January 12, 2012 by Bruce Camber
Perhaps this work could be called, “From praxis-to-theoria.” This working project is dubbed, a Big Board for our little universe. This page is part of a high school geometry class project to use base-2 exponential notation (praxis) whereby the entire universe, from the smallest measurement (Planck length) to the largest (the Observable Universe), is represented in 201+ steps. This project started as a result of studying nested platonic solids. So from the very first notation, every point is seen as a vertex for constructions. From a point to a line to a triangle, then a tetrahedron, octahedron, icosahedron, cube and dodecahedron, form-and-function builds upon itself and within itself. The board’s many blank lines will be filled with facts or conjectures (ideas and concepts, also known as theoria). Eventually real data will be added. The original was created in just a week (December 12-19, 2011). This article was introduced here in January 2012. It was then updated to include Version 184.108.40.206 of the board, posted on Saturday, September 15, 2012, however, it is still being updated and will be for a long time to come. Each notation is to be linked to some of the best research scholars within a discipline that studies things within the range of lengths with each notation.
So, a warm welcome to you… this page provides access to a work-in-progress. Friends and family were the first to be invited to begin a critical review. Now, friends of friends are also being invited! The hope is that the project will be validated in its scope and logic. If the logic and scope are invalidated, the results of that process will be fully reported and analyzed. Is the Planck length the right place to start? Can a dimensionful number be multiplied by 2? What are the constants? Why are universals universal? To open these questions to discussion, more high school students will be invited to think about this model as a relatively simple way to organize information. College students, graduate students, doctoral candidates, and post-docs will be invited to consider how base-2 exponential notation — praxis — can become the basis for theoria. Everyone is invited to consider if and how these concepts might be integrated within their own.
Here are links to key working pages for the big board:
• Our first Big Board and today’s Big Board
• Working edition of the Big Board
• Overview of some of the key ideas
• Working Draft about the unfolding of the key ideas
• An article posted-then rejected by Wikipedia editors
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1. Base-2 exponential notation (begins at a Planck length)
2. Planck Numbers, 1 to 202.34 (plus a few for a fudge factor) More… Information about Logging In and Security
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Summary description of this page: An introduction to collaborative research of an indexed model of the universe using base-2 exponential notation starting at the Planck Length (PN1 uses the concept of a Planck Number – PN), to the edge of the observable universe (PN 201+).
The small-scale universe: PN1 to PN67
The human-scale universe: PN67 to PN135
The large-scale universe: PN135 to PN202+
Research: Granularity of base-2 exponential notation Base-2 versus base-10, Planck numbers 0-to-202.34, Planck length, platonic solids – tetrahedron, octahedron, dodecahedron, icosahedron, hexahedron, Pentakis or cumulated dodecahedron. Big Board little universe
Print Versions: BB-lu Page 1, P2, P3, P4, P5, P6, and P7.