Question: How do we define natural boundary conditions?

Does “from the Planck Length and Planck Time to the Observable Universe and Age of the Universe” satisfy a proper definition of boundaries?

Does it describe from the smallest to the largest units of space and time?

If I could, I would ask Minhyong Kim of Oxford’s Merton College. He is a full professor of number theory at the Mathematical Institute within the Radcliffe Observatory Quarter. Kevin Hartnett, Senior Writer for Quanta Magazine, has a very fine introductory article about Prof. Dr. Kim’s work. Of course, if Prof. Dr. Kim is just too busy, the young mathematics professor, Jordan Ellenburg, of the University of Wisconsin (mentioned in the article) might have a quick and complete answer!

Mailed on Sunday, December 10, 2017.

Hugh Hewitt

Tweet:  December 1, 2017 Hugh Hewitt is a thoughtful person.

@hughhewitt How about moving out of worldviews and into a mathematically-integrated universe view where by all things, everywhere, for all time are indexed. It is not a theory of everything, but a matrix or grid to see how “it’s” all related. http://81018.org

______________

Notes:  I think Hugh will “get it.” He will see how strange it is that the entire universe from the Planck units to the Age of the Universe can be inscribed or encapsulated by 202 exponential notations.  He just might stop long enough to begin asking questions about the simple logic that we use to understand who we are, where we came from, and where we are going.

Narrow worldviews are the beginning of most of our problems in this minuscule world of ours.

Who else should we try to get involved with this universe view? -Bruce

A tweet and email to Jaron Lanier (see: 1 to 4)

Tweet, Thursday, November 30, 2017

1
@RealJaronLanier A good idea is an integrated view of the universe from the Planck Length/Planck Time to the Observable Universe/Age of the Universe right now. Time becomes derivative. Space, too. Use base-2 and you’ll have 202 notations.

2eFrom Wikipedia: “Jaron Zepel Lanier is an American computer philosophy writer, computer scientist, visual artist, and composer of classical music. A pioneer in the field of virtual reality, Lanier and T. G. Zimmerman left Atari in 1985 to found VPL Research, Inc., the first company to sell VR goggles and gloves…”

Email, Thursday, November 30, 2017

3

Dear Jaron:

A mathematically-integrated universe view is way more cool than any worldview.

As early as 1957, Kees Boeke, a high school teacher, did a base-10 map of the known universe in 40 jumps. His book, Cosmic View, has become a cult classic and tours of the universe based on it have proliferated on the web and IMAX theaters. Yet, it is a bit peculiar that it took 54 years before anybody thought to do a base-2 map. A bit more natural and granular, it is still a look at the totality of our universe.

In December 2011, we backed into that base-2 matrix from our high school geometry classes: https://81018.com/home  The result is over 1000 simple calculations in just 202 notations: https://81018.com/chart

The implications are mind-boggling. First, the academics made some rather large mistakes.

Sir Isaac got us going on absolute space and time and we haven’t deviated since 1686. But, he was wrong. Then another Lucasian Professor from the original Cambridge, Stephen Hawking, got us going on a big bang theory; and though deviants are now everywhere, it may take a few more years before a natural inflation ( https://81018.com/ni ) is fully recognized. Notably Hawking’s one-time boss, mentor, colleague, co-author and collaborator, Neil Turok (Perimeter Institute, Ontario) tells us, Hawking is wrong: https://81018.com/lefschetz

Here’s the key and where you come into this picture. An integrated view of the universe in 202 notations gives us about 60 notations that can only be explored by mathematics and virtual reality (VR). If we unlock that pathway…

I would enjoy talking with you about it.

Most sincerely,
Bruce
****************
Bruce Camber
https://81018.com/bec
Austin, Texas

PS. To unlock that pathway, please see these posts: Langlands I, II, & III

4

“Behind it all is an idea so simple, so beautiful, that when we grasp it — in a decade, a century, or a millennium –
we will all say to each other, how could it have been otherwise?” -John Wheeler, physicist, 1986, Princeton 

Chart1-24

24 of the 202 notations that chart the universe using base-2: A mathematical matrix and system for cosmology, ontology, physics and more

Homepages: Langlands I, II, III Prior |1|2|3|4| 5| 6| 7| 8|9|10|11|12|13|14|15|16|17|18|19|20|Original
CENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY • AUSTIN, TEXAS • USA • NOVEMBER 30, 2017

Base-2 exponentiation taken out 64 times

The Wheat & Chessboard Story
The Checkerboard and Dollar Story

Screen Shot 2017-11-10 at 1.32.06 PMThese numbers are reviewed and discussed on many pages throughout the website, however, this one page (with two different URLs  — http://ExponenetialUniverse.com and https://81018.com/exponential-universe) will always be the focus.

