Universe Table – Universe View

Part of the Big Board – little universe project.
This page is the Human Scale. The columns for the Small Scale and the Large Scale will be expanded as full pages.

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://bblu.org    Universe-View.org   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

A WORK IN PROGRESS.

© 2014 Bruce Camber

Working Draft: Planck Time, Planck Length & Base-2 Exponential Notation

Planck Time to the Age of the Universe
Planck Length to the Observable Universe

More articles (working-drafts):
Tilings & Tessellations         
Just what’s happening here?

PLEASE NOTE: This page was started early in December 2014.  There are many simple errors within the chart below, so this page will be subject to frequent updates.

Are there any comparison between the progressions from the Planck Time and the Planck Length using base-2 exponential notation through the successive doublings out to their given limits, i.e. the Age of the Universe and the Observable Universe respectively?  At this point in time, I do not think there are, so we are making our first working draft attempt to do it here.

Perhaps it goes without saying… as you read this note, I appeal to you to ask questions and make comments and suggestions. Thank you.   Bruce Camber

The Planck Time, like the Planck Length, is an actual value. It can be multiplied by 2. Of course, if one were to multiply it by 2 over and over again, you can assume that you would reach those outer limits. That process looks a bit tedious. After all, the Age of the Universe is somewhere over 13.78 billion years and the Observable Universe is millions of light years from common sense. Yet, rather surprisingly, to complete that effort doesn’t require thousands of doublings. It is done in somewhere between 202 to 206 doublings. That is so surprising, the doublings for both are charted below.

These doublings do kind-of, sort-of end up somewhat in synch. Considering the duration and the length, and the nature of very large measurements, for all intents and purposes, they are synched! Though these charts will be tweaked substantially, the best confirmation is at the notations (or doublings) that define a day in Planck Time units correspond closely to distance light travels in a day in Planck Length units. And, the doublings within the Planck Time column for the definition of a week correspond closely with the distance light travels in a week within the Planck Length column. And, finally, the doublings in the Planck Time column that define a year correspond closely with the distance light travels within a year in the Planck Length column. These are the first baby steps of analysis. How many hundreds of steps are there to go to discern all the faces of its meaning? Who knows? From here, we will continue to look to see what meaning and relation evolves at a
particular notation where one column appears to impart value to the other. Just on the surface, this chart seems to suggest that there are other possible views of the nature of space and time where order (sequence), continuity, symmetries, and relations seem to play a more fundamental role.

Science and our common sense worldview assume the primordial nature of space and time. As a result of our work with the Planck Units, we hold that conclusion up for further inspection. How do things appear as one begins to approach the Planck Length and Planck Time in synch? As we add more Planck Units to this chart, what else might we see? What might we learn? So, we will add mass, electric charge, and temperature to these listings. And then, we’ll add the derived Planck Units (12) and then ask, "Is there anything more we can do to establish a range from the smallest to the largest? What might a comparative analysis at each doubling reveal to us?

At this point, we are attempting to learn enough to make a few somewhat intelligent guesses.

So, as a result of where we are today, I think it is okay to ask the question, "What would the universe look like if space and time were derivative of order-continuity and relation-symmetry, and of ratios where the subject-object are constantly in tension?"

By the way, on May 10, 2010, the very smallest unit of measured time was experimentally demonstrated;  the result was 1.2 × 10−17 seconds. That is a long way from 10−44 seconds!  For more background, see: http://phys.org/news192909576.html

This stream of  consciousness continues at the very bottom of this chart.

 

Planck Time Doublings: Primarily in Seconds

Planck Length Doublings: Primarily in Meters

204

The Age of the Universe: 13.78 to 13.8 billion years

8.310×1026 m or Future Universe

203

It appears that we are in the earliest part of 202 doubling:1019

4.155×1026 m or Near Future Universe

202

6.9309178×1018 seconds (21.9777+ billion years)18

2.077×1026 m or in the range of the Observable Universe

201

346,545,888,147,200,000 seconds (10.9888+ billion years)

1.03885326×1026 m approaching the Observable Universe

200 18

173,272,944,073,600,000 seconds (5.49444+ billion years)

5.19426632×1025 m

199

86,636,472,036,800,000 seconds (2.747+ billion years)

2.59713316×1025 m

198

43,318,236,018,400,000 seconds (1.3736+ billion years)

1.29856658×1025 m

197

21,659,118,009,200,000 seconds (686.806+ million years) 17

6.49283305×1024 m

196

10,829,559,004,600,000 seconds (342.4+ million years)

