Rudolf Schild, Ph.D.
Editor-in-Chief and Executive Editor, Astronomy, Astrophysics
Harvard-Smithsonian Center for Astrophysics
Dear Prof. Dr. Schild:
Nobody could ever accuse you of being timid! The Journal of Cosmology, just introduced to me today by a friend on the faculty of University of Houston, has boldly gone where others would fear to tread. Congratulations. Fascinating.
My friend said that I should write a cosmology article for you. My response: “They’d have to reject it. The idiosyncratic is the idiosyncratic.” He replied, “No one knows what they don’t know.”
In 2011, our high school geometry class discovered a seemingly infinite regression going inside the tetrahedron-and octahedron Within the tetrahedron, dividing each edge in half, are four half-sized tetrahedrons and an octahedron. Inside the octahedron, dividing each edge in half and connecting those new vertices, there are six half-sized octahedrons in each corner and a tetrahedron in each of the eight faces.
How far within can we go? Where did Zeno stop? Where would Max Planck stop?
We had fun mapping the universe using base-2 notation. We were quite surprised to find there were less than 40 steps within to get down to the size of particle physics and just another 67 steps within to get down to the Planck scale. The next day we multiplied by two. In about 100 steps we were out to the Observable Universe. We didn’t know what we didn’t know.
We looked around for it on the web. We found Kees Boeke’s base-10 work, but no base-2. We kept looking for almost a year and found bits and pieces, but no map of the universe using base-2 with its very special granularity. For the past five years we continued poking at our map. We added Planck Time, then the other Planck base units and said, “Voila. A map of the universe!”
There was no applause. “So, what do we have to do now?” Sell it? “Yes, sell it. Write articles. Get peer reviewed,” said my professor friends.
I am glad to write up an article, A Base-2 Map of the Universe. Totally predictive, this map is 100% simple mathematics but it tells a radically different story about the universe. Starting with the Planck base units and all the constants that define each, this “singularity” is more like “alphabet-and-number soup” it has so many equations defining it. It naturally inflates and at the appropriate notations encapsulates the epochs of the big bang without the bang. Inflation is all natural.
It is a bit much to swallow; it is altogether too simple; and hardly anybody has truly wrestled with it.
If I were to write it up as succinctly as possible, would you have any interest in taking a look? Our most-recent writing about it all is here: http://81018.com
PS. I grew up across the alley from old Quonset huts that were in the footprint of what would become the Harvard William James building. Long, long ago I’ve even listened to Weinberg talk about his first three minutes up the hill on Garden at your CfA (the first second is the most important). I was also part of Arthur Loeb’s Philomorphs and I studied a bit with Arthur McGill, particularly focused on Austin Farrer’s book, The Finite and The Infinite.