…from the very first moment of time to right now

Yellow Arrow 20x38RightArrowYellowCENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONYGOALS..March.2019*
HOMEPAGES:.ASSUMPTIONS|BOTTOM UP|DARK| INFINITY | MAP-THE-UNIVERSE|Transformations

We all start within a little perfection:

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by Bruce Camber  Yellow arrows (just above) go to related homepages. Welcome Spring  to the northern hemisphere!
Eugene P. Wigner
E.P. Wigner

Background. In 1960 E.P. Wigner, Princeton physicist (Nobel Laureate, 1963) wrote The Unreasonable Effectiveness of Mathematics in the Natural Sciences.1 In this article Wigner beholds the elegance of mathematics and how it helps to define our perceptions with miraculous accuracy. This deep respect, even reverence, for mathematics and numbers goes back to the Pythagorean schools (circa 500 BC), then even further back to the old Hindu masters (circa 800 BC), Babylonian sages (1900 BC) and Egyptian seers (circa 4200 BC).

From about 1900 BC forward, most of these “numbers-people” were mystified and challenged by the mathematics of the circle, the sphere, and the magic of pi (π). There is a unique perfection within pi with its never-ending, never-repeating numbers.

Emma Haruka Iwao
Emma Iwao

As of today, that ratio now has over 31.4 trillion digits, a calculation that was set up by Emma Haruka Iwao.2 It ran from September 22, 2018 to January 21, 2019, yet it will never finish. Within this model, all those numbers of every circle-and-sphere are: (1).the face of perfection, (2).a definition of the infinite, and (3) a finite-infinite bridge. There is a fundamental ordering of numbers, a deep symmetry of relations-and-geometries, and the opening of basic dynamics within harmonic functions.

We conclude, “If we are to understand this universe, we must start with pi.”

Pulling everything together. At no time in our human history has the entire physical universe, literally everything, everywhere, for all time,3 been logically and mathematically encapsulated. Yet, because logic and mathematics fit together, hand and glove, the logic inherent with the Planck base units gives us an actual beginning of the universe. By applying simple mathematics, base-2 exponentiation, to those base units we have another ordering system. Today, right now, this very moment in time, is the current expansion of the universe AND the ever-changing endpoint of the universe AND the current age of the universe.

Max Planck
Max Planck

Planck base units. In 1899 Max Planck4 began to define natural units, special numbers and formulas that actually give us the best possible beginning point of the universe. These numbers are all natural units, defined by universal physical constants. Though ostensibly ignored for about 100 years, in 2001 Frank Wilczek5 of MIT wrote three articles for Physics Today that began the most current, deeper explorations. Wilczek, awarded the Nobel prize in Physics in 2004, lifted Planck’s numbers out of numerology and obscurity and into scientific respectability. The logic and simplicity of these numbers are no longer argued.

Frank Wilczek
F. Wilczek

Since 2011, I have been exploring the question, “Can we multiply these Planck numbers by 2? We unwittingly applied base-2 to the Planck Length while working on a geometrical progression that started by going deeper and deeper inside a tetrahedron. Wilczek and Freeman Dyson6 both encouraged that exploration.

Planck Time in 2013 and 2014. Now, also following Planck Time, I asked, “If this is the smallest possible unit of time, doesn’t it follow that it is also the first unit of time?”

Freeman Dyson
F. Dyson

Asking for a critical review and hearing no objections, I concluded that the Planck base units describe the most-logical starting point of this universe. The expansion of the universe, today, right now, is widely-studied and well-documented by many of our best scholars. As a result of that work, this universe is understood to be between 13.799-to-13.81 billion years; some have it as high as 14.1 billion. Of course, there are a few who push it much higher and a few lower. As of today, we accept and use 13.81 billion years.

I believe that a rather profoundly underrated problem within our scholarship (and even within our faith statements) is the scope of the platform within which we make our observations and pronouncements. The old guard called it a Weltanschauung,7 yet we all know our little world evolves within a much larger universe. I would say that all so-called worldviews are by definition too small. Until we context our belief systems within an ordered, integrated, mathematical universe, our scope is too limited, too confined.

Base-2 Exponential Notation. By applying base-2 (doublings) to the Planck scale, we can rediscover this universe, now parsed and parameterized within just 202 notations. That little chart — https://81018.com/chart/ — requires much more work; nevertheless, it is a start.

Finite-Infinite. When we envision the universe in all that we do, our encapsulated finite universe begs the question about the infinite. One of the first ways we begin to know about the infinite is through our never-ending, never-repeating universal constants beginning with pi (π).

Pi and the very nature of light are within the core that defines those Planck units.

The Beginning and the Perfections of a Sphere. The universal sphere is the first expression of physicality that remains outside the boundaries of measurement for as many as 64 doublings.  Here the perfections of continuity, symmetry and harmony define physical space. Here, there is a perfection within our physical world that is rendered as homogeneous and isotropic. Here is a domain forever and always beyond the reach of quantum indeterminacy and chaos theory.

And, here this finite-infinite relation creates a domain of perfection.8

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Afterthoughts.

Footnotes, endnotes, references and resources

1 E.P. Wigner Like those writings of Frank Wilczek about the Planck scale, once a professor receives a Nobel prize, the earlier writings take on a special significance. With this page and reference, I will start a new group of pages, Letters to those who ideas live on.  Of course, E.P. Wigner and other key Nobel Laureates will be among those to whom I write. With the simple gift of pi (π), we construct a very different approach to the universe, yet one, given his writing within The Unreasonable Effectiveness of Mathematics in the Natural Sciences that I believe Wigner would approve.