The first row:

  1. 2
  2. 4
  3. 8
  4. 16
  5. 32
  6. 64
  7. 128
  8. 256  which is   28

Screen Shot 2017-11-10 at 1.34.38 PMThe second row:

  1. 512 which is   29
  2. 1024
  3. 2048
  4. 4096
  5. 8192
  6. 16384
  7. 32768
  8. 65,536

The third row:

  1. 131,072 which is   217
  2. 262144
  3. 524,288
  4. 1,048,576   (millions)
  5. 2097152
  6. 4194304
  7. 8,388,608
  8. 16,777,216

The fourth row:

  1. 33,554,432 which is  225
  2. 67108864
  3. 134,217,728 (millions)
  4. 268435456
  5. 536,870,912
  6. 1,073,741,824 (billions)
  7. 2,147,483,648
  8. 4,294,967,296

The fifth row:

  1. 8,589,934,592  which is 233
  2. 17,179,869,184
  3. 34359738368
  4. 68719476736
  5. 137438953472
  6. 274,877,906,944
  7. 549,755,813,888
  8. 1,099,511,627,776  (trillions)

The sixth row:

  1. 2,199,023,255,552 which is 241
  2. 4398046511104
  3. 8796093022208
  4. 17,592,186,044,416
  5. 35184372088832
  6. 70368744177664
  7. 140,737,488,355,328
  8. 281,474,976,710,656

The seventh row:

  1. 562,949,953,421,312  which is 249
  2. 1,125,899,906,842,624 (quadrillions)
  3. 2251799813685248
  4. 4503599627370496
  5. 9007199254740992
  6. 18,014,398,509,481,984
  7. 36028797018963968
  8. 72057594037927936

The eighth row:

  1. 144,115,188,075,855,872 which is 257
  2. 28823037615171174
  3. 576460752303423488
  4. 1,152,921,504,606,846,976 (quintillions)
  5. 2305843009213693952
  6. 4611686018427387904
  7. 9223372036854775808
  8. 18,446,744,073,709,551,616  which is 264

For more…

I Can’t Help But Wonder (Where I’m Bound)

dustyroadsWords and Music by Tom Paxton

Originating page:  There are rules for the road …even for this long and dusty road

It’s a long and dusty road, It’s a hot and a heavy load
and the folks I meet ain’t always kind.
Some are bad and some are good.
Some have done the best they could.
Some have tried to ease my troublin’ mind.

And I can’t help but wonder
where I’m bound, where I’m bound.
Can’t help but wonder where I’m bound.

I have wandered through this land just a-doin’ the best I can,
Tryin’ to find what I was meant to do.
And the people that I see look as worried as can be
And it looks like they are wonderin’ too.

And I can’t help but wonder
where I’m bound, where I’m bound.
Can’t help but wonder where I’m bound.

Oh, I had a little girl one time, she had lips like sherry wine
And she loved me till my head went plumb insane.
But I was too blind to see she was driftin’ away from me
And my good gal went off on the morning train.

And I can’t help but wonder
where I’m bound, where I’m bound.
Can’t help but wonder where I’m bound.

And I had a buddy back home but he started out to roam
And I hear he’s out by ‘Frisco Bay.
And sometimes when I’ve had a few, his old voice comes singin’ through
And I’m goin’ out to see him some old day.

And I can’t help but wonder
where I’m bound, where I’m bound.
Can’t help but wonder where I’m bound.

If you see me passing by and you sit and you wonder why,
and you wish that you were a rambler too;
Nail your shoes to the kitchen floor, lace ’em up and bar the door,
Thank your stars for the roof that’s over you.

And I can’t help but wonder
where I’m bound, where I’m bound.
Can’t help but wonder where I’m bound.

Finite-Infinite

Center for Perfection StudiesThe Big BoardLittle Universe Project • USA • November 2017
Homepages: Just Prior|1|2| 3|4|5|6|7|8|9|10|11|12|13|14|15|16|17|18|19|20|Original

DeepSpace

On More Fully Recognizing The Infinite

By Bruce Camber, November 5, 2017  

Précis: Whenever we look up into a clear night sky, often someone will say, “It goes on forever.” As children we learned to accept the infinitude of space and time. It is deeply ingrained within our thought structures. The problem is that this perception is not quite right.

History. Alchemist Isaac Newton was an experimenter and he made mistakes. He used trial and error. When he described space and time, he was off the mark. Though a genius, he was overly sure of himself and was often arrogant and condescending. Perhaps his penultimate contribution to our universe of knowledge is his sense of space-time and the infinite. These lasting imprints, however, were only partially right.

