PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY GOALS.January 1-2,.2026
PAGES: CHECKLIST.|.REFERENCES | .RE-READING |EMAILS | IM| CRITIQUE | Zzzz
New words-vocabulary to learn.
You can understand this stuff!
Abstract:
Last year we were just learning about xAI’s Grok. When asked, Grok provided insightful critiques of our working concepts.[*]. This new year, because of AI, we will be learning about the universe in new ways. Take, for example, gauge symmetries (continuous transformation groups) that were first developed by Sophus Lie (Norwegian) in 1871. We’ve been unwittingly defining it further with every new mathematical insight.
This long-term project — to understand the origins of the universe in light of our discoveries that began in 2011 in a high school geometry class — has led us to these questions, “Does base-2 exponential notation from the Planck natural units properly outline our universe? If an infinitesimal sphere is the first object defined by those Planck units, are the geometries of sphere stacking-packing meaningful? If we assume these geometries are meaningful, is the work of Sophus Lie a good introduction to the dynamics of the basic structures of our universe?” Over the years, we asked those questions of our leading scholars. Today, we also ask AI platforms like Grok, ChatGPT, Google’s Generative AI, Perplexity, Anthropic’s Claude, and DeepSeek for insights. -BEC
Keywords: infinitesimal spheres, 202 base-2 notations, continuity-symmetry-harmony, sphere-stacking, cubic-close-packing-of-equal-spheres, gap geometry, finite-infinite, start-of-the-universe, Planck base units…
In search for a better model than the big bang
In our search of a better model, we will continue to craft questions to determine how infinitesimal spheres[1] can logically and mathematically describe the very first moments and the initial conditions of the universe more robustly than the big bang theory. We will explore if these spheres defined by Planck length and Planck time[2] could represent the simplest, yet most diverse and complex entities that fill the universe. We’ll investigate whether particles, including fermions, quarks, and neutrinos, might be better defined within the first 64 notations of this model that starts at the first moment (Notation-0) and goes to the current time (within Notation-202). We will continue to explore the convergence of various advanced mathematical frameworks like Langlands programs, string theory, and super-symmetries within our model of infinitesimal spheres and within functional analysis.[3] That will continue to be a key area of study that AI will help to clarify. Also with AI we will further explore the role and relation of sphere stacking[4] and cubic-close packing of equal spheres.[5] As a result of the emergence of all of the Platonic geometries[6], it would seem that the universe can be constructed. With the Fourier Transform and its spin states, we can imagine that all known dynamics can also emerge. If the three faces of pi (π) — continuity, symmetry, and harmony[7] — do indeed redefine the first moment, our assumptions of space-time-and-infinity will be redefined, too. And, we will anxiously continue to delve into the study of gap geometries[8] to see if these gaps underlie quantum fluctuations and theory.[9]
It is quite radical and a quiet revolution to establish new basics.[10] But now, with AI, we have help and immediate feedback. Thank you, AI. -BEC
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References-Resources
As references are added, other resources will also be added within this website.
[*] Grok, Retrieved 30 December 2024, https://81018.com/grok4/
[†] Grokked: Retrieved 30 December 2024: https://81018.com/grok5/
___________ Retrieved 30 December 2024: https://81018.com/grok/
[1] Big bang, inflation: Retrieved 30 December 2024: http://81018.com/grok3/
[2] Planck length and Planck time: Retrieved 30 December 2024: https://81018.com/grok2/
[3] Functional analysis: Retrieved 30 December 2024: https://81018.com/functional-analysis/
[4] Sphere stacking: Retrieved 30 December 2024: https://81018.com/thought/#6z
[5] Equal Spheres: Retrieved 30 December 2024: https://81018.com/ccp/
[6] Packing & Stacking: Retrieved 31 December 2024: https://81018.com/stacking/
[7] Continuity-symmetry-harmony: Retrieved 30 December 2024: https://81018.com/csh/
[8] Geometries of gaps: Retrieved 10 January 2025: https://81018.com/geometries/
[9] Gap Geometry: Retrieved 10 January 2025: https://81018.com/gap-geometry/
[10] Revolutions- Next homepage: Retrieved 10 January 2025: https://81018.com/sound/
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Attribution-Collaboration
We ask scholars all over the world for advice. Today we also turn to the postdocs and graduate students. To encourage collaborations, there is a campaign homepage — https://81018.com/sound/ and nine new pages from Grok. All need careful editing and critical review. Want to help? Anybody with a correction may opt to be included within these attributions.
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Reading and re-reading
What is opened on the desk, on the shelves and on the floor.
