Conway’s Mesh of Life

I saw him there as he sat, with his classic slightly bemused grin before his lecture.  I had never got a book autographed, until then. I am not easily enamored by fame, scientific or any other knowledge or skill domain. But I powered through my natural enryo, for I had brought his book with me intending to get him to sign it. I thought his book as one key to unlocking an important question.

I have studied the contents of the book for years. And continue to revisit and re-cycle his ideas contained within.

To Subquotient, or Not Subquotient,
That is the question!

The divisor status, of the lattice, oh my, Times, Rudvalis.
Crack the Dirac, Landau beseech the damp Leech.
It’s a Monster Conway Mesh, Mathieu’s Stretch, Jacques’ Mess, Janko’s Sprains, and Einstein’s Strain…

He had given me a quizzical look, since my hair was graying and I didn’t say anything.  He said it was his “best book.”  I nodded and I didn’t say anything.  I am not a mathematician by training, and I was working on a slow idea, not ready for Prime time On the nature of the universe.

Never mind the mock theta, Ramanujan’s gap, Namagiri dreams.
No Tegmark or Linde, but
Verlinde in name. It’s all but Feynman’s streams,
and weigh.

Such a Prime rank, any such Milnor’s exotic sank
No mess, no Stress, but Strain.
Tensors Bohm and bain

John Horton Conway, Inventor Rational, FRS (/ˈkɒnweɪ/; born 26 December 1937 – April 11, 2020) was an English mathematician active in the theory of finite groupsknot theory, number theory, combinatorial game theory and coding theory. He had also contributed to many branches of recreational mathematics, notably the invention of the cellular automaton called the Game of Life. Conway was Professor Emeritus of Mathematics at Princeton University.

He was the primary author of the ATLAS of Finite Groups giving properties of many finite simple groups. Working with his colleagues Robert Curtis and Simon P. Norton he constructed the first concrete representations of some of the Sporadic groups. More specifically, he discovered three sporadic groups based on the symmetry of the Leech lattice, which have been designated the Conway groups. This work made him a key player in the successful classification of the finite simple groups, which is considered one of the greatest quests in mathematics.

Now that John has passed from the scene, his Game of Life has ended, a new requestion will be continued. Conway’s Monster Mesh needs to be fleshed out and explained in more simple and complex terms: 1) in in-form-ation terms, 2) in phys-ical terms, 3) in mathe-mat-ical terms, 4) in in-volut-ionally and en-volut-ionally terms. But also explained with these four towers of Babel — integrated.

My slow idea was to use as a Framework based on Conway’s work on Symmetry and the Sporadic Groups, but also other mathematicians and scientists.

Many mathematicians including Conway regard the Monster Group as a beautiful and still mysterious object. Since there is no “physical meaning” attached to mathematical concepts and percepts, these “conceptual ideas” in mathematics will continue to be “beautiful and mysterious” and ABSTRACT. However, one can be more systematic in the use of ideas. It is about that Relational Thing: not only about Conway, Dirac, Einstein, Newton, or Hawking ideas.

Life Itself

When looking both at the details and the overall Gestalt, patterns can be seen. It might be called Existence Itself More and Less, A Gain.

The 27 Sporadic Groups with corresponding
Physical Ansatz Concepts and Percepts
Gestalt Science

Gestalt Science related blogs: Gestalt ScienceReimaginingFeynmanThat Relational ThingThe Digital Sand ReckonerTowards Quantum FormaticsThe Ring that Binds and GrindsPrimeOn the Question of Learning WordsOne Ring that Binds Them AllThe FunctionalWithin the Edge of…

Inventor Rationals include: Feynman, Atul GawandeLarry PageElaine MorganLynn MargulisElon MuskSteve JobsJoseph James SylvesterFrances CrickPaul AllenWerner Von BraunWolfgang PauliAbraham LincolnMark TwainHedy LamarrJulius Sumner Miller, and Zhang Xin

Using Reasoning to Learn New/Old Words

“Only strong characters can resist the temptation of superficial analysis.”

Albert Einstein

Quantum mechanics, with its leap into statistics,
has been a mere palliative for our ignorance.

Rene Thom

When logic and proportion fall soggy dead,
and the white knight is talking backwards,
with the Red Queen is on her head,
Remember what the dormouse said:
Feed your head.
Feed your head!

