###### Center for Perfection Studies • The Big Board–Little Universe Project • Everywhere • 2017 •

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# On the Nature of Space and Time

Bruce E. Camber*

Center for Perfection Studies

First time as a homepage: July 4, 2017**

#### Abstract

A framework to define the initial conditions of the universe starts with the Planck base units of length, time, mass and charge. It employs multiplication by 2 and defines a natural inflation from the Planck units to the Age of the Universe within just 202 doublings. Recognizing the initial role of pi as the beginning of the basic mathematics, each new prime introduces a natural progression of mathematical complexity and systems throughout all these doublings that inscribe our universe.

### I. Introduction

The Planck base units were conceived by Max Planck in 1899 and were first published in 1906. Ignored by most scholars for about 100 years, Frank Wilczek (MIT, Nobel laureate 2004) published a series of three articles in 2001 in *Physics Today, Scaling Mt. Planck I, II, III, *that pulled them out of obscurity and into discussions within the general academic enterprise.

In December 2011 in the process of following embedded geometries within simple structures, the question was asked, “How far within can we go?” The Planck base units were introduced and it became a simple mathematical and geometrical goal of the high school classes. Within just 45 divisions by 2, the CERN-scale was in views. In another 67 steps, the class was down within the Planck scale. Again, using the power of 2, multiplying the two objects, in just 90 steps, a simple framework for the universe was complete. A chart was developed that followed just the Planck Length (FIG. 1a. Four charts – below). There were just 202 notations in total.

The first 67 notations presented an immediate challenge. The question was asked, “What could be in there?” Too small for fundamental particles as understood today, generalized guesses were made by looking through the history of scholarship. The next chart to emerge was called the Universe Table (FIG. 1b. Four charts).

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* email: camber@81018.org

^{** }First Draft, July 4, 2017

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By 2015 the initial chart had been expanded to include Planck Time, Mass, and Charge (FIG. 1c. Four charts). Recognizing that Planck Temperature had been conceptually engaged as a footing of the big bang theory, it was given an “odd duck” status within this emergent model. It did not meet the “simplicity” requirement. It was too difficult to understand. Of all the many great scholars who have appealed for simplicity, one statement by John Wheeler became penultimate: “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?” So, the first idea for this odd duck was simply to reverse order it. It would approach absolute zero degrees Kelvin, but never reach it. It was placed in notation 203, several billion years away, giving us some time to figure it out.

In April 2016, the long vertical chart was revamped as a horizontally-scrolled chart (FIG. 1d. Four charts). It was easier to follow the logic of the numbers. And these charts became the initial framework for our study of the universe.

**II. LOGIC**

Assigned the objective to construct a universe from scratch, an assumption was that a logic for that construction might be discerned within the simplest, but most ubiquitous concept within pure mathematics. The simple circle and sphere logically seemed to fit that criteria.

Another assumption was that the universe was finite and that the mathematics for infinities were real. The non-ending, non-repeating numbers, pi being the motherload, seemed to establish a bridge to a certain kind of infinity. It was enough to start. Then, all the dimensionless constants and those never-ending, never repeating incommensurables, imaginary numbers, and transcendentals were taken to be bridges between the finite and infinite. So, the continuum was not abandoned and the discrete structure of spacetime became readied for examination.

Further, the first part of Planck’s equation to compute Planck Time was applied to each notation and that value within each notation approximated the speed of light. It was a variable and light was redefined well beyond the visible light spectrum. Space and time were uniquely derivative of light within each notation.

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That bridge again widen with all the definitions of the Planck base units. Every facet of these equations is considered part of the variegation that defines the bridge. Thus the concept of a singularity within finite space-time has been rejected.

Instantons, gravitons, supergravity, and other illusive concepts within science were also understood to be part of the finite-infinite bridge. Ostensibly the bridge became our catchall for anything science did not fully understand.

This outline of the universe, therefor, seemed to require a redefinition of time and space that made each uniquely local by notation. In this emergent model each notation was actively involved with the current definition of this universe and every notation shared in an active definition of every other notation.

This model would require an additional extension of our understanding of a field. The first 67 notations were scalar fields of a different order. Here there were possibilities for very deep perfections — continuities, symmetries, and harmonies.

**III. FIELDS**

Adding to the ways we understand the nature of fields today — scalar fields, vector fields, spinor fields and tensor fields (including gravitation fields, electromagnetic fields) – would now be as many as 67 notations whereby each manifestation of a field could be perfected and then reach across the other notations as a perfected state within each space-time container.

**IV. ANALYSIS**

Although we have been looking at this most simple model of the universe since December 2011, it has taken this long to get comfortable enough with the implications of this work to put it out in the public square. Many articles (below) have danced around this logic and the results.

In order to organize all mathematics and geometry and ordering system from the most simple to the most complex was initiated. The simple formula for pi opens close-packing of equal spheres which opens simple Euclidean geometries (see Lattice generation). Three articles currently being developed continues and analysis of this mathematical progression, each originating within a notation defined by a prime number.

We have asked the best of the best for their comments and have received virtually none. At first it was thought that it was too juvenile to even warrant a response. Then it is becoming evident that it was really too different and too simple and too disruptive to warrant a response. So, this article is placed in the public square to beg for a response. Why is it right? Why is it wrong?