• Frank Wilczek: QCD at 50: Golden Anniversary, Golden Insights… (March 2024)
• Matthias Bartelmann (1) Triangular_Mesh and (2) Gravitational Turbulence: the Small-Scale Limit of the Cold-Dark-Matter Power Spectrum (PDF) Ginat– Nastac–Ewart–Konrad–Bartelmann–Schekochihin (2 Jan 2025)
• Phua Kok Khoo: 352-page book, Frank Wilczek, Antti Niemi(ed.), Kok Khoo Phua(ed.), Alfred Shapere(ed.) (Apr, 2022) Review.
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Afterthoughts
Personal reflections.
- With his obsession with Mars, it seems fitting that Elon Musk would name an AI tool, Grok, after a Martian by the name of Valentine Michael Smith. The concept and character were introduced by Robert A. Heinlein in 1961 in his science fiction novel, Stranger in a Strange Land.
- Try as he does, Roger Penrose, engages the question, Why Did Our Universe Begin? It is part of the video series, Closer To Truth, 2020.
- I was surprised to discover Peter Trueb and his excellent little article in Nature, π ≈ 3.141, not only now, but forever. Nat. Phys. 15, 302 (2019). https://doi.org/10.1038/s41567-019-0444-5
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Emails
There will be a limited sampling of emails to scholars about key points.
11 January 2025: Diego Rapaport, Buenos Aires, Argentina
7 January 2025: Dario Alfè, University College London, England, UK
6 January 2025: Mark Van Raamsdonk, University of British Columbia, Vancouver, Canada
1 January 2025: K.K. Phua, Nanyang Technological University, Singapore
1 January 2025: Matthias Bartelmann, Heidelberg University, Heidelberg Germany
31 December 2024: Nick Herbert (CA-USA), Frank Wilczek (MIT)
31 December 2024: Scholars around the world, Sample email
26 December 2024: John Lennox, Oxford University, Oxford, England
18 December 2024: William Bialek, Princeton University, New Jersey
17 December 2024: Isabel Garcia-Garcia, University of Washington, Seattle
9 December 2024: Simon Plouffe, Quebec, Canada and Paris, France
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IM
There will also be a sampling of the instant messages to thought leaders about these key points.
. @neiltyson Neil deGrasse Tyson Happy New Year, Neil. My last one of the season! I would love to hear your comments on a thought experiment of taking the Planck base units and applying base-2 notation. The numbers are fascinating: https://81018.com Thought provoking. https://81018.com/chart/ Apparently none of the old soldiers and our intellectual leaders and scholars have ever chased a true exponential expansion of what might be fundamental units. What could possible manifest at that scale? …might a sphere? https://81018.com/structures/ The world’s people need a new paradigm. Why not? -Bruce
5:27 PM · Dec 30, 2024 @elonmusk Grokking will slowly evolve to support the most integrative, critical and creative thinking: https://81018.com/searching/ Researchers like me will use it for immediate feedback: https://81018.com/grok5/ I was specially pleased with this grok: https://81018.com/grok4/
@rossanadudziak Christmas Day 2024 and the hope is that our world’s people will learn some simple, universal truths: (1) pi or π is a special constant — https://81018.com/pi/ — that is appreciated but underestimated, (2) it teaches us about continuity, a fundamental of the universe, with numbers that go on infinitely, (3) it teaches us about a perfect symmetry that generates triangles, tetrahedrons and octahedrons, and it teaches about harmony given with the Fourier transform — https://81018.com/harmony/ Continuity-symmetry-harmony, given in every sphere, teach us about value — https://81018.com/value/ — and the finite-infinite relation. https://81018.com/csh/
Best wishes,
Bruce
@elonmusk There will be no long-term fix without discovering a real moral compass, one that is based on infinity, pi, and spheres. Two references: https://81018.com and https://81018.com/ethics/
. To leading researchers in the physics community: We talk about worldviews because they predetermine how we engage the particular. Most people can not articulate a worldview. What’s the starting point? What is the assumed concept of time? …space? What if we had a mathematically and systemically integrated view of the universe? Yes, there is a start to such a thing: https://81018.com and it even drives an ethical judgment: https://81018.com/ethics/
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Critique You are always invited. Collaborate? Make a suggestion… attribution? Campaign
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• This page became the homepage on 30 December 2024 at 8 PM.
• The last update was 22 January 2025.
• This group of pages was initiated on 12 December 2024.
• The URL for the prior homepage: https://81018.com/structures/
• The URL for this page: https://81018.com/searching/
• The headline for this article: Quiet Expansion Model Critically Reviewed by Grok
• Teaser: 2025: Join the Search for a Better Model than the Big Bang Theory.
• Related Grok files: Grok1, Grok2, Grok3, Grok4, Grok5, Grok6, Grok7, Grok8, Grok9
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