3.24641644×1024 m

195

5,414,779,502,320,000 seconds (171.2+ million years)

1.62320822×1024 m

194

2,707,389,751,160,000 seconds (85.6+ million years)

8.11604112×1023 m

193

1,353,694,875,580,000 seconds (42.8+ million years)

4.05802056×1023 m

192

676,847,437,792,000 seconds (21.4+ million years)

2.02901033×1023 m

191

338,423,718,896,000 seconds (10.724+ million years)

1.01450514×1023 m

19015

18914

18814

18714

18614

18513

18413

18313

18212

18112

169,211,859,448,000 seconds (5.3+ million years) 15

84,605,929,724,000 seconds (2.6+ million years) 14

42,302,964,862,000 seconds (1.3+ million years) 14

21,151,482,431,000 seconds (640+ thousand years) 14

10,575,741,215,500 seconds (320+ thousand years) 14

5,287,870,607,760 seconds (160+ thousand years) 13

2,643,935,303,880 seconds (83.7+ thousand years) 13

1,321,967,651,940 seconds (41.8+ thousand years) 13

660,983,825,972 seconds (20.9+ thousand years) 12

330,491,912,986 seconds (or about 10,472.9 years) 12

5.07252568×1022 m

2.53626284×1022 m

1.26813145 x1022 m

6.34065727×1021 m

3.17032864×1021 m or 3 Zettameters or 310,000 ly

1.58516432×1021 m or about 150,000 ly (1.5z)

7.92582136×1020 m

3.96291068×1020 m

1.981455338×1020 m

9.90727664×1019 meters

18012

17911

17811

17711

17611

17510

17410

17310

1729

171. 9

165,245,956,493 seconds 12

82,622,978,246.4 seconds 11

41,311,489,123.2 seconds 11

20,655,744,561.6 seconds 11

10,327,872,280.8 seconds 11

5,163,936,140.4 seconds 10

2,581,968,070.2 seconds 10

1,290,984,035.1 seconds 10

645,492,017.552 seconds 9

322,746,008.776 seconds 9

4.95363832×1019 m

2.47681916×1019 m

1.23840958×1019 m

6.19204792×1018 m

3.09602396×1018 m

1.54801198×1018 m

7.74005992×1017 m

3.87002996×1017 m

1.93501504 x1017 m

9.67507488×1016 m

1709

1698

1688

1678

1668

1657

1647

1637

1626

1616

161,373,004.388 seconds 9

80,686,502.194 seconds 8

40,343,251.097 sec 8(466 days)(Note: 31,536,000 s/year)

20,171,625.5485 seconds (233.468 days)8

10,085,812.7742 seconds (116.73 days)8

5,042,906.38712 seconds (58.36+)107

2,521,453.19356 s (29.1835 days)

1,260,726.59678 s (14.59+ days) 107

630,363.29839 s (7.29+ days) 106

315,181.649195 seconds (3.64794 days) 106

4.83753744×1016 m

2.41876872×1016 m

1.20938436×1016 m

6.0469218×1015 m [one light year (ly) is 9.4×1015 m]

3.0234609×1015 m

1.5117305×1015 m

7.55865224×1014 m

3.77932612×1014 m

1.88966306×1014 m (about 7-day light travel)

9.44831528×1013 m

1606

1595

1585

1575

1564

1554

1544

1534

1523

1513

157,590.824598 s (1.82 days)106

78,795.4122988 s (.911984 days) 105

39,397.7061494 seconds 105

19,698.8530747 seconds 105

9849.42653735 seconds 104

4924.71326867 seconds(3600 s in hour)104

2462.35663434 seconds 104

1231.17831717 seconds104

615.589158584 seconds (10.259+ minutes)103

307.794579292 seconds 103

4.72415764×1013 m

2.36207882×1013 m (or close to 24-hour light travel)

1.18103945×1013 m

5.90519726×1012 m

2.95259863×1012 m

1.47629931×1012 m

738,149,657 kilometers 1011

369,074,829 kilometers 1011

184,537,414 kilometers 1011

92,268,707.1 kilometers (range of earth-to-sun)1010m

1503

1492

1482

1472

1461

1451

1441

1431

142−1

141−1

153.897289646 seconds 103

76.948644823 s (16+ sec over 1 min) 102

38.4743224115 s (21.53 sec to 1 min) 102

19.2371612058 seconds

9.61858060288 seconds

4.80929030144 seconds 10?

2.40464515072 seconds 10?