### Work continues with this homepage and three working papers:

*• Measuring an Expanding Universe Using Planck Units (first draft, but still in process)*

• The Thrust of the Universe: What is it? (*first draft, but still in progress*)

*• Visualizing the Universe* *(a work in progress)*

Your comments and questions are invited.

**Figure 1**: Four views of the key charts

1a. December 2011 Chart of the Planck Length to the Observable Universe

1b. 2012 Chart of the Human Scale Universe

1c. 2015 Vertically-scrolled Chart of the Universe from Notation 1 to 202

1d. 2016 Horizontally-scrolled Chart of the Universe from Notation 1 to 202

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## People ask, “Why haven’t we seen this model until now?

**Planck Units**: The four Planck base units were “…properties of nature and not from any human construct.” Yet, these Planck numbers did not command basic respect across the entire scientific community. Not until Wilczek’s (MIT, Nobel laureate 2004) wrote a series of three articles for *Physics Today*, *Scaling Mt. Planck*, did I, II, III, these Planck units begin to move beyond numerology into wide-scale acceptability.

By that time, the big bang theory had gained the high ground. Nobody thought to follow simple nested or combinatorial geometries back to the Planck Length. Nobody thought to multiply the Planck units by 2. It took a huge amount of *naïveté* and almost no knowledge of cosmological models to bias one’s point of view. It also required discounting our commonsense view promulgated by Isaac Newton that space and time are absolute. In so doing, a more relational model as suggested in 1715 by Leibniz was entertained and the model followed the raw numbers.

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## What Have We Done Since December 2011?

**Navigation**: The **boldface** entries will keep you within 81018.com. If you happen to find yourself on an unusual URL and want to return to the originating page, please use your “back arrow” button. Thank you.

**2011 (December) Big Board – little universe****2012 (January) Early Reflections****2012 (September) First-Draft Article**: Planck Length and Planck Time**2015 (August) Analysis**: A Simple View of the Universe**2015 (September) Analysis of the Chart of the Five Planck Base Units****2016 (December): Simple Math-And-Logic Render An Integrated Model of the Universe****67 Notations of the Small-Scale Universe**: Are these among the key missing links?**81018**: Horizontally scrolled chart from the Planck Scale to the Age of the Universe**Analysis (September 2012)****Architecture for Integrative Systems**: 1979 Display Project at MIT**Architecture for Integrative Systems: The Scholars****Belief Systems**: Just what are we to believe about anything?**Big Bang Theory**: (1) Analysis (2) Burst the Bubble (3)**Flooding it**(4) Questions (5) Turok: It’s wrong.”**Big Bang Earliest Questions**: Did A Quiet Expansion Precede The Big Bang?**Camber, Bruce**: Intro and Timeline**Chart**: The most recently updated, a horizontally-scrolled chart**Chart (vertical) of the Five Planck Base Units**: From the 202nd notation down to 1.**Charts**(four primary charts and lists)**Chaos-and-order and Order-and-Chaos**: Non-repeating, never ending numbers**Dark Matter, Dark Energy**, Cosmology and the Large-scale universe (November 2015)**Entrepreneurs of Outer Space**: Allen, Bezos, Branson, Musk**Ethics**: Where is the Good in Science, Business, and Religion?**Fifteen Key Questions**: About the Universe and Us**Finite & Infinite (homepage)**.**The first look**.**A second look.****Formula**1: Light is equal to Planck Length divided by Planck Time**Foundations of foundations****Freeman Dyson**: Guiding Light**Help. Participate. Initiate.****Historical Sketch**: A Secret Door To A New Universe Of Knowledge**History:**What Did We Ever Do Without Our Universe View?**Homepages**: An evolving list from September 201**6****Model:**Could this fledgling model of the universe be useful?**NASA scientist’s report**(regarding his calculations for us on May 14, 2012)**Natural Inflation and the Thrust of the Universe****Notations 1-202**- Notations 80 down to 66
**Numbers**: On Constructing the Universe From Scratch**Order In The Universe**: Continuity and Symmetry**Paradigms, foundations, first principles, universals and constants****Pi: 3.1415926535897932384626433832795028…****Planck Length to the Observable Universe****Planck Length: What Is It?****Planck Time to the Age of the Universe****Quiet Expansion**: Do the dynamics deflate the big bang theory?**Quiet Expansion challenges the Big Bang (June 2016)**(September 2014)*Quiet Expansion Precede Big Bang?***Scholars, scientists, and other thought leaders****Seconds:**Day, Year, and Until this Moment**Simple View of the Universe****Simplicity**: Just how simple is it?**Small Scale Universe**: Notations 1-67**Space**and Time: Derivative, Discrete, Finite, and Quantized**Speculations**& Working Articles- Speed of Light NOT Yet Confirmed With Planck Units and Base-2 Notation
- Student’s Science Fair Project
- Summary (January 2012: The very first overview of this work
**Tetrahedrons & Octahedrons****Thrust of the Universe****Tiling and Tessellating the Universe**: A Great Chain of Being**Top Ten Reasons for The Big Board – little universe Project**- Two shoes: A review of where we were in July 2016
**Universe Clock**: Day, Year, and Until this Moment:**Universe Table**: The Human Scale**Values**: Introductory Chart for Natural Values (June 2014)**We Are Family**: The apron, created in 1992, is an excellent tool to learn base-2.**Welcome: Help. Participate. Initiate.****Wikipedia Article**(2012): Accepted And Then Rejected- Wrong: There is a possibility