Start at the Planck Length, use base-2 exponential notation and the five Platonic Solids, and go to the Observable Universe in less than 206 necessarily-related steps

Larger image just below

Larger image just below

  1. Introduction. The Big Board-little universe  was first used in class on December 19, 2011. This Universe Table (a full-sized version is just below) began a year later for those same high school geometry classes. The big board measures 62″x10″ and it is just too big and awkward for desktop work.   The table is designed to be printed on 8.5″x11″ paper and displayed on a smartphone. Now, the origin of these two charts can be found by looking inside a tetrahedron and an octahedron. Half-sizes of both objects can perfectly fill each other. The question was asked, “How far can we go inside each by dividing in half over and over again?” The simple answer is, “Not very far.” Within 50 steps we were at the size of a proton. Within another 65 steps we were at the Planck Length. This particular table was created by multiplying the smallest possible length -the Planck Length- by 2 until we got to the edges of the Observable Universe. Distinguished scientists have helped us. One scientist calculated as few as 202.34 notations (doublings or steps) from the smallest to the largest. Another calculated 205.11.
  2. We use both figures. Within over 202 notations, here is a simple view of the universe, highly-ordered and structurally integrated from the smallest to the largest measurements of a length, all within a geometrically homogeneous group.
  3. Examples. Initially the examples came mostly from the Paul Falstad’s Scale. Then over the following year other objects of special interest to students were selected. Each should be within the range of the notation defined as no less than 50% smaller or no more than 50% larger than that particular Planck multiple.  As we go forward, every entry will have footnotes and links for further explanation and exploration.
  4. Exhausting. Today’s information glut is so chaotic and overwhelming, it seems that it actually depresses creative thinking.  So, our hope in sharing this simple little table is that students will feel empowered to search for new insights to understand this universe more deeply and as we do, to instill some optimism about our common future.
  5. Notice the first 66 notations. In light of the Planck Length doublings, this is rather new ground. Here, there are very few facts and many, many guesses. And, we believe that there are many more surprises to be found throughout this chart. One might readily conclude that all the surprises are new domains for research and study.
Small Scale
Speculations
Ideas
Concepts
and
Parameters

Boundaries
and
boundary
conditions

Trans-
forma-
tions

Human Scale

Numbers
and
Number
Theory
Forms
Order Relation Dynamics
Functions Continuity Symmetry Harmony

Large Scale

1
Planck Length
( ℓP )
Transition:
Small-to-Human Scale

1. Display area: Every number/word hyperlinked – quick results display here

2. Options: Open full screen, new tab or window to the research of the experts

3. Also: Related videos-images and online collaborations with up to nine visitors

4. Key Links: http://Universe-View.org and http://BigBoardLittleUniverse.org

Transition:
Human-to-Large Scale
205+
Observable Universe
2- 10
Forms1
Vertices:1024
77
Research
ℓP:2.44×10-12m
78
X-ray
Wavelength
95
Range:
Visible Light
96
Bacteria
Red Light
113
Hand-sizeH
16.78+cm
114
TextbookT
12.8+inches
131
Marathon
27+miles
132
54+ miles
87.99+km
204+
Observable
Universe
11-20
Structure-Ousia
V: 1+million
76
Gamma
Wavelength
79
Huang
Scale
94
Nanoparticles
100-10000+nm
97
Blood cellR
2.4+microns(µm)
112
Finger-size
3.3″(inches)
115
Things
67.134±cm
130
Race
21.998+km
133
Drive
108+miles
202-203+
Observable
Universe
21-30
Substances
V:1+ billion
75
Falstad
Scale
80
Periodic
Table
93
Gold LeafG
160.06±nm
98
Capillary
5.12+microns
111
Spoonful
4.19+cm
116
A child
52.86±in
129
Distances:
6.834+miles
134
Gravity-free
351.97+km
198-201
Superclusters