1.20232257536 s (1s ≠ perfect tp multiple) 10?

6.0116128768×10−1 seconds

3.0058064384×10−1 seconds

46,134,353.6 kilometers 1010

23,067,176.8 kilometers 1010

11,533,588.4 kilometers 1010

5,766,794.2 kilometers 109

2,883,397.1 kilometers 109

1,441,698.55 kilometers 109 m

720,849.264 kilometers 108

360,424.632 kilometers108 m

180,212.316 kilometers (111,979+ miles)108 m

90,106.158 kilometers 107 m

140−1

139−2

138−2

137−2

136−2

135−3

134−3

133−3

132−4

131−4

1.5029032192×10−1 seconds

7.514516096×10−2 seconds

3.757258048 × 10−2 seconds

1.878629024 × 10−2 seconds

9.39314512 × 10−3 seconds

4.69657256 × 10−3 seconds

2.34828628 × 10−3 seconds

1.174143145978 × 10−3 seconds

5.8707157335 × 10−4 seconds

2.93535786675 × 10−4 seconds

45,053.079 kilometers 107

22,526.5398 kilometers 107

11,263.2699 kilometers or about 7000 miles

5631.63496 kilometers 106

2815.81748 kilometers 106

1407.90874 kilometers (about 874 miles )106m

703.954368 kilometers 105

351.977184 kilometers (218.7 miles 105

175.988592 kilometers (109.35 miles )105

87.994296 kilometers 104

130−4

129−5

128−5

127−5

126−5

125−6

124−6

123−6

122−7

121−7

1.46767893338 × 10−4 s

7.33839466688 × 10−5s

3.66919733344 × 10−5 s

1.83459866672× 10−5 s

9.1729933336 × 10−6 s

4.5864966668 × 10−6 s

2.2932483334 × 10−6 s

1.1466241667 × 10−6 s

5.73312083348 × 10−7 s

2.86656041674 × 10−7 s

43.997148 kilometers 104

21.998574 kilometers104

10.999287 kilometers or within 6.83464 miles104

5.49964348 kilometers 103

2.74982174 kilometers 103

1.37491087 kilometers 103

687.455439 meters 102

343.72772 meters or about 1128 feet 102

171.86386 meters or about 563 feet 102

85.9319296 meters 101

120−7

119−8

118−8

117−8

116−9

115−9

114−9

113−9

112−10

111−10

1.43328020837 × 10−7 s

7.16640104186 × 10−8 s

3.58320052093 × 10−8 s

1.79160026046 × 10−8 seconds

8.95800130232 × 10−9 seconds

4.47900065116 × 10−9 seconds

2.23950032558 × 10−9 seconds

1.11975016279 × 10−9 seconds

5.59875081396 × 10−10 seconds

2.79937540698 × 10−10 seconds

42.9659648 meters 101

21.4829824 meters 101

10.7414912 meters or 35.24 feet or 1.074×101 m100

5.3707456 meters 100

2.6853728 meters or 105.723 inches 100

1.3426864 meters or 52.86 inches 100

67.1343176 cm (19.68+ inches or 6.71×10-1

33.5671588 centimeters or 3.356×10-1 m

16.7835794 centimeters or 1.6783×10-1

8.39178968 cm (3.3+ inches or 8.39×10-2 m

110−10

109−11

108−11

107−11

106−12

105−12

104−12

103−12

102−13

101−13

1.39968770349 × 10−10 seconds

6.99843851744 × 10−11 seconds

3.49921925872 × 10−11 seconds

1.74960962936 × 10−11 seconds

8.7480481468 × 10−12 seconds

4.3740240734 × 10−12 seconds

2.1870120367 ×10−12 seconds

1.09350601835 ×10−12 seconds

5.46753009176 ×10−13 seconds

2.73376504588 × 10−13 seconds

4.19589484 centimeters 4.19589484×10-2 m

2.09794742 centimeters or 2.0979×10-2 m

1.04897 centimeters or 1.04897375×10-2 m

5.24486856 mm (about 1/4 inch) or 5.24×10-3 m

2.62243428 millimeters or 2.62243428×10-3 m

1.31121714 millimeters 1.31121714×10-3 m

.655608568 millimeters or 6.55608568×10-4 m

.327804284 millimeter or 3.27804284 x10-4 m

.163902142 millimeters or 1.63902142×10-4 m

81.9510712 microns or 81.9510712 x10-5 m

100−13

99−14

98−14

97−14

96−15

95−15

94−15

93−15

92−16

91−16

1.36688252294 × 10−13 seconds

6.83441261472 × 10−14 seconds

3.41720630736 × 10−14 seconds

1.70860315368 × 10−14 seconds

8.5430157684 × 10−15 seconds

4.2715078842 × 10−15 seconds

2.1357539421 × 10−15 seconds

1.06787697105 × 10−15 seconds

5.33938485524 × 10−16 seconds

2.66969242762 × 10−16 seconds

40.9755356 microns or 4.09755356 x10-5 m

20.4877678 microns or 2.04877678×10-5 m

10.2438839 microns or 1.02438839×10-5 m

5.12194196 microns (.0002+ inches or 5.12×10-6 m

2.56097098 microns or 2.56097098×10-6 m

1.28048549 microns or 1.2804854×10-6 m

640.242744 nanometers 6.40242744×10-7 m

320.121372 nanometers 3.20121372×10-7 m

160.060686 nanometers or 1.60×10-7 m

80.0303432 nanometers or 8.00×10-8 m

90−16

89−17

88−17

87−17

86−18

85−18

84−18

83−18

82−192

81−192

1.33484621381 × 10−16 seconds

6.67423106904 × 10−17 seconds

3.33711553452 × 10−17 seconds

1.66855776726 × 10−17 seconds  (smallest measurement – 2010)

