An expert on geometry, theoretical physics, dynamical systems…

**Jürgen Jost**, Max Planck Institute for Mathematics in the Sciences, Leipzig

ArXiv (127): Randomness, chaos, and structure, 2007

Google Scholar

Homepage(s): Max Planck Institute, Santa Fe Institute

inSPIRE^{HEP}

Publications (CV): Information Theory and Consciousness

Wikipedia

YouTube: Geometry and Topology of Data, 2021

4 August 2022 at 11:18 AM

Dear Prof. Dr. Jürgen Jost:

Perhaps you might respond to these relatively straight-forward questions:

1. The universe can be parsed within 202 base-2 notations from the Planck units to this day. Is it meaningful?

The first 64 notations are below current possibilities of measurement. If primordial spheres were to manifest at the Planck scale, there could be 64 base-2 doublings before anything would be measured.

2. Is there any explanation of the geometry of the gaps, particularly the one Aristotle missed using just five tetrahedra, and the one created with five octahedra, and the composite of both?

Because we can’t seem to let go of our presumptions about reality — one might say *our commonsense worldviews*, I am going to try to unravel where we seem to get hung up. If it turns out to meet my satisfaction, may I send you that link?

Thank you.

Most sincerely,

Bruce

Tuesday, April 13, 2021, 12:11 PM

Dear Prof. Dr. Jürgen Jost:

Congratulations on such a significant body of work [1],[2],[3],[4],[5],[6]**.** Most impressive.

Our work started within the unique naivete of a high school geometry class. We were studying the tetrahedron — https://81018.com/tot/ — and the octahedron within it. We could not find references to the four hexagonal plates within that octahedron. I had asked John Conway about them in and around May 2001. It was a busy day in Princeton and that discussion didn’t get enough attention.

**December 19, 2011, New Orleans**: It wasn’t until my few days with the kids in a high school that we did our three-dimensional Zeno walk down inside the tetrahedron and octahedron. We didn’t know we were blazing a new trail. What might have begun as a rabbit hole, possibly became a wormhole, we were getting infinitesimally ever-smaller…

After getting comfortable with the concepts, we went all the way down into Planck’s scale and then out to the age of the universe following the doublings of Planck Time and Length. It mapped out: https://81018.com/chart/ There were just 202 base-2 notations from the start until Now!

Now that was years ago. What do we do? We had posted pages all over the web so I collected them in one place: https://81018.com The homepage is always our latest query.

If you do not have time to go to those pages, might you consider the questions just below that are on the homepage today? Your answers would be very helpful as we try to continue our walk between physics and math. Thank you, thank you.

Most sincerely,

Bruce

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

Bruce E. Camber

Questions:

1. Might there be fundamental units of length and time, as well as mass and charge (similar to, but more accurate than, the Planck base units), that are among the parameters that define the first moment or instant of the universe?**Answer**: Yes | No | Maybe**Comment**:

____________

2. Might an infinitesimal sphere be a first manifestation of such base units?**Answer**: Yes | No | Maybe**Comment**:^{____________}

3. Might sphere stacking and cubic-close-packing of equal spheres be among the first functional activities to define the universe?**Answer**: Yes | No | Maybe**Comment**:_{____________}

4. Might the rate by which spheres emerge be determined by a fundamental unit of time which would be one sphere per unit of a fundamental length? For example, we used Planck Time. That computes to 539.116 tredecillion spheres per second given the value of Planck Time is 5.39116(13)×10^{-44} seconds.**Answer**: Yes | No | Maybe**Comment**:^{____________}

5. Might base-2 notation be applied to create an ordering schema for these spheres? If that fundamental unit of time were Planck Time, approximately 436,117,076,900,000,000 seconds would pass to get to the current time which would be within the 202nd doubling (base-2).**Answer**: Yes | No | Maybe**Comment:**^{____________}

6. Might there be a range of perfection from the earliest notations and prior to any kind of quantum fluctuation, be it ontological or physical?**Answer**: Yes | No | Maybe**Comment**:

____________

7. Might these spheres:

___(a) be defined by continuity-symmetry-harmony (which redefines infinity)?

___**Answer**: Yes | No | Maybe **Comment**:

___(b) …become the basis to define the aether?

___**Answer**: Yes | No | Maybe **Comment**:

___(c) …be the reason for homogeneity and isotropy?

___**Answer**: Yes | No | Maybe **Comment**:

___(d) …and, be the essence of dark matter and dark energy?

___**Answer**: Yes | No | Maybe **Comment**:

____________

8. Might you be open to receive another eight questions about foundational concepts no sooner than eight months from today?**Answer**: Yes | No | Maybe**Comment**