# Pingwen Zhang

Peking University

Beijing, China

ArXiv: *Boundary problems for the fractional and tempered fractional operators*, 2017

CV & Google Citations

Research: *Mathematical analysis of multi-scale models of complex fluids *[PDF]

YouTube

Most recent email: February 1, 2019

Dear Prof. Dr. Pingwen Zhang:

We are relatively new to the study of multiscale modeling. Would you please advise us if it is appropriate to begin our model at the Planck scale and to apply a simple doubling mechanism (ostensibly base-2 exponential notation) to that scale? The results are endlessly fascinating to us, but we are afraid that we may be breaking some important rules of the discipline. In 202 notations we create a multiscale model that encompasses all of time in 202 notations and just might, given simple logic is logic, encompass all physical space as well. We are consulting with specialists around the world and would dearly appreciate your advice regarding multiscale modeling. Thank you.

Most sincerely,

Bruce

PS. Key pages within our website are as follows:

1. Our chart of numbers from the Planck scale: https://81018.com/chart

2. Our assumptions: https://81018.com/boundary/

3. Our interpretation of the first 64 notation: https://81018.com/dark/

4. Our start to redefine infinity: https://81018.com/infinity/

First email: April 18, 2018

Dear Prof. Dr. Pingwen Zhang:

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 base-2 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 & 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.

Most sincerely,

Bruce

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