

I sent an introductory note to you on 8 April 2018!
Thanks.

Warmly,
Bruce

First email: 8 April 2018

RE: What a gracious and open person you are…*
YOUR ARTICLE: Your article in Atlantic Monthly, 5 April 2018 

Good work! Nice thoughtful reflections. And,
jsomers.net is nicely done. You’re a mensch!**

I sent this note through Twitter, but whoever sees a tweet?
So, just for the record:
vertical bar green@jsomers @TheAtlantic
Excellent. At first I thought it was going
to be a Wolfram promo piece,
but that quickly changed!
Thanks for the introduction to Jupyter.
Thanks for the thoughtful reflections.
What ArXiv entry has the most signatures?
http://81018.com – An integrated universe view: visuals?

I am one of those idiosyncratic fellows who has been
chasing the EPR paradox since 1971. Actually met JS Bell
at CERN through MIT’s Viki Weisskopf… so many stories.
In 2011 helping a nephew, I finally found a mathematical container
for the universe: https://81018.com/home It’s been six plus
years attempting to exegete that initial work.
Here’s a chart/map of the universe that is
laughable for its simplicity and grandiosity!
https://81018.com/chart
Thanks again!

Most sincerely,
Bruce
****************
Bruce Camber
http://81018.com

*I hope you do not mind that I have created a reference page to your work and have included you within our Rogue’s Gallery.

**For me, a person who causes one to think a new thought
and or see the universe in a new way.

_____

Your Small Group For Controversial Discussions

The Nature of the Finite-Infinite Relation

December 2017 Update: April 2018 OVERVIEW  WORKSHOP Session #1  #2  #3 #4 #5 #6 #7 #8 #9  Summary
PLEASE NOTE: THIS IS An Introduction to A NINE-WEEK STUDY GROUP. For LINKS TO THE ALL Sessions, SEE BELOW.

Convener-Presenter:  This could be you.

Purpose of this group. To develop a special graciousness and openness about life and beliefs, this group is for the people who want to get along with believers and non-believers. Can we find a deeper truth that holds up some new insights that will embrace both sides of an equation by focusing on the nature of the relation. We’ll engage the edges of scientific research and its implications for our current theories about the universe and its origins, and about who we are and the meaning and value of life.

Overview: One of the best sources for a study of the relation between the finite and infinite are the sacred texts within our religious traditions.  Many of us who grew up in the Christian tradition and like typical college students, we tend to reject the old to begin to self-actualize.  Then we begin studying at the limits and boundaries of our knowledge and the challenges can become so daunting, they get left in those undergraduate and graduate classrooms. Personally I went out as far as I could on the edges of physics, working with Bob Cohen, then chairman of Boston University’s physics department, and then with physicists from around the world. I began discovering there are conceptual overlaps between all the departments within the university. The most extreme appeared to be those who were religious and those who demonized all religions.

What can be more different that the texts within The Bible, both Old Testament and the New Testament, and most texts within the scientific community, that is between Genesis 1 and John 1 and Stephen Hawking’s big bang theory.  These sessions are designed to examine concepts within the sciences, philosophy, ethics, and mathematics to see how and where these overlap with concepts about eternity, infinity, light, and love. We start with an integrated view of the universe, and that begins to inform our understanding of the infinite and infinity.

Structure: This small group will have just nine gatherings, no longer than 90 minutes each. A goal for these sessions is to chart a way to empower people to create such a small group study.
• The first two sessions. We will re-examine cosmological models of the universe (2 weeks).
• The 3rd and 4th sessions:  We will explore various ways of approaching an understanding of the finite-infinite relation.
• The 5th and 6th sessions: We will explore a rather different understanding of light, a light that permeates and defines every notation and all of space and time.
• The 7th and 8th sessions.  We will explore the challenges to our understanding of basic concepts like space and time.  Both become finite and transaction oriented.
• The final session: Beyond the summaries, we will be searching for answers to the question, “What do we do now?”

Simple and small goals:  The first goal is to open the door to a very simple orientation to science and faith that (1) works with science and mathematics and (2) allows for, and possibly informs, religious beliefs. The next goal is to explore the entry points between the finite and infinite. Another goal is to explore the physics, philosophy, and psychology of light. If we have even limited success, we’ll all begin to shrink space and time and open up an intimacy with the universe.

Resources to start your own Study Group:

Promo sample to paste on bulletin boards: Please Update the dates, locations and people.
Update: PDF to be printed back-to-back after updating. It creates four 4.25×5.5 inch handouts.
Introduction/Overview
Session 1Models of the Universe   Worksheet #1   S1a   S1b   S1c
Session 2: Models of the Universe
Session 3: Finite-Infinite: Continuity-Symmetry-Harmony
Session 4: Finite-Infinite: Order-Relations-Dynamics
Session 5: Light as defined by the Planck Length and Planck Time
Session 6: Light and time. Ten ways to reconsider the nature of time.
Session 7: Eight Key Ideas
Session 8: Planck Explains Einstein and Redefines Space-Time and Pi.
Session 9: “It’s a wrap.”
1. Always check the homepage of 81018.com
2. Check for any prior homepages you may have missed.
3. Add to the dialogue: Comment, like, Tweet, Link

UPDATES ON TIME & LOCATIONS