8.34278883632 × 10−18 seconds

4.17139441816 × 10−18 seconds

2.08569720908 × 10−18 seconds

1.04284860454 × 10−18 seconds

5.21424302272 × 10−19 seconds

2.60712151136 × 10−19 seconds

40.0151716 nanometers or 4.00×10-8 m

20.0075858 nanometers or 2.00×10-8 m

1.00037929×10-8 meters or 10 nanometers

5.00189644×10-9 meters

2.50094822 nanometers or 2.50094822×10-9 m

1.25474112 nanometers or 1.25×10-9 m

.625237056 nanometers or 6.25237056×10-10 m

.312618528 nanometers or 3.12×10-10 m

.156309264 nanometers or 1.563×10-10 m

7.81546348×10-11 m

80−19

79−20

78−20

77−20

76−21

75−21

74−21

73−21

72−22

71−22

1.30356075568 × 10−19 seconds

6.5178037784 × 10−20 seconds

3.2589018892 × 10−20 seconds

1.6294509446 × 10−20 seconds

8.147254723 × 10−21 seconds

4.0736273615 × 10−21 seconds

2.03681368075 × 10−21 seconds

1.01840684038 × 10−21 seconds

5.09203420188 × 10−22 seconds

2.54601710094 × 10−22 seconds

3.90773174×10-11 m

1.95386587×10-11 m

9.76932936×10-12 m

4.88466468×10-12 m

2.44233234×10-12 m

1.22116617×10-12 m

6.10583084×10-13 m

3.05291542×10-13 m

1.52645771×10-13 m

7.63228856×10-14 m

70−22

69−23

68−23

67−23

66−24

65−24

64−24

63−25

62−25

61−25

1.27300855047 × 10−22 seconds

6.36504275236 × 10−23 seconds

3.18252137618 × 10−23 seconds

1.59126068809 × 10−23 seconds

7.95630344044 × 10−24 seconds

3.97815172022 × 10−24 seconds

1.98907586011 × 10−24 seconds

9.94537930056 × 10−25 seconds

4.97268965028 × 10−25 seconds

2.48634482514 × 10−25 seconds

3.81614428×10-14 m

1.90807214×10-14 m

9.54036072×10-15 m

4.77018036×10-15 m

2.38509018×10-15 m

1.19254509×10-15 m

5.96272544×10-16 m

2.98136272×10-16 m

1.49068136×10-16 m

7.45340678×10-17 m

60−25

59−26

58−26

57−26

56−27

55−27

54−27

53−28

52−28

51−28

1.24317241257 × 10−25 seconds

6.21586206284 × 10−26 seconds

3.10793103142 × 10−26 seconds

1.55396551571 × 10−26 seconds

7.76982757856 × 10−27 seconds

3.88491378928 × 10−27 seconds

1.94245689464 × 10−27 seconds

9.7122844732 × 10−28 seconds

4.8561422366 × 10−28 seconds

2.4280711183 × 10−28 seconds

3.72670339×10-17 m

1.86335169×10-17 m

9.31675848×10-18 m

4.65837924×10-18 m

2.32918962×10-18 m

1.16459481×10-18 m

5.82297404×10-19 m

2.91148702×10-19 m

1.45574351×10-19 m

7.27871756×10-20 m

50−28

49−29

48−29

47−29

46−30

45−30

44−30

43−31

42−31

41−31

1.21403555915 × 10−28 seconds

6.07017779576 × 10−29 seconds

3.03508889788 × 10−29 seconds

1.51754444894 × 10−29 seconds

7.58772224468 × 10−30 seconds

3.79386112234 × 10−30 seconds

1.89693056117 × 10−30 seconds

9.48465280584 × 10−31 seconds