2 Emma Haruka Iwao is a 2008 graduate of  the University of Tsukuba (Japan) and today works for Google in Seattle, Washington. She set up the systems within the Google cloud and her automated calculations began churning digits on September 22, 2018 and ran until January 21, 2019 when they symbolically stopped it at 31.4 trillion digits, way-way-way beyond the actual number, 31 trillion, 415 billion, 926 million, 535 thousand, 897. That’s just 14 units. Think of all the pages of zeroes that’s now follow. Let’s figure it out.**

3 Everything, everywhere, for all time: Not a “theory of everything ” but the mathematics for everything is further modified to be sure nothing is overlooked; “for all time everywhere” has been added just to start a debate. Once everything, everywhere, for all time is inscribed, can a theory be far behind?

4 Max Planck:  The initial Father of Quantum Physics, Max Planck was Einstein’s mentor and Germany’s foremost physicist after whom over 80 research institutes have been named. For his work on quantum theory, Planck became a Nobel Laureate in 1918, Einstein in 1921 and Niels Bohr in 1922.

5 Frank Wilczek: Picking up on Richard Feynman and Paul Dirac’s anxiety about fundamental constants and how the universe coheres, Frank Wilczek was driven to open his own search to understand the fundamentals of physics in a new way. His study and use of Planck’s constant led him to the dig through Planck’s own struggles with the basics 100 years earlier. Wilczek is among a very select group to re-kindle interest in basic units, natural units, and fundamental physical constants. Others, like John Barrow (Natural Units Before Planck, Quarterly Journal of the Royal Astronomical Society, Vol. 24, P. 24, 1983) and C. Alden Mead (UMinn), were earlier adopters. In 1959, Mead wrote an article to build a case that Planck length and time are fundamental units. That work was largely rejected (C. Alden Mead: Observable Consequences of Fundamental-Length Hypotheses, Physical Review, N4, March 25, 1966, p.990-1005, doi:10.1103 / PhysRev.143.990). It is interesting to note that in 1989 Mead became a fellow of the American Physical Society and in 2012 he was awarded the Wigner medal.

6 Freeman Dyson: I visited with Freeman Dyson in 1979 at the Institute for Advanced Studies, just down the street from Princeton. At that time he was considered the sage of IAS, a collaborator with Einstein and an insider on the Manhattan project.

His legendary status continued to grow up right up until his death on Friday, February 28, 2020.

7 Weltanschauung.  There is a fair amount of confusion around the  concept of a Weltanschauung (Wikipedia). Four categories — postpositivism, constructivism, advocacy/participatory, and pragmatism — are the four classic worldviews. Others ascribe seven different categories: Theism, Atheism, Pantheism, Panentheism, Deism, Finite Godism, and Polytheism. One group is from the perspective of the finite and the later from the infinite. None have an integrated, mathematical view of the universe. And, each position is held by various groups of self-assured people throughout the world. It is no wonder why we are so contentious, confused, and on edge.

8 Domain of perfection. Today we would say that this domain will be primarily under the 64th notation. Here, perhaps the scholars among Langlands programs, string theory, and loop quantum gravity research will have the best possible insights to localize and specify the functionalities within each domain or notation. Also, applicable is the 2007 work of Howard Georgi within his concepts of “Unparticle Physics.”

pentastar250
Five tetrahedrons, dubbed a pentastar, and that  little gap, just above,  the beginning of quantum fluctuations.

Imperfection. The pentastar, Pentakis dodecahedron, and icosahedron use the same simple combinations of basic geometries. Logic tells us that that our opportunistic universe would have manifest the most simple within very earliest notations. These are very basic  geometric figures. With just five tetrahedrons, sharing that edge at the centerpoint, if the faces remain exact, there is a gap between them. If not, there are “stretched” angles and faces. Yet, if that gap is not part of a larger system, there is no possibility that quantum fluctuations begin. We project that it is only within actual systems, projected to be between Notations-50 and Notation-64 is where those gaps actually become fluctuations and that indeterminacy (and unpredictability, uncomputability and undecidability) become an operational modality.

Also, I believe consciousness and sleep will find a variable place within these domains from Notation-1 to Notation-64. 

Of course, there is more work to come…

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Closely-associated with other homepages, this article will continue to be updated.

Among a few of the related are Twelve Formulas (Aug 2019 and Feb. 2020),  Transformation (Aug. 2019), Bottom-up (Sept. 2019), Map the Universe (Oct. 2019), Finite-Infinite  Bridge (Nov. 2019), Our young, cosmological model (Dec. 2019),  A Simple View (Jan. 2020),  Claims (Feb. 2020) and Imperfections (March 2020).


This page was initiated on 12 February 2020
First homepage date: 24 February 2020
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Last edit: Thursday, March 19, 2020 

* The New Day In Tarawa, Kiribati, not far from date line, close to the equator, here it becomes “the next day” at Noon in London and 8 AM in New York City.

** How many characters on an 8.5×11 inch page?

First, how many characters across? Can we agree on 75? How many lines down? Can we agree on 52? That would give us about 3900 characters per page.

0123456789012345678901234567890123456789012345678901234567890123456789012345  13900 characters per page
2
3
4
5
6
7
8
9
0
1
2
3
4
5
(just 16 down)
…  and so on. Yes, about 75 characters across and 52 characters down or 3900 characters per page out of 31,415,926,535,897 (31415926535897) is a book of about 8,055,365,778 or just over 8 billion pages.


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