Worldviews are too small in light of our view of the universe.

Editor’s note: This page, started on October 21, 2021, is just a rough draft. -BEC

At one time, there were worldviews and then there was the Weltanschauung. That was truly a big and comprehensive worldview by folks like Sir Isaac Newton, Immanuel Kant, and their sort. Of course, a foreign language adds a bit of mysterium to a concept; notwithstanding, it is still dated and incomplete.

All of today’s worldviews need the rest of the universe to become complete. Many will say, “Silliness. How can you do that? If you have the world, you have the solar system, the Milky Way and everything else.” 

Not true. To have a system for thinking and for our thoughts, concepts, and ideas, it needs simple mathematics that can fully support every other kind of mathematics. It needs a simple starting point that can support all other starting points. It needs to unify our complex diversity of concepts and penetrate every silo of information.

The most-simple, ubiquitous starting point appears to be pi and its circle and sphere. Another starting point would seem to be the numbers that define the infinitesimal like the base units defined by Planck (1899) or Stoney (1874). Let us be aware that pi and its sphere also impute continuity-and-order within its never-ending, never-repeating, always changing, always the same, numbers. Hardly finite, it defines a face of infinity.  Combine the approximately 4000 year legacy of the circle, sphere and pi with the much shorter legacy of Planck, Stoney and others, and let us see what happens. 

Infinitesimal spheres: 539 tredecillion per second are created for the beginnings of a high-integrated view of our universe. It is a start! It’s also a new beginning. Apply base-2 notation, and we have the universe all within 202 notations. 

That’s a new playground especially for physics, mathematics, and  cosmology! 



1. Max Planck. Planck’s base units were virtually ignored for over 100 years. Frank Wilczek, an MIT physicist and 2004 Nobel Laureate wrote a series for Physics Today titled “Climbing Mt. Planck.” The concept of base units would begin to find its place within academia.
2. George Stoney. The concept of a natural unit appears to be birthed by an Irish physicist who has been overlooked by history. John Barrow tried lifting him into the light. His story is worth knowing.
3. Pi and its sphere are seriously under-valued today. The many faces of pi are our best clues about the faces of the infinite.
4. Continuity-and-order is one face. Two others include symmetries and relations and harmonies and dynamics. Taken together and the universe has a sense of value.
5. Infinitesimal spheres. A concept as old as time,  Lemaître incorporate it within his earliest cosmology. It takes on a very different patina here.
6. 539 tredecillion spheres per second:  Planck time carried out to the first second assumes one infinitesimal sphere per unit of Planck Time.
7. It is a start! And, logically, that primordial sphere is the smallest possible thing in the universe.
8. The Chart of 202 notations: Though it has been with us since December 2011, the analysis of this chart is still in its infancy.


Pi, spheres, circles: What Is Pi, and How Did It Originate? – Scientific American, Steven Bogart, May 17, 1999

Pi Day: History of Pi | Exploratorium, Pier 15, (Embarcadero at Green Street), San Francisco, 

Key dates for this document, weltanschauung