4.74232640292 × 10−31 seconds

2.37116320146 × 10−31 seconds

3.63935878×10-20 m

1.81967939×10-20 m

9.09839696×10-21 m

4.54919848×10-21 m

2.27459924×10-21 m

1.13729962×10-21 m

5.68649812×10-22 m

2.84324906×10-22 m

1.42162453×10-22 m

7.10812264×10-23 m

40−31

39−32

38−32

37−32

36−33

35−33

34−33

33−34

32−34

31−34

1.18558160073 × 10−31 seconds

5.92790800364 × 10−32 seconds

2.96395400182 × 10−32 seconds

1.48197700091 × 10−32 seconds

7.40988500456 × 10−33 seconds

3.70494250228 × 10−33 seconds

1.85247125114 × 10−33 seconds

9.26235625568 × 10−34 seconds

4.63117812784× 10−34 seconds

1.15779453196× 10−34 seconds

3.55406132×10-23 m

1.77703066×10-23 m

8.88515328×10-24 m

4.44257664×10-24 m

2.22128832×10-24 m

1.11064416×10-24 m

5.5532208×10-25 m

2.7766104×10-25 m

1.3883052×10-25 m

6.94152599×10-26 m

3.47076299×10-26 m

30−35

29−35

28−35

27−36

26−36

25−36

24−37

23−37

22−37

21−37

5.78897265978 × 10−35 seconds

2.89448632989 × 10−35 seconds

1.44724316494 × 10−35 seconds

7.23621582472 × 10-36 seconds

3.61810791236 × 10−36 seconds

1.80905395618 × 10−36 seconds

9.045269781089 × 10−37 seconds

4.522263489044 × 10−37 seconds

2.26131744522 × 10−37 seconds

1.13065872261 × 10−37 seconds

1.735381494×10-26 m

8.67690749×10-27 m

4.3384537×10-27 m

2.16922687×10-27 m

1.0846134×10-27 m

5.42306718×10-28 m

2.711533591×10-28 m

1.35576679×10-28 m

6.77883397×10-29 m

3.38941698×10-29 m

20−38

19−38

18−38

17−38

16−39

15−39

14−40

13−40

12−40

11−40

5.65329361306 × 10−38 seconds

2.82646806528 ×10−38 seconds

1.41323403264 ×10−38 seconds

7.0661701632 × 10−39 seconds

3.530850816 × 10−39 seconds

1.7665425408 × 10−39 seconds

8.832712704 × 10−40 seconds

4.416356352 × 10−40 seconds

2.208178176 × 10−40 seconds

1.104089088 × 10−40 seconds

1.69470849×10-29 m

8.47354247×10-30 m

4.2367712×10-30 m

2.11838561×10-30 m

1.05919280×10-30 m

5.29596404×10-31 m

2.64798202×10-31 m

1.32399101×10-31 m

6.6199550×10-32 m

3.30997752×10-32 m

10−40

9−41

8−41

7−41

6−42

5−42

4−42

3−43

2−43

1−43

5.52044544 × 10−41 seconds

2.76022272 × 10−41 seconds

1.38011136 × 10−41 seconds

6.9005568 × 10−42 seconds

3.4502784 × 10−42 seconds

1.7251392 × 10−42 seconds

8.625696 × 10−43 seconds

4.312848 × 10−43 seconds

2.156424 × 10−43 s The second doubling

1.078212 × 10−43 s The first doubling

1.65498876×10-32 m

8.27494384×10-33 m

4.1374719232×10-33 m

2.0687359616×10-33 m

1.03436798×10-33 m

5.17183990×10-34 m

2.58591995×10-34 m

1.29295997×10-34 m

6.46479988×10-35 meters

3.23239994×10-35 m The first doubling, step, or layer.

