# Defining Forms from Plato to Langlands

###### CENTER FOR PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY • GOALS • December 2017Homepages: Langlands I Langlands II|INFINITY|Inflation|KEYS|Original|REVIEW|Transformation

A SIMPLE CHART: A BASE-2 VIEW OF THE UNIVERSE

INFLUENCER: “Behnd it all is 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?” -John Wheeler, 1986, Princeton

# Number generation, the perfections of circles-and-spheres, formulas, and the nature of forms

###### by Bruce Camber

Austin, Texas:  In light of our horizontally-scrolled chart (image just above) and my intuitions about the Langlands programs, let’s open these subjects in the headline for further discussion and even debate. I envision no less than four postings or articles. For me these concepts have been enriched in light of base-2 notation starting at the Planck base units and going to the Age of the Universe. This chart encapsulates our universe within 202 exponential notations. [1] It creates a mathematically-integrated outline, a grid or matrix, within which to consider how the simple becomes the complex. The first ten notations out of the 202 should be keys and the Langlands programs just might give us the needed structure and logic.

“… nature is supposed to be simple and elegant, not complex and ugly.” – Nobel Prize website

# Our simple first principles

1. Everything starts simple before it can before complex.
2. Numbers create continuity and define order.
3. The circle and sphere are primary forms that define symmetry and create relations.
4. Never-ending, never-repeating numbers are the beginning of uniqueness and all dynamics, and these numbers begin to define infinite-to-finite relations.

# Analysis-Speculation

If you click on 81018 in the top navigation bar, you can go to the chart of 202 notations with all the figures doubling from the Planck Scale to the Age of the Universe.  The chart looks rather static. The doublings look static.  I don’t think anything is static. As I view it today, within that first notation, there is an endless stream of circles and sphere, edges touching, radius to radius, diameter to diameter, all their centerpoints somehow in the nexus of transformation between the finite and infinite —  all active, never-ending, creating a first layer of the fabric of the universe.

Every notation may well be a layer. Yes, I can now see this exquisitely fine layer of notation 1 surrounding all other layers and from which all layers emerge.

Here is the initial push of inflation coupled with Planck charge, constantly expanding. Yet, even as they emerge, each has the potential to be uniquely defined with one or more of the many inherent mathematical definitions within this nexus of transformation. The second doubling emerges from the first as clusters of spheres begin to create tetrahedrons. Remember this dynamic image that has been on many prior pages? [6]

There is more to come and updates of that which is already here!

# Endnotes

[1] All links to outside resources will be first discussed with these endnotes. Frequently used links to pages inside this account will often go directly to those pages without discussion. All other links will be first discussed within these endnotes. The chart is https://81018.com/chart

[2] Never-ending (also called non-terminating) and never-repeating numbers define a nature of infinity.  These are known through their relations and equations. We are just beginning this study and will look up all the resources we can find within academic circles and beyond.

##### For further study: (Many more to come)Priya Subramanian, Research Fellow Applied Mathematics, University of Leeds

[3] Physics and mathematics each have their own definition of a singularity. Neither is a commonsense definition of “just one” or a point; their singularities open to an infinity. The singularity defies a simple logic. Just look at all the activity in this transformation nexus between that which is defined as infinite and that which is defined as finite.

[4] The page on the emails to Frenkel has numerous references to his excellent book, Love & Math: https://81018.com/2013/10/13/frenkel/

[5] The page of emails to Robert Langlands has many references to his work since 1965: https://81018.com/langlands  And, Wikipedia has a rather in-depth study of Langlands; begin with https://en.wikipedia.org/wiki/Automorphic_form

[6] https://81018.com/reasons/#Tile is another page, the most recent, where this dynamic image was used. Another document is: https://81018.com/numbers/#Kepler

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