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A Study of Notation #64

The Numbers: A doubling of the Planck base units.

Notation	Planck Time	Planck Length	Planck Mass	Planck Charge	Scaling Vertices
64	9.945×10-25 seconds	2.98×10-16 meters	3.211×1012 kilograms	34.598 coulombs	6.2771017×1057

The 64th notation is 2⁶⁴ and it is the expansion cited in the Wheat & Chessboard story. Notation-0 (the Planck base units) and Notation-1 (the first doubling) might be the beginning of the domain for string theory. If so, the entire history of string theory just might dominate these first 64 notations.

It has been hypothesized that the diameters of planckspheres at the Notation-0 is the first manifestation of a string. Within this domain, Notation-0 to Notation-64, string theory has a playground of possibilities.  Each notation is twice the size-mass-duration-and-charge as the notation before it. Clearly, here are 64 notations in which to develop the structures of the universe.

There are many dimensionless constants that are not within the Planck base units. Also, Notation-0 within these studies is hypothesized to be the transformation notation from the finite to the infinite. We’ll let the growth of mathematics naturally and  logically  bring ever other dimensionless constants  into the expanding equations whenever appropriate. Here are 64 notations in which to develop all mathematics and geometries that create the foundations for the first particles that are measured at the 67th notation.

Planck Time:  9.945×10^-25 seconds   The first measurement of a unit of time will not occur until the 84th notation.   This duration is a bit smaller than a yoctosecond (10⁻²⁴).

Planck Length:  2.98×10^-16 meters At the 64th doubling of the Planck Length, we know of nothing so small. But, it’s mass is beyond belief.

Planck Mass: 3.211×10¹²kilograms This mass is between the global biomass of fish (2.1×10¹² kg) and the global annual human food production (4×10¹² kg) or a teaspoon (5.5×10¹² kg) of neutron star material (5000 million tonnes).

Planck Charge: 34.598 coulombs  A typical thundercloud ranges from 15 to 350 coulombs.

Might you have some ideas about its deeper definition?
Access the horizontally-scrolled chart.
Access the index to each separate doubling.