Because we believe all things start most simply, the first 60+ notations are potential keys for understanding a rather different model of our universe. These notations (also referred to as doublings, domains, clusters, groups, layers, and steps) have not yet been studied per se by our academic communities (Reference 4). The best guess at this time is that the range of our elementary or fundamental particles begins somewhere between the 60th and the 67th notations.
The simple mathematics (Reference 5) and the simple geometries are a given; the interpretation is wide open.
This little article is an attempt to engage people who are open to new ideas to look at those first 60+ notations. What kinds of whatif questions could we ask? Can we speculate about how geometries could grow from a singularity to a bewildering complex infrastructure within and throughout those first 60+ domains, doublings, layers, notations, and/or steps? What if in these very first steps, there is an ultrafine structure of our universe that begets the structure of physicality? What would a complexification of geometries give us? Might we call it a quiet expansion? Though we have always been open to suggestions, questions and criticisms, we are now also asking for your insight and help.
Updates of both models are being prepared whereby those first 60+ notations of the Big Boardlittle universe begin to get some projections to study and debate. Also, another version of the Universe Table (Reference 6) is in preparation to emphasize every notation from 1 to 65. Also, at the time this article was introduced, we initiated a chart of base2 exponential notations of time from the Planck Time to the Age of the Observable Universe sidebyside with our chart for the Planck Length to the Observable Universe. And, to make this study a bit more robust, we also projected a time to add the other three basic Planck Units  mass, electric charge and temperature. The veryfirst rough draft of that work was completed in February 2015.]
Big Bang Up. Most people start time with the Big Bang. Is there a possibility that there are events between Planck Time and the bang (or whatever sounds there were when things became physical somewhere between notations #63 to 67)?
In their 2014 book, Time in Powers of Ten, Natural Phenomena and Their Timescales, Gerard 't Hooft and Stefan Vandoren of Utrecht University (Reference 7), start at their study of the Big Bang at one second. A lot can happen in one second. There would have been as many as 44 base10 notations as many as 142 base2 notations. (or doublings, domains, clusters, groups, or steps). We are doing a fact check to see if these two authors say anything about those notations from Planck Time. It appears that they were unaware of such notations until we pointed them out to them.
The first time period of interest to us is the first 20± base10 notations which would be the first 67 base2 notations. What happens between the Planck Units and the emergence of the elementary particles? These are real durations in time. A lot can happen. We will be exploring this smallscale universe in much greater detail. By the 60th doubling there are quintillionsuponquintillions of vertices with which to create many possible models. Also, in light of the Big Bang, there is an abundance of information from all the years of research since the concept was first proposed in 1927 by Georges Lemaître.
Steven Weinberg, the author of The First Three Minutes (Reference 8), begins his journey through the origin of the universe at the 1/100th of a second mark. Our hypothesis is that we can mathematically go back to a much, much smaller duration. We believe that we should start at the Planck Time and multiply it by 2. And, just as the fermion within notation 66 would be the size of a small galaxy compared to the Planck Length, we anticipate that 1/100 of a second between notations 136 and 137 would represents a proportionately large gaps in time. Starting one's analysis so late misses key critical activities and correlations with the other four basic Planck Units (Reference 8b).
We've just started to see what the numbers can tell us.
A lot of prestructuring of the universe could be quietly happening within such a duration (1/100th of a second). Using our most metaphorical, speculative thinking, one could imagine that the actual event within those first sixty notations was a gentle, symphonic unfolding, fully homogeneous and isotropic. * Although we should embrace all the key elements of today's theory, we should also be constantly asking, "What kinds of geometries would be required within each of the first 60 notations to render these effects?"
Perhaps the universe and our future belong to the geometers.
So, this article is to empower all of us to find the best geometers around the world to engage the Big Boardlittle universe model within what we call "the reallyreal small scale universe." Of course, some of the work has already been done within the study of spheres, tilings, and combinatorial geometries.
If you would like to comment politely, please drop me a quick note (camberat81018.com). Thanks.
* homogeneous Having the same property in one region as in every other region
isotropic Having the same property in all directions.
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Endnotes, Footnotes, and References:
1 A Wikipedia summary of the basic Big Bang theory. As you will see within this Wikipedia article, the basic theory has been highly formulated with a fair amount of scientific evidence. If our rathernaïve, quaintlittle challenge to that model is ever to catch some traction, it will have to account for the results of every accepted scientific measurement about the Big Bang theory that has been thoroughly replicated.
2 Is There Order In The Universe? There are nine references within this article and each opens to a page that has been written since the first class on December 19, 2011.
3 This image of the Big Boardlittle universe is Version 2.0001.
4 This article is our very first attempt to provide a somewhat academic analysis of the work done to date. It was rejected by several academic journals so it was first released within WordPress, then the LinkedIn blog pages, and finally rereleased right here.
5 The debate within Wikipedia about the importance of base2 exponential notation resulted in their rejection of the original article. It was judged to be "original research." We thought that judgment was just a little silly. The concepts were all out there; these articles were just to organize that data.
6 A WordPress blog page for our emerging UniverseView.
7 This article about the book, Time in Powers of Ten by Gerard t'Hooft and Stefan Vandoren, is the most comprehensive that I could find at this time. If you happened to find a better review, please advise us.
8 An online version of the entire book, The First Three Minutes by Steven Weinberg. There are many reviews, yet this one provides a little counterweight. Weinberg also wrote the forward to Time in Powers of Ten. Gerard t'Hooft (1997) and Steven Weinberg (1979) are Nobel laureates.
The charts showing the correlations between Planck Units at the 136th and 137th notations is here.
9 A WordPress article about very small and very big numbers. There is our initial discussion about the first 65 notations.
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© 2016, Small Business School, Bruce Camber
About the author
In 1970 Bruce Camber began his initial studies of the 1935 EinsteinPodolskyRosen (EPR) thought experiment. In 1972 he was recruited by the Boston University School of Theology based on (1) his research of perfected states in spacetime through work within a think tank in Cambridge, Massachusetts, (2) his work within the Boston University Department of Physics, Boston Colloquium for the Philosophy of Science, and (3) his work with Arthur Loeb (Harvard) and the Philomorphs. With introductions by Victor Weisskopf (MIT) and Lew Kowarski (BU), he went to CERN on two occasions, primarily to discuss the EPR paradox with John Bell. In 1979, he coordinated a project at MIT with the World Council of Churches to explore shared first principles between the major academic disciplines represented by 77 peerselected, leadingliving scholars. In 1980 he spent a semester with Olivier Costa de Beauregard and JeanPierre Vigier at the Institut Henri Poincaré focusing on the EPR tests of Alain Aspect at the Orsaybased Institut d’Optique. In 1994, following the death of another mentor, David Bohm, Camber reengaged simple interior geometries based on several discussions with Bohm and his book, Fragmentation & Wholeness. In 1997 he had made molds made to produce thousands of the tetrahedron and octahedron. These are used in the models throughout these discussions. In 2002, he spent a day with John Conway at Princeton to discuss the simplicity of the interior parts of the tetrahedron and octahedron. In 2011, he challenged a high school geometry class to use base2 exponential notation to follow the interior structure of basic geometries from the Planck Length and to the edges of the Observable Universe.
