Key Insight #4: 

The universe may very well be exponential.

The mathematics of Leonhard Euler (1707-1783) applies.

by bruce camber (October 2018)

Follow the numbers. There are many people who have asked the question, “Is the universe exponential?”  Not many are ready to say that it is.  Most have not see the base-2 application of the Planck base units to the age and size of the universe, nor have they compared those numbers to the current Standard Model for cosmology. In October 2018, there were over 400,000 references on the web  when the question was asked, “Is the universe exponential?” Even with Boole’s delimiters, only a few actually address the question. Most are simply an analysis of some element within the topic of exponential notation and some venture into the question about its relation to the universe.

We have a new concept to test so we are attempting to find analogues, parts of this puzzle that may have solved by others. Euler’s work is respected. It is ground-breaking. It seems appropriate that his work on exponential relations be pulled out of the bank. Where Euler’s most-beautiful equation, according to Richard Feynman, was mostly reduced to compound interest, our charts tell us, “The universe is exponential.”

We believe our chart.

Follow look at the numbers.

Though over time, we will examine most of those 400 thousand references, especially any that make a claim that the universe is exponential. The third reference posted within that list of 400 thousand was one of our three pages (to date) that begin to address this subject:

We will follow up with an expert on Euler. His primary reference is here:

Click to access HEDI-2010-01.pdf

He is Ed Sandifer, a Professor of Mathematics at Western Connecticut State University in Danbury, CT. He is Secretary of The Euler Society (  His first book, The Early Mathematics of Leonhard Euler, was published by the MAA in December 2006, as part of the celebrations of Euler’s tercentennial in 2007. The MAA published a collection of forty How Euler Did It columns in June 2007.

Return to the overview, the source document of twelve key insights