6.1-54+yottometers
31-40
Qualities
V:1+ trillion
74
Research
1.52+x10-13m
81
HydrogenH
31±pm
92
Nanowires
80.03±nm
99
Cells
10.24±microns
110
MakeupM
.82±inches
117
A bed
105.72±inches
128
Village
3.41±miles
135
Distance
437.41±miles
191-197
Virgo
Supercluster3
41-50
Relations
V:1+ quadrillion
73
Research:
Tunneling4
82
HydrogenH
78+ pm
91
Little chipslc
40.01+nm
100
Sperm
20.48+microns
109
LipstickL
1.04+centimeters
118
Bedroom
5.37+meters
127
Walk
1.7+miles
136
Fly
874+miles
181-190
Galactic
Group6
51-60
Systems
The MindM
72
NucleusN
7.63+x10-14m
83
CarbonC
70±pm2
90
Viruses
20.007+nm
101
HAIR
40+microns
108
DiamondD
5.2+mmM
119
Home
35.24+feet
126
Downtown
1.37+km
137
Rivers
2815.81+km
171-180
Milky
Way
61-65
Elementary
Particles
71
GoldAU
Nucleus

84
WATERW
3.12+x10-10m
89
Cell Wall
10+nm
102
Paper
81.95+microns
107
Ants
2.62+mm
120
Property
21.48+m
125
Superdome
687.45+m
138
USA-to-UK
3500+miles
161-170
SolarS
Interstellar
65-67
Neutron
Proton-Fermion
70
AluminumAl
1.90+x10-14m
85
DNAD
6.25+x10-10m
88
Insulin
5.00+x10-9m
103
EggE
.16+millimeters
106
Sand
1.31+mm
121
Yacht
142+feet
124
Skyscraper
343.7+meter+
139
EarthE
11,263+km
151-160
Solar
SystemS
68
HeliumHe
4.77+x10-15 m
69
Electron
9.54+x10-15m
86
Buckyballs
1.25+nm
87
Ribosomes
2.50+nm
104
>.< Period
.32+mm
105
Bacterium
.65+mm
122
Sequoia
85+meters
123
Tall Building
171.86+m
140
GPS Satellite
22526+km
141-150
Earth
Systems

THIS IS A VERY ROUGH DRAFT AND A WORK IN PROGRESS:
We recognize that there are many errors that have been imputed along this path.  These will be cleaned up by experts within a particular notation.

Links and references to the work of scholars within each notation,  1-to-205, will be added  such that every entry on this chart will be an active link.

On-going Investigations:  Distance between bonded hydrogen atoms,  diameter of a carbon atom,  and a better definition of the ranges within the small scale and large scale universe, i.e. 191-197: 48 zettameters-to-4.7± yottometers and the Local Galactic Group

Tunneling — a wild-and-crazy speculation: There may be parallel constructs whereby tunneling is part of the transformation
between primary scales, pre-particles to particles, particles-to-atoms, atoms-to-organics (ribosome), the stationary-to-mobile (sperm-egg),
and the human-scale to the large-scale (Einstein-Rosen bridges).

Could cellular automaton apply to the first 60+ doublings from the Planck Length using base-2 exponential notation to PRE-STRUCTURE things?

More than things, as in protons and fermions, could the results of cellular automaton be understood as Plato’s forms (perhaps notations 3-to-20) and Aristotle’s ousia (perhaps doublings 20-to-30)? Assuming the Planck Length to be a vertex, and assigning the area over to pure geometries, do we have the basis for form, structure, and the architecture for substances? Then, could it be that this architecture gives rise to an architecture for qualities (notations 30-to-40)? And, as we progress in the evolution of complexity, could it be that in this emergence, there is now an architecture for relations (notations 40-to-50)? If we assume an architecture for relations, could the next be an architecture for systems (notations 50-to-60) and this actually becomes the domain of the Mind? It is certainly a different kind of ontology given it all begins with cellular automaton and base-2 notation to provide a coherent architecture (with the built-in imperfections of the five-tetrahedral cluster also known as a pentastar). More: https://utable.wordpress.com/2014/01/20/osi/

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s