We typically learn many words from context, rather than looking them up in a dictionary. Each person knows and uses many words which they cannot define exactly. Most of the words we know are not learned by someone telling us the definition. More typically, we learn words by extracting its meaning from context. The first encounter with a given word is usually not sufficient to gain any real understanding of the word.

Understanding can be achieved by comparing several examples. Each successive example can either augment understanding, confirm the understanding, or in some cases, uncover misunderstanding.

Learn, Unlearn, Learn

If you don’t understand something said,
don’t assume that you are at fault.
David West Keirsey

Wandering towards Scientific Enlightenment

Understanding can always be improved.

Problem comes when learning old fast ideas.

The trouble with specialists is that they tend to think in grooves
Elaine Morgan

In 1900, Max Planck had created a theoretical explanation of Wien’s formula on black body radiation. But in that process, experimentalists aware of Planck’s interest in the matter, had recently looked into the matter at longer wavelengths and higher temperatures, and told Planck that the infrared region at high energies violated Wien’s formula — so his original explanation was wrong. To quickly solve the problem, Planck added a “correction” to his analysis. A resulting derived formula proved to correct, no matter the increase in frequency (looking at a wider range of energies) and the improved accuracy of experimental results. Planck went back to his quickly modified analysis and reformulated his ideas to justify the semi-ad-hoc correction and found that it implied that energy was emitted or absorbed in discrete units based on Boltzmann’s combinatorics. He had solved a problem by simply creating a “chimera:” adding a factor in his equation — but he did not realize its consequent was as significant until he tried to justify his change theoretically. Even then, he did not consider it as profound, until Niels Bohr and others started to apply his new idea “a quantum action” to atoms and molecules. Another problem was there was a flaw in Planck’s reasoning for which Satyendra Bose corrected later, but the idea of quantum action has proved to be one of the two key and major ideas of physics in the 20th century.

Niels Bohr became very successful in applying Planck’s quantum action idea when examining the spectrum of the hydrogen atom. The failure of Rutherford’s simple analog “orbit” model, whereas the precise predictions of Bohr using Fraunhofer spectral lines, signaled the death of 19th century physics in the realm of small. However, for more complicated atoms, Bohr’s model wasn’t as accurate, so his original fast idea [quantum theory] needed modification or to be added to. The initial progress of the ideas: Einstein’s 1) lichtquanten, 2) special relativity, 3) general relativity; 4) Schrodinger’s recursive function equation; and 5) Dirac’s delta functional; petered out into the “particle and force zoo” ending up with the not very well understood statistical and probability based Standard Model of particle physics.

Wandering towards Scientific Enlightenment 2.0

Time, Space, Mass, Energy, Charge, Spin? What do these words mean?

Gestalt Science related blogs: Gestalt Science, Reimagining, Feynman, That Relational Thing, The Digital Sand Reckoner, Towards Quantum Formatics, The Ring that Binds and Grinds, Prime, On the Question of Learning Words, One Ring that Binds Them All, The Functional, Within the Edge of…

Gestalt Science

modeling_relationA Viking Reader

Fearless Asymmetry and Symmetry

Chaos to Order,                                 Order to Chaos

My father died on July 30th, 2013 and I intend to honor him, if I can, by writing a blog about him and the consequences of me integrating his ideas every year.  First year,  Second YearThird Year, Fourth YearFifth Year, Sixth Year. this is the Seventh Year.

keirsey_seaweedMy father, near the end of his life, considered himself the last Gestalt Psychologist. When I was very young I was fearful of kelp seaweed: my father showed me that it couldn’t hurt me, so I shouldn’t be afraid of it.   I learned from him. If you understand something, you can reason about it.   If you only have a correlation, you can’t be sure of the factors. He was never afraid to question conventional wisdom or the current fashionable and entrenched ideas (however old or fast those ideas were).

As a clinical school psychologist he was on the front line against invasion of chemical psychiatry into K-12 schools, and he saw how they used “their pseudo-scientific expertise [and argot]” to fool and trap kids and parents into approving the use of brain disabling drugs, within the “educational system” and with the implicit pressure and blessing (and relieving of responsibility) of the teachers and administrators.  He also didn’t buy into the dominant paradigms of the first half of 20th century of Freudian psychology and the correlational “blank slate” behaviorism of Watson and Skinner.

“If you don’t understand something said, don’t assume you are at fault.”
— David West Keirsey

Throughout my discussions and debates with him in my lifetime, he talked about ideas.   We talked about philosophy, science, mathematics, computers, people, and life. 


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