We even introduced it to our advanced 6th grade science students. Essentially we mapped the universe using base-2. It nets out as 202 base-2 notations from the Planck scale to the current age and size of the universe.
It is really neat, but we slowly discovered that it is totally idiosyncratic.
When our seniors who graduated that year came back for a holiday visit, I finally realized how out of sync we were. We were flying in the face of current cosmological and Standard Model theories. I quietly asked myself, “Our model is just simple math and geometry. What’s going on?”
It has taken a few years but I believe this is where we fall out of line:
1. We redefine the infinite and infinity. Most definitions are laced with historic sentiments. We asked, “From where do all our dimensionless constants like pi come?” Pi seems to be the penultimate, so we stopped there and allowed pi to give us our initial definition of the fundamental qualities of the infinite and infinity. These are:
1a. Continuity is our first facet of infinity. It is the very nature of order. Within the finite it looks like a string of numbers and feels like time and is quantitative. That comes right out of pi.
1b. Symmetry is the second facet of infinity. It looks like geometries and it is the very nature of a relation and within the finite it feels like space. Yes, that comes right out of pi as well.
1c. Harmony is the third facet of infinity. It is the very nature of dynamics; and within the finite, it is always cyclical (periodicity)and is experienced as a space-time moment. Yes, pi’s numbers, geometries and equations are within an eternal dance.
2. A simple, highly-integrated, mathematical model of the Universe. We unwittingly started such a thing in 2011. It didn’t get too much attention. Very early on, we discovered Kees Boeke’s base-10 model. We liked ours more because it had a bit more granularity — https://81018.com/home/
3. A better articulation of the first second of the universe. James Peebles, Stephen Weinberg, and the “first three seconds” scholars can open a whole new range of questions for students to answer. These precious people need to understand that the most important questions about our universe still remain wide open. They have every opportunity to discover new answers that change our perspectives about everything including space and time and who we are.
I so agree with your mission statement that we all should “…thrive and reach our highest potential as problem solvers and lifelong learners who pursue our passions and tackle the world’s toughest challenges.”
Might we talk be able to talk on the telephone about our efforts over the years?