5.39106(32)×10−44 seconds 1.616199(97)x10-35 meters

The Planck Time

The Planck Length

Endnotes:

1. We are in the process of refining this chart and will be throughout 2015 and 2016.

2. Our very first calculation with the Planck Length column (December 2011), resulted in 209 doublings! We found several errors. Then , with help of a NASA astrophysicist, Joe Kolecki (now retired), we updated our postings with his calculation of 202.34. Then, a French Observatory astrophysicist, Jean-Pierre Luminet, calculated 205.1 doublings. We are very open to all ideas and efforts! We are studying the foundations of foundations. One might call it a hypostatic science based on the simplest mathematics, simple geometries and observations about the way the universe coheres.

One might say, "The Finite is finite, the Infinite is the Infinite, and the constants and universals describe the boundary conditions and transformations between each. One manifests a panoply of perfections; the other has only momentary instants of perfection."

Open Questions:

What is a second?

What are Planck Units?

What is time?

What is a meter?

What is length?

What is space?

What happens just before the Planck time at 10-44 seconds? Theorists say that all of the four fundamental forces are presumed to have been unified into one force. All matter, energy, space and time "explode" from the original singularity.

3. Our online "Google" calculator often rounds up the last digit. It is usually beyond the eleventh postion to the right of the decimal point.

4. For more about this place and time, go to Hyperphysics (Georgia State): http://hyperphysics.phy-astr.gsu.edu/hbase/astro/planck.html

5. A copy of this chart has also been published in the following locations:

    a. http://walktheplanck.wordpress.com/2014/12/09/base/

    b. https://utable.wordpress.com/2014/12/12/planck/

    c. http://SmallBusinessSchool.org/page3053.html

    d. ResearchGate                           Documents: 3052, 3054, 3056

If Star Wars VII communicates a real vision of our scientific potential, the intellectual revolution would be unstopable.

The film, Gravity, didn’t even attempt to give us a cosmological view.
Interstellar  had good intentions, but got hung up in a blackhole.

Branson Musk Allen Bezos

Our most-visible space entrepreneurs — Richard Branson, Elon Musk, Paul Allen, and Jeff Bezos — are working hard and investing heavily to open new ways to outer space. NASA and a few professors like Carl Sagan once owned the domain. Certainly it has included some of our best science fiction writers. The blockbuster producers of major motion pictures like Star Wars, Star Trek, 2001, A Space Odyssey, Gravity, ET, Contact, and Close Encounters, teased the imaginations of the public, but did very little to teach.

Interstellar was to change the SciFi metaphor.  They surely tried.  They had the best of the best to help shape their narratives, including Cal Tech’s gravitational-black hole expert, Kip Thorne (author, The Science of Interstellar).  But what can we expect when the working concepts of today’s scientific elite still do not include an integrated Universe View?

The Narratives: Next up.  Just think what might happen if Star WarsVII incorporated iconic storylines where our four space entrepreneurs (pictured above) had a role. Just think what would happen if the best of future science fiction movies built upon each other’s themes and developed a meta-reality which clearly beckoned us all into the future.

New concepts and ideas can be communicated in the drama of a major theatrical production. These four people  could make a huge difference. Educate the public? No, these folks could mesmerize the world.

Let us look at four very simple facts that sound more like science fiction, but these alone truly engender the imagination to see things in new ways:

1. 205.1+ base-2 exponential notations. That takes us from the smallest possible measurement of a length to the largest; that is from the Planck Length to the Observable Universe. That seems unbelievable, but it is true. Simple math. Add some simple geometries and magic happens. Within our most speculative visions, we ask, “Why not try to apply the work with amplituhedrons (new window) and the Langlands program (new window) as a partial definition for the transformations between notations (layers, domains, doublings, or steps)?”  There is a certain magic that happens when you envision the universe in 205+ steps.  Perhaps it will only be a metaphor or possibly a new intellectual art form. It may be, as the intellectual elites might say, “Not Even Wrong,” but what fun the rest of us can have learning a little about an ordered universe and about the limitations of thought!

2. There is no concurrence about the first 60 notations. These notations are not acknowledged by the general scientific community, so none per se  have been knowingly used experimentally! So, be speculative. Use this domain with its no less than a quintillion vertices to construct primal machines. Be bold. Develop a simple logic to control gravity. Extend it to create enormous reserves of a most basic energy that gives rise to quantum fluctuations. Develop logical-albeit-quite-imaginative constructs that educate and challenge us to understand “Beam me up, Scotty!” Have fun and put down that gun (symbolic or otherwise).

3.  Work the ratios between all 205.1+ notations and the natural groupings and sets. That range is naturally divided in half, and then by thirds, fourths, fifths and so on.

