On-going work.  Last update was on Wednesday, September 26, 2018.

Our goal is is to analyze the entire chart of 202 notations, notation by notation. It is all quite rough and definitely in process. We are now seeking the expert advice of scholars who have made the data set within a notation their professional study.  In April 2017 we did our first analysis titled, Measuring an Expanding Universe with Planck Units.  This analysis (September 2018) has an associated homepage article on gravity.  Embedded links of any numbered notation go to that analysis with the notation by notation chart.

Notation	Planck Time	Planck Length	Planck Mass	Planck Charge	Scaling Vertices
0	5.39(13)×10-44 s	1.61(38)×10-35 m	2.17(51)×10-8 kg	1.87(41)×10-18 coulombs	1-7
64	9.945×10-25  seconds	2.98×10-16 meters	4.01495×1011 kilograms	34.59 coulombs	6.2771017×1057
67	7.95×10-24  seconds	2.385×10-15 meters	3.211×1012 kilograms	276.78 coulombs	3.2138761×1060
134	1.1741×10-3 seconds	351.977 km	4.7400×1031 kg	4.0846×1022 c	1.0328×10121
143	.60116 seconds	180,212.316 km	2.4268×1034 kg	2.0913×1025 c	1.38634×10129
197	1.0829×1016 seconds	3.246×1024 km	4.371×1050 kg	3.767×1041 c	5.188×10179
202	3.465×1017  seconds	1.038×1026 km	1.399×1052 kg	1.205×1043C	1.699×10184

Notations 0,1: Perhaps the one concept that is key to the entire chart is the emergence from Notation #0 (the Planck base units) to Notation #1.  To open that emergence and transformation, the concept of the plancksphere was adopted. The roots of our understanding of the plancksphere go back to John Wheeler (Princeton, 1938-1976; Univ. Texas, 1976-1986) and quantum foam. Our studies of the plancksphere and quantum foam just began in 2017 so scholars who are experts around these concepts are being researched and contacted.

In the first notation (0), Planck mass is small, but not so small to be meaningless. Here is a very real mass, with a very small charge, giving definition to space-time. These four base units, along with all the dimensionless constants that define them, are by definition highly integrated, with a natural coherence and a natural inflation (Planck Charge). Though much smaller than a neutrino, each notation below the 64th notation defines a mathematical entity, both a geometrical object and a physical object with the attributes defined by the natural inflation of the Planck base units. Notations above the 64th are in part picked up within the current research of scientists and scholars using measuring devices, from particle accelerators to orbiting telescopes.

Notice the Planck Charge value at Notation 0 — (1.87(41)×10^-18 coulombs) — there are three measurements that are smaller than Planck Charge:
• 5.34×10⁻²⁰ C The charge of down, strange and bottom quarks
• 1.068×10⁻¹⁹ C The charge of up, charm and top quarks
• 1.602×10⁻¹⁹ C The elementary charge, e, i.e. the negative charge on a single electron or the positive charge on a single proton

Planck Mass, calculated to be 2.17(51)×10^-8 kilograms, is larger than the mass of a meson or baryon. It begs the question, “In what notation will be find baryons and mesons? Are they within the transformation between the finite and infinite?”

Notation 64: Selected because Notation 64 is clearly not within the reach of today’s instruments to measure the multiples of Planck Length and Planck Time. To drill down as deeply as possible, we are now looking for experts who can help us process notations 1-64.  On the 11th line of the horizontally-scrolled chart there is a listing of many disciplines to be consulted: Philosophy (Eidos, Ousia, Ontology, Systems, topos theory…) and Mathematics (Langlands programs, pointfree geometries, automorphics, automaton, axiomatic set theory, bifurcation theory, binary operations, scalar field theory…).

In December 2014 these 64 notations were differentiated for the first time.

It was all so new, we could only begin to address it by creating groups of 10 notations. The first group (1-10) was to create FORMS inculcating the eidos going back to the traditions of Plato and Aristotle. 11-20 were for the emergence of STRUCTURE or the Ousia. Notations 21-30 were for the emergence of SUBSTANCES. With 31-40 came QUALITIES. Notations 41-50 were for the emergence of RELATIONS. Then, the mathematics of relations yielded SYSTEMS within notations 51 to 60 and here we thought we could perceive The Mind. Finally, consciousness was on a grid.

So, yes, better interpretations and more data are coming.

Notation 67:  This notation is within the range of measurements by accelerators like the Large Hadron Collider in Geneva. There is a vast amount of information here. We will be trying to get one of the key scientists within this group to look at the numbers at this 67th notation to see if they inform the situation in a new way.   So again, yes, better interpretations and more data are coming.

Notation 134:  At the edge of large-scale measurements of a length and just under a second in duration , the other measurements represent the totality of charge and mass at this stage in the notational transformations.

Notation 143: Consider the distance light travels in .60116 seconds is equal to approximately 180,212.316 kilometers. At this notation the universe has a mass of 2.4268×10³⁴ kg and energy equal to about 2.0913×10²⁵ coulombs.  How does that look and feel? That’s the question we will be asking astrophysicists and specialists of neutron stars and pulsars. Scholar/experts say that the mass of a neutron star is about 1.4 times the mass of the sun and the diameter is just 15 km.

The mass of the sun (1.989×10³⁰ kilograms), even the mass of the entire solar system (1.992×10³⁰kg), gives us a sense of perspective. The approximate size, about 15 km, gives us a ratio to compare along the Planck Mass/ Planck Length to compare throughout the chart. If it were other than the emergent universe, the mass would be reaching the levels of  a typical globular cluster in the Milky Way (overall range: 3×10³ to 3×10⁶ M_☉).

In our very first analysis of six groups of Planck units, we said, “…at Notation 101 the mass is  5.5181×10²¹ kilograms which was compared to the mass of the moon, 7.34767309×10²² kg or to the mass of the earth, 5.972 × 10²⁴ kg.  At Notation 137 the Planck Mass is 3.7920×10³² kilograms which was larger than from the mass of the sun (1.989×10³⁰ kilograms) and even greater than the mass of the entire solar system (1.992×10³⁰ kg)!

The supermassive black hole (SMBH) at the center of the Milky Way, called Sagittarius A*,  has a mass estimated to be no less than a million and possibly greater than a billion times our Sun. These ratios and conclusions are bewildering and that is why we turn to the scholars!

Notation 197: We are looking for people who are experts within the 343 million year cycle of the universe  so, yes, more data coming.

Notation 202: This notation includes all of human history. It would appear our solar system (4.571 billion years) began its emergence within Notation 201.

Stretching credulity, it appears that a very non-intuitive conclusion could follow, i.e. that individuality, the identity of personhood, is constituted by no less than three notations and probably many, many more.

So, of course there will be more analysis and real data to follow.

Test a theory.  Here I believe we will discover that this is the essence of dark matter and dark energy. Not dark at all, these planckspheres are just so very small, mathematically-small, much smaller than any of today’s measuring devices are able to detect.  Yet, by using our hypothetical model for the first notations between the hypothetical finite-infinite transformation, perhaps we can further hypothesize functional mechanisms for the planckspheres whereby those functions are extrapolated over all notations and can actually be tested.