# Paul J. Steinhardt

Princeton University

Princeton, New Jersey

Articles/books

ArXiv (over 108 articles)

Homepage

inSPIRE^{HEP}

Twitter: PrincetonPhysics

Wikipedia

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

References to Steinhardt’s work within this website:

https://81018.com/imperfections/

Most recent email: Thursday, 9 April 2020

Dear Prof. Dr. Paul Steinhardt:

Thank you for all you do to guide our students and our world’s scholarship. I have enjoyed coming to know you through your writings and videos. You challenge me on every turn!

Notwithstanding, our little idiosyncratic model has not been debunked, just categorized as “idiosyncratic” and it is. There are five of general assumptions from which this model emerged. These are as follows:

- The four Planck base units define the first moment of time.
- The infinitesimal sphere is the first expression of a physical thing.
- There is a natural inflation whereby sphere stacking and cubic-close packing of equal spheres creates structure and emergence.
- There is a finite-infinite relation and the infinite is defined, primarily as a result of discerning aspects of that sphere. It is: (a) continuity and it creates order and the face of time, (b) symmetry and it creates relations and the dimensions of space, and (c) harmony and it creates dynamics and a space-time moment. That is the sum total definition of the infinite (and infinity) and there is a constant working bridge between the finite and infinite.
- These spheres continue stacking and become an aether and natural inflation. There are just 202 base-2 notations from the Planck Time to the current time. This endless stream of spheres is the current expansion and every notation is always active and present.

I’ll continue to work on this model and will attempt to become more compelling within each step of the way.

In today’s homepage there is a reference to you and the 1999 Structure Formation conference at Cambridge University’s Isaac Newton Institute so I was reminded once again of your most impressive history within this domain. I thank you.

Most sincerely,

Bruce

PS. I find our definitions of time and space are still quite primitive:

https://81018.com/redefinition/#Top Although Turok, Arkani-Hamed, and Tegmark would never agree with a high school teacher, at least they forcefully raise the questions.

`Second email: Tuesday, March 12, 2019, 1:23 PM`

1. Continuity: A simple mathematical grid to order things. Apply base-2 notation to the Planck base units to encapsulate the universe within 202 base-2 notations. We start at Planck Time and go to the present time.

2. Symmetry: A simple building block to create relations. Assume the first expression of physicality is the sphere; some have called it a plancksphere; and, back in 1955, John Wheeler called it quantum foam. Apply cubic-close packing — https://81018.com/number/#Kepler –and form-and-structure become emergent. https://81018.com/circles-spheres/

3. Harmony: A simple construct for quantum fluctuations and dynamics. Assume basic structures include a five-tetrahedral unit; we have called it a pentastar. It has a gap (0.12838822… radians or 7.356103172… degrees) that also manifests as the twenty-face icosahedron and the sixty-face pentakis dodecahedron. In each the same gaps could readily manifest as quantum indeterminacy by the 64th notation or doubling.

4. Time is derivative. Every notation is always emergent, never-ending, never-the-same. All time is *Now*. Obviously, within the 202nd notation, there is a perception of past-present-and-future, a sense of time. This notation is 10.9 billion years and only about 2.84 of it has emerged.

5. Re-open the door to define more deeply the concept of infinity. We’ve all got to lighten up a little. It is obvious nobody is making progress within the old-time debate, but some progress just might be made both within mathematics and physics: https://81018.com/infinity/

Summary. It is such a different model, it is hard to engage. It took me the better part of four years to realize in what ways this nascent model could become more than a STEM tool.

Our little history is here: https://81018.com/home/ My story is here; an introduction here.

My request (a plea). I know how idiosyncratic this model and these five constructs are. If the logic and/or mathematics fail, I would be deeply indebted to learn how. If this model is not a possibility, I would like to learn where and how the simple logic and simple math break down so I can give this work a fair burial as a theory and do a better analysis of its STEM possibilities.

Thank you. Thank you so very much.

1. Continuity: A simple mathematical grid to order things. Apply base-2 notation to the Planck base units to encapsulate the universe within 202 base-2 notations. We start at Planck Time and go to the present time.