Consider the halfway point. Within the 101st notation is the human hair, within the 102nd notation is the width of the piece of paper, within the 103rd notation is the egg (and the sperm is at 100). Yes, there is a concrescence for life in this middle of this definition of the universe.  From here we go on out to discover the remaining 101 to 103+ exponential notations to the Known or Observable Universe.

4.  Consider the potential magic within the thirds. Physical things emerge between notations 67 and 80. That includes all the particles, all the atoms and all the elements of the periodic table. That is the transition from the small scale to the human scale.

Now, consider the transition from the human scale to the large scale. It is highly speculative yet entirely within the scope of a vivid imagination to expect that the Einstein-Rosen tunnels and bridges, commonly known as wormholes (possibly good for inter-galactic travel, just might begin to emerge between notations 136 and 138.  That’s in the range of the two-thirds transition. And, that would put them in the range of 874 to 3500 miles above the earth. The International Space Station is anywhere from 230 to 286 miles above the earth and geosynchronous satellites are around 35,786 kilometers or 22,236 miles above the earth’s equator.

A Dream: Develop a cooperative production studio area that incorporates a space elevator that becomes a major edutainment sector whereby the public can actually begin to participate in the most extraordinary educational scenes of major science fiction productions. Surely, the drama of a meteor shower might be part of it taking scenes directly out of Gravity.

A few scenes from most major films within the science fiction – science fact genre could be readily reused.

Editor’s Notes:  Most of the links stay within the domain of the primary URL displayed above.  Some links go to a Wikipedia reference and open in a new window or tab.  Also, many of these short articles have been duplicated on other sites.  The three primary sites are Small Business School, where the very first reflections about the Big Board-little universe and its Universe Table were first posted in January 2012.  You will also find these postings in several inter-related WordPress pages and within LinkedIn pages.  The related Facebook and Blogger pages will be included eventually.

Endnotes, footnotes and references:

  1. Order in the Universe!?!   http://doublings.wordpress.com/2014/06/03/12/   Written in June 2014, this is one of many postings that attempt to summarize this  endeavor.
  2. Why shouldn’t there be a continuum from the smallest-possible-scale, the Planck Length, to the domain of particle physics? Our first-pass, — most-speculative at best — at least puts something on the table to analyze and criticize.  It is defined by just two components, simple geometries and base-2 exponentiation which creates an abundance of possibility.
  3. Life, an abundance of life, is in middle of this simple mathematical and geometric model of the universe.  So many and so much has been done to take humanity out of the equations, perhaps it is time to look at our perceptions of ourselves all over again.

  4. It all started in December 2011.  We are just in the early stages of our rather novel study of our Big Board – little universe.  It is primarily informed by our naivetés, our simplicity, and our imagination.  Our students sat around their lunch breaks, eating and discussing “the Bibo-lu.”  By September 2013, one of students made it his science fair project.

    Might there be wormholes between 135 to 137th notations?  It is a delightfully speculative, rather whimsical concept, yet we believe it is worthy of further exploration.Of course, we encourage your critical review.  What is our big mistake?  What are we doing wrong?  We would love to know.

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/

#8 There is a secret universe of the exceedingly small.

40

From the Big Board-little universe   on the left, notice the range from Step 41 to 32. Nobody knows what is in there. The only thing to count is the expansion of vertices and the multiple of the Planck Length. With over a trillion vertices at step 40 (underlined in red), an imposing infrastructure could be created. From the Universe Table on the right, the left column (purple background) has five summary blocks from steps 21 to Step 65.

40ut

Notice the vertex count within the first three summary blocks. Why not make these a domain for “geometric philosophies.”

Above Step 65, we are all made up of the same types of particles and atoms, yet individuation is absolute. Trees are trees. Bears are bears. Humans are humans.Below Step 65. The structure of things can not be observed or easily measured, but there is number and geometry. There are over a quintillion vertices at step 60. With so many vertices, certainly a diversity of structure is possible. There is a huge discussion below about that geometry. Simple logic tells us that it is all somehow shared. But, how it merges into the human scale structures and then into our large-scale structures is a long-term research project and challenge. However, our first principles and basic assumptions are to assume continuity/order, symmetry/relations and harmony/dynamics cohere from the Planck Length to the Observable Universe. Let’s speculate, but in the light of the Large Scale universe.

Pink ArrowGreen Arrow

_______________________________________________________________________________________________________________________

Notes about Look-and-feel and Navigation:  If a little thumbnail of any picture is displayed, simply refresh your browser and the full-size version should paste in.  Also, if  any of the letters from right column, the Archives  and Meta   are bleeding through the image of the Universe Table, please open your window larger (possibly to full screen). Usually if you click on the last sentence in each description you will go to the next page.

