Hartle, James B.

James B. Hartle

Google Scholar

First email: Monday, March 19, 2018 @ 12:46 PM

Dear Prof. Dr. James B. Hartle:

Our work started in a high school geometry class in December 2011, so I apologize in advance for our naiveté, especially my own.

We started with what we’ve call a tetrahedral-octahedral couplet (Numbers, page 5) and went inside each back to the Planck Length. It took 114 steps by dividing the two objects by 2. For consistency, we then started with the Planck Length and multiplied by 2 all the out to the Observable Universe. It required a total of 202 steps. In 2014 we added Planck Time and in 2016 we added Planck Mass and Planck Charge.

Our horizontally scrolled chart is here: https://81018.com/chart

It is fascinating to watch the progression from these Planck base units. It has a very special logic and flow.

Of course, the Planck units did not get too much attention until Frank Wilczek’s three articles, Scaling Mt. Planck, in 2001 in Physics Today. Starting the universe with infinitesimals of space, time, mass and charge, of course, is not quite a singularity. Plus, there are the 31 dimensionless constants and so many formulas at work. We have so many questions.

First, would you encourage our continued work? Any advice will be cherished given your deep history and knowledge.  Thank you.

Most sincerely,


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