Isaac Newton, Lucasian Professor at Cambridge University (1669). Wikipedia says: “He was a devout but unorthodox Christian, who privately rejected the doctrine of the Trinity and who, unusually for a member of the Cambridge faculty of the day, refused to take holy orders in the Church of England.”

Infinity: Newton was confused about the nature of infinity. And, his confusion became our confusion; and, it has become the world’s confusion. Infinity to this day remains a problem for many in the academic community because it is too often interlaced with theological and religious language. The God wars between the arrogant among religious thinkers have caused many intellectuals to avoid religious language. A possible resolution to that conundrum is to use those terms that describe the universals and constants that originate in mathematics and science. Those terms should capture facets, a certain essence, that is part of both the finite and the infinite.

Three Faces of Infinity. Though most of these studies on this website are of the finite, the infinite has a substantial, abiding and fundamental role. The infinite describes a never-ending, never-repeating perfection or completeness or a wholeness that is not fundamentally part of the finite. Within these studies the infinite is defined as continuity, that which creates order, sequences, and the nature of time. The infinite is symmetry, that which creates the foundations of relations, of balance and of the nature of space. And, the infinite is defined as harmony, that which creates dynamics, and creates a space-time moment. The use of religious or theological language and concepts is left to each reader.
.
These three simple postulations about form-and-function assume a panoply of necessary-and-abiding transformations. When we look into the clear night sky, we “see” only as far as today’s transformations within this expanding universe.
.
Set within the 202 base-2 notations from the Planck base units to this current moment, the Now, it challenges us to see how the entire universe is bound together within what is initially a most-simple mathematical and geometrical system that profoundly redefines space-and-time and our relation to the universe. In 2011 the first name of the project was “Big Board – little universe.” Those 202 steps, all active, make for a rather intimate place.

We live in a highly-integrated exponential universe.
.
The continuity-symmetry-harmony concepts were first written down in 1972 to define the three faces of a perfected state in space-and-time. Each seemed to hold plausible answers to deeper questions about life and to such practical things as superconductors, quantum fluctuations, heartbeats, sleep, consciousness, reproduction… but the articulation of those facets of the transformations was too weak and generalized. There was no systemic application or coherence until it was discovered that our entire universe is contained within those 202 base-2 notations. So profoundly and deeply integrated, this chart gave us our first introduction to the first 67 notations that provide the footings to explain the homogeneity and isotropy of the universe. Here was the story of the Chessboard and Wheat all over again.  There is so much space-and-time, every strain of mathematics will have its place within these first notations. There is enough room for consciousness, ethics, psychology and all other disciplines that have never had a place on a scientific grid.

This project opens new explorations. Certainly it re-awakens the finite-infinite relation, the nature of light, and the very nature of space-and-time. And, it thrusts enormous responsibility on each of us for our every thought, word and deed because it shows us how everything is related to everything and everything that we do impacts this little universe.

***

For more, click back through the homepages or click here:

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: 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

 


Universe to  Milky Way to our Solar System to Earth to 500 East 4th St. #484, Austin, TX 78701

Just Eight Key Ideas

Center for Perfection StudiesThe Big BoardLittle Universe Project • USAUpdate: December 2017
Homepages:.Just Prior|1|2|3|4|5|6|7|8|9|10|11|12|13|14|15|16|17|18|19|20|Original

Concepts For A Simple Model Of The Universe

1. 202 base-2 notations (doublings, containers, clusters, domains, layers, sets and/or steps)
2. This Quiet Expansion Is A Natural Inflation. Here’s A Sampling.
3. The speed of light has variable speeds and there is a wide variegation of light.
4. Facelift for Space-time
5. Rebirth of the Finite-Infinite Studies
6. Incommensurables, transcendentals and irrational numbers get real.
7. Continuity-symmetry-harmony creates order, relations and dynamics!
8. A Place For Everything, Everywhere, Throughout All Time

Fabric-Space-Time1. These 202 base-2 notations easily encapsulate the universe.

Multiply by 2. Start with the smallest units of measurement, the Planck Time and Planck Length, multiply each by 2, then the result by 2, and continue right up to the largest possible measurements, the Age of the Universe and the Observable Universe. Though both are still constantly expanding, your result will quickly be a totally, mathematically-integrated model of the universe that includes everything, everywhere, for all time in just 202 notations.

Just one more time: Most scientists and scholars now believe that Planck Length and Planck Time are the very smallest possible measurements. If you double them, then double them over and over again, in just 202 doublings, you will have reached the size of our Universe and you will have gone from the beginning of time to this present moment in time.  It sounds impossible, but the math is the math.

