An introduction to infinity and the infinitesimals

Can we further define the two?

by Bruce Camber. April 3, 2020

Throughout history, the finite-infinite debate has been fraught with emotion between those who “believe” and those who do not. Those old debates are ignored here. How do we start with a clean slate, a tabula rasa? Are there what we might categorize as the most-simple concepts of infinity? Those who have worked within renormalization and regularization try to control the concept in terms of physics. These highly-technical descriptions of infinity have yielded concepts with highly-specialized language. Although some of that work will be engaged, our goal is to explore alternatives to Newton’s absolutes of space and time.

To start simply and modestly, the qualities of pi are analyzed. Within her sphere we begin to see much more. And then, her most basic qualities begin to shine through.

Then, turning to the classic studies of the electron defined as a point particle with a point charge and no spatial extent. The radius formula is:


Within our base-2 chart, this “point” particle falls within Notation 60. There are 60 doublings of the Planck scale numbers prior to reaching the size of a “point” particle. Denying this infinitesimal range seems a bit too sure that particles and waves are our fundamental building blocks with which to construct our universe. A key concept of this website is that the most simple sphere, a primordial sphere, is the most basic building block and that it immediately begins stacking and it is simple no longer.

Related pages: (2021)
This page is:

Also see: The Physics of Infinity, George FR Ellis, Krzyztof Meissener, Herman Nicoalai, Volume 14, August 2018, pp 770–772


Also Research:

Polariton condensates
Bose–Einstein condensate (BEC)

Paradigmatic shifts to engage the infinitesimal:
1. Calculations like Max Planck’s base units (or George Johnstone Stoney‘s) provide the small scale limits of physicality and of space-time. Although to date, these are symbolic numbers, each is close enough to create working models.
2. To begin to embrace the universe as a working whole, apply base-2 to the Planck units and the universe is encapsulated within 202 dynamic notations.
3. The first 64 notations are orders of magnitude smaller than any possible measurements with instrumentation. Here is a domain for mathematics and human logic alone.
4. The finite-infinite relations is known through the qualities evidenced within pi. It is dynamic and ever-present. The 202 notations build off of each other.
5. The only time is now. Only within the current notation, 202, is there the perception of past, present and future.

More to come