If you think about it, most of the world’s people have never heard of the Big Bang theory (Reference 1) (the cosmological model, not the TV series). Of those who know something about it, a few of us are somewhat dubious, “How can the entire physical universe have originated from a single point about 13.8 billion years ago?” It seems incomplete, like there are major missing parts of the story.
To open a dialogue about this pivotal scientific theory is the reason for this article. And, if we are successful, all of us will have re-engaged our ninth grade geometry classes and we will begin to ask a series of “what if” questions about the origins of this unvierse.
Some of you are aware of the work of our high school geometry classes (Reference 2) and our developing models within the Big Board-little universe (Reference 3). Possibly you even know a little about the 205.1 base-2 exponential notations from the Planck Length to the Observable Universe. It is a study that informally began on December 19, 2011, so most of us have only begun to explore the inner workings of each of the 205.1 notations. Because we believe all things start most simply, the first 60+ notations are potential keys for understanding. Also, these notations per se have not yet been studied by our academic communities (Reference 4). The best guess at this time is that the range of our elementary or fundamental particles begins within the 64th and 65th notations.
This little article is an attempt to enlist you and some of our best academic thinkers, especially the best geometers among them, to look at those first 60+ notations. What kinds of what-if questions could we ask? Can we speculate about how geometries could grow from that 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, well prior to the Big Bang, there is a complexification of geometries?? Might we might 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.
Special versions of both models are being prepared. Within the Big Board-little universe, those first 60+ notations will be highlighted. Also, a special version of the Universe Table will be created to emphasize every notation from 1 to 65. And, with this article, we will initiate a base-2 exponential notation of time from the Planck Time. Some of that work has been recently done within the 2014 book, Time in Powers of Ten, Natural Phenomena and Their Timescales, by Gerard ‘t Hooft and Stefan Vandoren of Utrecht University (Reference 6). Plus, there are an abundance of very informative articles from all the research since the concept was proposed in 1927 by Georges Lemaitre.
Steven Weinberg, the author of The First Three Minutes (Reference 7), 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 will be no less than seven days, maybe ten years, maybe a millennium when compared to the Planck Time (Reference 8).
We’ll see what the numbers tell us.
A lot of pre-structuring 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 Board-little universe model within what we call “the really-real 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 join us, drop me a quick note (camber-at-81018.com). Thanks.
2 A LinkedIn blog page entitled, “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.
4 This LinkIn blog page 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 re-released right here.
5 This WordPress page was a result of a debate within Wikipedia about the importance of base-2 exponential notation. They rejected the original article as original research. We thought that judgment was just a bit premature.
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.
9 A WordPress article about very small and very big numbers. There is our initial discussion about the first 65 notations. The range with which we will be working is from the Big Bang at about 10 seconds (13.78+ billion years) to Planck time, 10[-44] seconds.
The TinyURL for this article: http://tinyurl.com/QuietExpansion
*homogeneous: Having the same property in one region as in every other region
isotropic: Having the same property in all directions.