First email: April 18, 2018
Dear Prof. Dr. Pingwen Zing:
I have spent some time on your website and with your papers on ArXiv.
I know that you are over-qualified to render a judgment on our multiscale
modeling work using the Planck units to the age and size of the universe
within just 202 notations or doublings. The work is naive. It comes out
of a high school in the USA.
Please allow me to tell you the story.
In 2011 my nephew asked me to substitute in his high school geometry classes
in New Orleans. The students knew me as Uncle Bruce because in a few prior
encounters, I had them build geometric forms based on Plato’s solids. Here is
a sample of that work: https://81018.com/tot
On the last day of class before Christmas break, instead of serving milk and
cookies and reading stories, the students and I began developing
a scaling chart of the universe: https://81018.com/home/ The kids and I
were equally fascinated by our exploration of the universe’s relative
measurements at different scales.
In the high school, that single day turned into an ongoing odyssey of exploration
in Planck unit number relationships. Such scaling recalls a well-known book by Phylis and Phillip Morrison, Powers of Ten: About the Relative Size of Things in the Universe, but with a vital difference. We used the Planck base units to discover a systematic doubling
that goes on from scale to scale.
We have long been looking for a means to justify or explain this behavior.
It just might be a variant of the doubling phenomenon that occurs
in a discrete dynamical system: Period-doubling bifurcation (Wikipedia).
It seems to us that this doubling occurs as measurement moves
from scale to scale in the universe, but we do not find that observation
mentioned anywhere in your literature or the chaos theory literature.
If just taken as a given, could it indicate that the universe itself is
a continuous dynamical system?
The intriguing possibility suggested by our rather encompassing multiscale
chart has been endlessly fascinating to us… that the entire universe could
be encapsulated within the scaling bandwidth of 202 doublings!
Who would have ever thought….?
The Planck units were the ruler. The doublings were the measurement
that resulted. The goal was theoretically verifying the age and size
of the observable universe by a systematic exploration of these doublings.
Over the years, our exploratory website has burgeoned: https://81018.com/chart
Might you advise us? Where has our logic gone askew? If it hasn’t gone askew,
are we on to something? If so, we will need some serious coaching and
would hope that you might be able to help us a little.