Geometries.  With four vertices a tetrahedron might manifest.  With six vertices an octahedron, with seven vertices a pentastar, and with eight vertices an octahedral-tetrahedral chain begins with one octahedron and two tetrahedrons. With every two additional vertices that chains grows by either one octahedron or two tetrahedrons.  That chain has been dubbed a TOT line and it can perfectly tile the universe with three dimensions.Tetrahedron

Here is  the tetrahedron (far right):

And, here is the octahedron (center):

And below it, on the left is the pentastar:

Octahedron

FiveTet

Here is a TOT line:  TOT

Further tiling the universe.  As these structures grow, encapsulation becomes possible.  Four tetrahedron and an octahedron enfold within a tetrahedron.  Structures build upon structures.  With an octahedron six octahedrons and eight tetrahedrons are enfolded.   Around the common center point, there are four hexagonal plates, all sloped in 90 degree angles to each other.  Each can readily share edges with other hexagonal plates from abutting tetrahedrons and octahedrons such that the entire universe is tiled with each plate beginning with Step 4 and readily going to Step 206.

Here are two of the most simple views of the entire universe and everything within it. Each notation is necessarily related through the simplest math, geometries, and logic.

Big Board - little universe

Big Board – little universe


Introduction. Within the next ten pages, you will see our universe as we did in our high school geometry classes back on December 19, 2011.

On the left is a small image of what we dubbed, the Big Board-little universe (BiBo-lu). We then wanted to present the data in an even more simple format. On the right is an image of what we call, the Universe Table. Both are still being developed and will be under construction for a long time.

This is a long-term project. If this is your first time to visit, a special welcome to you. You could help us by taking a brief survey at the end of the tour to help us prioritize and focus on our next steps.  If you would like to get further involved, there are four ways:  (1) Provide feedback. Where are we going wrong? Where are we too speculative?  (2) What might constitute steps 2 through 65? We’ve called the “really-real” small scale universe because it is beyond our measuring devices. So, how do we intuit what it is. What other kinds of mathematics might apply at each notation?  (3)  Help us interpret the data.  (4) Help with the writing.   To be involved, please send us a note:  camber – at – utables.com

Both charts represent the same thing — the known universe. The very smallest measurement is the Planck Length. The largest is the Observable Universe. Just to the right, you will see a green arrow. If you are ready to take the tour, just click on that arrow.

Click on the pink arrow on the right  to go to the index of the Big Board-little universe.

Universe Table

Universe Table

 

Pink Arrow

_______________________________________________________________________________________Green Arrow

Notes about Look-and-Feel and Navigation: If any of the letters from right column, particularly the words, Archives and Meta, are bleeding through the image of the Universe Table, please open your window larger (possibly to full screen). If the header for this page is in more than two lines, you also need to open your window a little larger. If you came back here after completing the survey, please click on the pink arrow  on the right   to go on the tour of the Big Board-little universe.

Footnotes: On every page there are references and more notes about the how these charts came to be. The very-simple, philosophical foundations started with concepts of perfection and perfected states within space-time The simple conceptual starting points An article (unpublished) to attempt to analyze this simple model. There are pictures of a tetrahedron and octahedron. A background story: It started in a high school geometry class on December 19, 2011. The sequel: Almost two years later, a student stimulates the creation of this little tour.

Wikipedia on the Planck length Wikipedia on the Observable Universe

This project began when we looked inside a tetrahedron and octahedron (two of the most basic geometric figures).1 Think of the embedded Russian (matryoshka) dolls. Usually there are no more than ten. Yet, here inside each tetrahedron there are four half-size tetrahedrons and an octahedron. Inside the octahedron are six half-sized octahedrons and eight tetrahedrons all sharing a common centerpoint and many common edges. It would seem that one could just kept going forever. Yet eventually you will reach the Planck length and can go no further. To standardize our study, we started at the Planck Length and multiplied it by 2 until we were at the Observable Universe. We were surprised to discover only 202-to-206 notations (or steps or layers or doublings) to go from the smallest to the largest measurements of a length.

1 Every tetrahedron and octahedron have an interior perfection and transform dynamically in ways that capture most, if not all, the processes within nature. A website to learn more about these transformations and the potential for diversity is here: http://loki3.com/poly/transforms.html

The simple math from the Planck Length to the Observable Universe