On discovering the work of Michiel Hazewinkel

TO: Michiel Hazewinkel, Burg. s’Jacoblaan 18, 1401 BR Bussum, The Netherlands
FM: Bruce E. Camber
RE: Your work in ArXiv especially Symmetry vs Symmetry (2016), and your Niceness theorems (Oct 2008), as well as your books especially Algebraic and Geometric Methods in Nonlinear Control Theory (1986). I enjoyed you CV and AMS workpage.

URL for this page: https://81018.com/2018/10/18/hazewinkel/

Second email: 18 November 2025

Dear Prof. Dr. Michiel Hazewinkel:

Seven years later… where are we? The big bang theory is now challenged by observations. We should be thinking about alternatives. As a thought experiment or the start of a toy model:

1. Assume the first manifestation of a thing is a geometrically simple infinitesimal sphere defined by the Planck base units with facets defined by the four primary irrational numbers. See a dynamic illustration.

2. As a thought experiment, follow the simple stacking-packing-triangulating of spheres beginning at Notation-0.

  • Assume Planck Length is the first instantiation of space while Planck Time is the first moment of time and with the other base units defines thing. 
  • π’s continuity (infinite digits), symmetry, and harmony (Fourier dynamics) bridge the discrete Planck scale to continuous spacetime, avoiding the singularities of the Big Bang.
  • The 202nd notation contains the current time, the Now. Once activated, all notations remain active, building on each other.

3. The first second of the universe is within Notation 143, the first year within Notation-169, the first 1000 years within Notation 179 (and 189-one million and 199-one billion). 

4. Assuming one Planck Sphere per unit of Planck Time-Planck Length, and unit of Planck Mass-Planck Charge, it calculates to be approximately 18.5 tredecillion spheres per secondhttps://81018.com/tredecillion/

5. Using those figures, Grok and ChatGPT calculate the Hubble Tension to be 71km/s/Mpc: https://81018.com/hubble-derivation/

6. The universe is outlined in 202 notations: https://81018.com/10-notations/

7. Infinities of the four primary irrational numbers are the stabilizers of those infinitesimal spheres within Notation-0:  https://81018.com/Planck-Polyhedral-Core/ The densities and speed create perfect stacking-packing

8. Natural gaps within tetrahedrons, octahedrons, dodecahedrons and icosahedrons open dissonance, indeterminacy and creativity (enchantment) which are first measured in and around Notation-64.

As a thought experiment alone, does it open a possible alternative? Thank you.

Sincerely,

Bruce

First email: 19 October 2018

Dear Prof. Dr. Michiel Hazewinkel:

You are so right. The beautiful, the nice, the charming, and the simple need to become a formal study. Let’s take it on. Will you help me with the mathematics?

I am starting from a peculiar place, the Planck Base Units; and, I have applied base-2 so the universe is mapped in 202 notations:

1. The numbers: https://81018.com/chart
2. Discussion related to Dark Matter and Dark Energy: https://81018.com/dark/
3. A discussion related to the first 64 notations: https://81018.com/64-notations/
4. It has a very humble history: https://81018.com/home/

Could I interest you? It could mess up your rather brilliant reputation!

Thanks.

Most sincerely,
Bruce

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