- 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.
- 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.
- 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.
- 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.
- 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 |
Trans- |
Numbers and Number Theory |
Forms Order Relation Dynamics |
Functions Continuity Symmetry Harmony |
Large Scale |
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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 Forms^{1} Vertices:1024 |
77 Research ℓP:2.44×10^{-12}m |
78 X-ray Wavelength |
95 Range: Visible Light |
96 Bacteria Red Light |
113 Hand-size^{H} 16.78^{+}cm |
114 Textbook^{T} 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 cell^{R} 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 Leaf^{G} 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^{-13}m |
81 Hydrogen^{H} 31^{±}pm |
92 Nanowires 80.03^{±}nm |
99 Cells 10.24^{±}microns |
110 Makeup^{M} .82^{±}inches |
117 A bed 105.72^{±}inches |
128 Village 3.41^{±}miles |
135 Distance 437.41^{±}miles |
191-197 Virgo Supercluster^{3} |
41-50 Relations V:1+ quadrillion |
73 Research: Tunneling^{4} |
82 Hydrogen^{H} 78^{+} pm |
91 Little chips^{lc} 40.01^{+}nm |
100 Sperm 20.48^{+}microns |
109 Lipstick^{L} 1.04^{+}centimeters |
118 Bedroom 5.37^{+}meters |
127 Walk 1.7^{+}miles |
136 Fly 874^{+}miles |
181-190 Galactic Group^{6} |
51-60 Systems The Mind^{M} |
72 Nucleus^{N} 7.63^{+}x10^{-14}m |
83 Carbon^{C} 70^{±}pm^{2} |
90 Viruses 20.007^{+}nm |
101 HAIR 40^{+}microns |
108 Diamond^{D} 5.2^{+}mm^{M} |
119 Home 35.24^{+}feet |
126 Downtown 1.37^{+}km |
137 Rivers 2815.81^{+}km |
171-180 Milky Way |
61-65 Elementary Particles |
71 Gold^{AU Nucleus}^{ } |
84 WATER^{W} 3.12^{+}x10^{-10}m |
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 Solar^{S} Interstellar |
65-67 Neutron Proton-Fermion |
70 Aluminum^{Al} 1.90^{+}x10^{-14}m |
85 DNA^{D} 6.25^{+}x10^{-10}m |
88 Insulin 5.00^{+}x10^{-9}m |
103 Egg^{E} .16^{+}millimeters |
106 Sand 1.31^{+}mm |
121 Yacht 142^{+}feet |
124 Skyscraper 343.7^{+}meter^{+} |
139 Earth^{E} 11,263^{+}km |
151-160 Solar System^{S} |
68 Helium^{He} 4.77^{+}x10^{-15} m |
69 Electron 9.54^{+}x10^{-15}m |
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: 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 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/ |