The 8th out of 202 notations

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A Study of Notation #8  (rough notes)

Extending pi-and-Euler’s equations, and projective, Euclidean, icosahedral and Riemannian geometries

The eighth doubling
of Planck Time 
The eighth doubling
of Planck Length
The eighth doubling
of Planck Mass
The eighth doubling
of Planck Charge
Scaling
“Vertices”
1.380111×10-41.s
4.13747×10-33.m
5.57186×10-6.(kg)
4.801525×10-16.(C)
2,097,152 to 16,777,216

Observation:  The number 8, often understood as 2 times 2 times 2, is  the eighth doubling of the Planck numbers; and within this system of numbers, geometries, and formulas,  the question is asked, “What happens within a notation that is divisible by other notations? Does it have a necessary relation with Notation #2 and #4?”

Planck unit doubles. Is it meaningful to say that 4.13×10-33 meters is eight times larger than the Planck Length? Is the foundational building block an infinitesimal sphere defined by the Planck base units? Does this notation help to stabilize all the different structures that have begun to emerge?  Shall we suggest that what we once considered to be point-free vertices are now considered to be infinitesimal spheres?

Yes, we are advocating that we change our undersatanding of points and vertices and consider each in the same way we would an infinitesimal sphere?

  • Spheres:
  • Projective geometries:
  • Euclidean geometries:
  • Simple doublings at Notation 4:
  • Pentastars, tetrahedral rings, tetrahedral systems & the icosahedral phase:
  • Simple doublings at Notation 6

More to come… (reviewed on May 26, 2023)

We’ll be working on these pages for many years.