2. Symmetry: A simple building block to create relations. Assume the first expression of physicality is the sphere; some have called it a plancksphere; and, back in 1955, John Wheeler called it quantum foam. Apply cubic-close packing — https://81018.com/number/#Kepler –and form-and-structure become emergent. https://81018.com/circles-spheres/

3. Harmony: A simple construct for quantum fluctuations and dynamics. Assume basic structures include a five-tetrahedral unit; we have called it a pentastar. It has a gap (0.12838822… radians or 7.356103172… degrees) that also manifests as the twenty-face icosahedron and the sixty-face pentakis dodecahedron. In each the same gaps could readily manifest as quantum indeterminacy by the 64th notation or doubling.

4. Time is derivative. Every notation is always emergent, never-ending, never-the-same. All time is *Now*. Obviously, within the 202nd notation, there is a perception of past-present-and-future, a sense of time. This notation is 10.9 billion years and only about 2.84 of it has emerged.

5. Re-open the door to define more deeply the concept of infinity. We’ve all got to lighten up a little. It is obvious nobody is making progress within the old-time debate, but some progress just might be made both within mathematics and physics: https://81018.com/infinity/

Summary. It is such a different model, it is hard to engage. It took me the better part of four years to realize in what ways this nascent model could become more than a STEM tool.

Our little history is here: https://81018.com/home/ My story is here; an introduction here.

My request (a plea). I know how idiosyncratic this model and these five constructs are. If the logic and/or mathematics fail, I would be deeply indebted to learn how. If this model is not a possibility, I would like to learn where and how the simple logic and simple math break down so I can give this work a fair burial as a theory and do a better analysis of its STEM possibilities.

Thank you. Thank you so very much.

1. **Continuity**: A simple mathematical grid to order things. Apply base-2 notation to the Planck base units to encapsulate the universe within 202 base-2 notations. We start at Planck Time and go to the present time.

2. **Symmetry**: A simple building block to create relations. Assume the first expression of physicality is the sphere; some have called it a plancksphere; and, back in 1955, John Wheeler called it quantum foam. Apply cubic-close packing — https://81018.com/number/#Kepler –and form-and-structure become emergent. https://81018.com/circles-spheres/

3. **Harmony**: A simple construct for quantum fluctuations and dynamics. Assume basic structures include a five-tetrahedral unit; we have called it a pentastar. It has a gap (0.12838822… radians or 7.356103172… degrees) that also manifests as the twenty-face icosahedron and the sixty-face pentakis dodecahedron. In each the same gaps could readily manifest as quantum indeterminacy by the 64th notation or doubling.

4. Time is derivative. Every notation is always emergent, never-ending, never-the-same. All time is *Now*. Obviously, within the 202nd notation, there is a perception of past-present-and-future, a sense of time. This notation is 10.9 billion years and only about 2.84 of it has emerged.

5. Re-open the door to define more deeply the concept of infinity. We’ve all got to lighten up a little. It is obvious nobody is making progress within the old-time debate, but some progress just might be made both within mathematics and physics: https://81018.com/infinity/

Summary. It is such a different model, it is hard to engage. It took me the better part of four years to realize in what ways this nascent model could become more than a STEM tool.

Our little history is here: https://81018.com/home/ My story is here; an introduction here.

My request (a plea). I know how idiosyncratic this model and these five constructs are. If the logic and/or mathematics fail, I would be deeply indebted to learn how. If this model is not a possibility, I would like to learn where and how the simple logic and simple math break down so I can give this work a fair burial as a theory and do a better analysis of its STEM possibilities.

Thank you.

Thank you so very much,

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’ve been looking for alternative approaches to understand our earliest universe.

We 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 raises 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

************

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 as well as the following:

- The references to your work (just above) for 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: https://81018.com/calculations/
- Earlier work from September 2014, mostly questions… one must start somewhere:
*Did A Quiet Expansion Precede A Big Bang? https://81018.com/2014/09/10/quietexpansion/*