# Paul Steinhardt

Princeton University

Princeton, New Jersey

Articles/books

ArXiv (over 108 articles)

Homepage

Twitter: PrincetonPhysics

Wikipedia

YouTube: *The Myth of Inflation*, *A New Kind Of Matter* (March 2019) and dozens more

References to Steinhard’s work within this website:

First email: Wednesday, January 14, 2015, 3:55 PM

Dear Prof. Dr. Paul Steinhardt:

I came upon references to your work within the Kavli Foundation pages and then began reading about the breadth of your work on your own Princeton homepage.

We are looking for a more variegated intellectual approach to our earliest universe. We have backed into this work by following simple geometries back to the Planck Length and then out to the Observable Universe. Our work is simple-simple (yes, possibly simplistic) and entirely idiosyncratic. Last month we added Planck Time to our base-2 progression and we are filled with questions.

Have you ever seen the simple compilations of the progressions from the Planck Length and Planck Time (using base-2 notation) to the Observable Universe and Age of the Universe respectively? Based on our initial observations, I think it is legitimate to raise questions about nature of space and time. We can guess. Although we have no conclusive answers, let me admit that we are a little prone to wild speculations and flights of the imagination.

Yet, as high school teachers and students — certainly not experts on the subject by any stretch of the imagination — we still had the audacity last September to begin asking questions. It may all just be an overactive imagination based on simplistic logic. Perhaps this challenge to our understanding of space and time is just too profound for us little folks with such little depth and background in cosmology and astrophysics.

I thought you at least would find such an unusual, rather idiosyncratic approach to these questions to be of some interest. If not, well, sorry to waste your time. However, if you feel that way, I have five classes of high school geometry students and this teacher who would be fascinated to know why.

Best wishes to you and your teams for 2015,

Bruce

New Orleans

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Bruce Camber, Mathematics, Geometry

PS. Given your work with quasicrystals and five-fold symmetries, you may also find this page about tilings and tessellations to be of some interest:

http://smallbusinessschool.org/page3003.html

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- The references to your work that I read today are linked above. We are now digging down further.
- Our “work” began in 2011 in a high school geometry class. That story is here: https://81018.com/home/
- This posting of the two progressions side-by-side was done in December 2014:
- 3. Earlier work from September 2014, mostly questions… one must start somewhere:
*Did A Quiet Expansion Precede A Big Bang?*