Dr. Christopher S. Baird
Second email: Tuesday, 3 December 2019 @ 4:15 AM
How very wonderful to hear from you! Thank you. Three cheers for UM-L professors and now West Texas A&M. Very, very fine.
The first question is, “Are the four Planck units the first logical moment of physical space and time?”
The next question is, “If yes, then has our chart — https://81018.com/chart/ — encapsulated everything, everywhere, for all time?” If not, why not?
It is all so simple to be silly!
First email: Tuesday, 3 December 2019 @ 8:10 AM (updated)
Dear Prof. Dr. Christopher S. Baird,
I grew up in the Lowell area… delivered newspapers for the Lowell Sun (1959-1961) and in the summer of ’68 was a cub reporter. In 2011, helping out my nephew and his five high school geometry classes, I introduced the Platonic solids. Our clear plastic tetrahedrons and octahedrons were particularly interesting. We built models to see how each were encapsulated perfectly within the other: https://81018.com/tot/
It was all straightforward until we asked Zeno’s question and started dividing by 2. We discovered within 45 steps we were down among the particles of physics and in 67 more steps we were at a Planck wall. We discovered Max Planck’s 1899 work and wondered if anything could get any smaller. The consensus seemed to suggest, given his dimensionless physical constants, we could not get smaller. We then multiplied by 2, doubling the edges of our two embedded objects, and in just 90 steps we were out within the estimated (Hubble) size of the universe. This total of 202 doublings to encapsulate the universe was profoundly intriguing. It seems like simple logical, but something was wrong.
We could not find any scholarly references to it.
The closest we came was Kees Boeke 1957 work in a Dutch high school; they used base-10. Over time we’ve talked to scholars who should know. Either we’ve struck gold or we’ve found fool’s gold.
Might you be able to help us? Thank you.