to be re-written by Bryce Estes
Welcome back again.. You have completed an initial exploration of the Big Board -little universe and its Universe Table. As a result of living with work since December 2011, many of us can actually feel the effects of having a simple, yet highly-ordered view of the universe. The smallest possible measurement of a length, the Planck Length. is beginning to come alive. We believe it will be the next “big thing.” And, at the other end of the spectrum, the Observable Universe and all of astrophysics and cosmology do not seems as remote and detached from our daily living. Our imaginations are working overtime. There is nothing in this world and universe that are not interesting and not related i9n some manner of speaking.
These are the best times of our life. There are now three initiatives that have developed. One is with Bruce Camber and his work within small business. He believes this simple model of the universe can impact their work and inspire them to see things more holistically. And based on that, he speculates that they can become even more productive and creative within their enterprises and beyond. He has also begun work with colleges and universities around the world as well as with the National Science Fair program to get more students involved in thinking through this model. That is where Bryce Estes comes in. He is one of the original group of high school students who were in that class on December 19, 2011. He came up after class and said that he wanted to learn more. Now as a high school senior, he is pushing this project through within the context of the National Science Fair.
Five conclusions are all areas for development: As you learned from the first tour, our hypothesis is that those who balance their views with a strong worldview and a truly integrated universe view will become among the most optimistic, creative and productive.
From the first tour we have initially concluded that there are five general areas for further research, study, and development. Today’s tour will take you through those five, but first, would you please take that quick, simple survey again? It has not changed much, so your comments and views are most important to us. On the right, you is the big green arrow. Just click on it to go to that survey.
Notes about Look-and-Feel and Navigation: Links from the headers below the line go to the Index page. If any of the letters from right column, particularly the words, Archives and Meta, are bleeding through the image of the Universe Table, please open your window larger (possibly to full screen). If the header for this page is in more than two lines, you also need to open your window a little larger. If you came back here after completing the survey, please click on the pink arrow on the right to go on the tour of the Big Board-little universe.
Footnotes: On every page there are references and more notes about the how these charts came to be.
This project began when we looked inside a tetrahedron and octahedron (two of the most basic geometric figures).1 Think of the embedded Russian (matryoshka) dolls. Usually there are no more than ten. Yet, here inside each tetrahedron there are four half-size tetrahedrons and an octahedron. Inside the octahedron are six half-sized octahedrons and eight tetrahedrons all sharing a common centerpoint and many common edges. It would seem that one could just kept going forever. Yet eventually you will reach the Planck length and can go no further. To standardize our study, we started at the Planck Length and multiplied it by 2 until we were at the Observable Universe. We were surprised to discover only 202-to-206 notations (or steps or layers or doublings) to go from the smallest to the largest measurements of a length.
1 All tetrahedrons and octahedrons have that interior perfection described just above. It appears that these basic objects transform dynamically in ways that capture basic processes within nature. Over the years we will be doing the work to explore these transformations, however, there is a website to learn more about such transformations today: http://loki3.com/poly/transforms.html
TOUR #1. NEEDS EDITING. BENEFITS STATEMENT
REGARDING PRODUCTIVITY, INSIGHT AND OPTIMISM.
The universe is mathematically very small.
Using base-2 exponential notation from the Planck Length
to the Observable Universe, there are somewhere over 202.34
and under 205.11 notations, steps or doublings. NASA’s Joe Kolecki
helped us with the first calculation and JP Luminet (Paris Observatory)
with the second. Our work began in our high school geometry
classes when we started with a tetrahedron and divided the edges
by 2 finding the octahedron in the middle and four tetrahedrons
in each corner. Then dividing the octahedron we found
the eight tetrahedron in each face and the six octahedron
in each corner. We kept going inside until we found the Planck Length.
We then multiplied by 2 out to the Observable Universe. Then it
was easy to standardize the measurements by just multiplying
the Planck Length by 2. In somewhere under 205.11 notations we go
from the smallest to the largest possible measurements of a length.
Key references for more: http://doublings.wordpress.com/2013/07/09/1/
TOUR #2. The very small scale universe is amazingly complex.
Assuming the Planck Length is a singularity of one vertex, consider
the expansion of vertices. By the 60th notation, of course, there are
over a quintillion vertices and at 61st notation well over 2 quintillion more
vertices. Yet, it must start most simply and here we believe the work
within cellular automaton and the principles of computational equivalence
could have a great impact. It’s mathematics of the most simple. We also
believe A.N. Whithead’s point-free geometries should have applicability.
Key references for more: http://doublings.wordpress.com/2013/04/17/60/
TOUR #3. This little universe is readily tiled by the simplest structure.
The universe can be simply and readily tiled with the four hexagonal plates
within the octahedron and by the tetrahedral-octahedral-tetrahedral chains.
Key references for more: http://bigboardlittleuniverse.wordpress.com/2013/03/29/first/
TOUR #4. And, the universe is delightfully imperfect.
In 1959, Frank/Kaspers discerned the 7.38 degree gap with a simple
construction of five tetrahedrons (seven vertices) looking a lot like the Chrysler
logo. As I said in the restaurant, we have several icosahedron models with its
20 tetrahedrons and call squishy geometry. We also call it quantum geometry
(just in our high school) and we guess, “Perhaps here is the opening to randomness.”
Key references for more: YET TO BE WRITTEN
Future tours: The Planck Length as the next big thing.
Within computational automata we might just find the early rules
that generate the infrastructures for things. Given your fermions and proton
do not show up until the 66th notation or doubling, what are we to do with those