•  Rather special. Though simple logic, simple math, it’s still just a model. As a challenge, take this model as a given, to explore in what ways it could be an outline for the initial structures of the universe. Also, if simple logic and math do not work from the Planck Scale to the CERN scale to the Large Scale Universe, then logic and math should not work anywhere. Continuity is continuity. Order is order.

Eventually we added Planck Charge and Planck Mass to our doublings and continued to study how the numbers and the inherent logic worked together.  We have been exploring this model since December 2011 and have discovered that it seems quite sustainable! No scientists or scholars have seriously challenged it. Of course, it is idiosyncratic and it does raise rather unusual questions. Notwithstanding, the universe within just 202 doublings (clusters, containers, domains, layers, notations, sets and/or steps), so far, actually does seem to cohere 1 (Footnotes/endnotes at bottom).

•  Sweet. By the 31st notation, Planck Mass has increased to 103 pounds. That may be an ideal weight for some, yet in this notation, space and time are still so small that science has always considered these values meaningless.  We do not. Though an entirely novel concept, we take it as a given that there was a time when the universe was just 103 pounds. Though necessarily defined by point free vertices, it already has more active ratios than our imaginations can grasp (1.23794×1027). It exceeded one million vertices by the eighth notation, one billion at the 11th, and one trillion at the 15th, and a quintillion vertices at the 17th notation.  To follow that quiet expansion, look at line 9 in the chart below.  More 1-67a

2. This Quiet Expansion is a Natural Inflation. Here’s a sampling.

•  In this model each notation is more than just a simple doubling. The next notation doubles in size and doubles in content and each notation it would appear is currently defining our universe. As we live with the model, grasping the first notation as the start of the universe and the current notation as our current moment in time, all the notations come alive as a process that gradually builds upon itself, every notation changing and growing because of the others. To think about this very different sense of space-time, I did a sampling of six of the notations somewhat evenly spaced across the 202 notations. Of course, these Planck scale doublings are all predictive numbers. Within these six notations that were sampled, each demonstrates a natural inflation that is a quiet expansion.  A sampling  Prime numbers...2

•  Being natural is good. If one were to wonder about the basis for bifurcation theory, chemical bonding, cellular development, and isotropy-and-homogeneity, we may have found a new opening to explore. Then, if one were ask about the source of this thrust, again I think we may have found another good opening to explore.

The alternative is not pretty, elegant, or logical. Any one of the many theories that use the big bang logic of infinitely dense and infinitely hot are incomplete, unnatural, and riddled with questions. Worse yet, the big bang philosophy and psychology have trashed our culture with a de facto nihilism and dystopia.  It is bad physics. It is bad mathematics. And, it’s bad psychology.

•  Sweet.  (1) The quiet expansion continues its doublings until finally at the 67th the folks at the CERN labs (Geneva) are able to pick up something and our core sciences start to evolve.  (2) Truly sweet is that this natural inflation approximates all the cosmological epochs that were defined by big bang theorists; however, in this model there is no bang.     (3) The 67 notations provides more than enough “room” for every possible system of mathematics to be applied. Remember the 64 doublings within the Checkerboard story!  More  And more...

3. Light has variable speeds and many  faces.

Planck’s Equation

•  Planck Length divided by Planck Time equals the speed of light. And, as you might anticipate, with every doubling, that approximation of the speed of light naturally continues. See line 10 within the horizontally-scrolled chart. More

•  That is very special. Light, Time and Length are being redefined by each other and by Charge and Mass.3

Please take note that between the 143rd and 144th notation, the universe is finally one second old and Planck Length has grown to the size defined by the distance that light travels within that second.

c=Lp:Tp
Seasonal look at an equation that resets the universe.

It is simple math and simple logic yet it re-engages us to expand and begin to understand a rather extended spectrum of light, of course, well beyond the visible spectrum and well beyond where it has been defined to date.

This work has given new meaning to an old song (1977), “You light up my life.” The very final refrain goes something like this: “It can’t be wrong when it feels so right…” More

•  Sweet.  Here is the first time light, defined by another very simple mathematical formula, can be found within a simple mathematical progression. The formula from Planck predates Einstein’s!  More

4. Space-time is long overdue for a facelift.

•  The Gnarls and Knots of Space-and-Time. Definitively cast in stone in 1686 when Newton released his blockbuster, Principia Mathematica, time-and-space took on an absolute frame of reference and this view became our commonsense worldview.  It became a realism (and naturalism) whereby our external reality is assumed to exist as it is given and experienced. Both concepts — space-and-time — have been problematic and now some really smart scholars want to throw them both out; we believe it would be better to redefine them in light of our model with its 202 notations. Here, the universe begins within the Planck Scale. Our challenge is to figure out how the universe evolved within those initial notations, and then how it continued to the 202nd notation and to this very second within our expanding universe.

•  It is a very special and rather non-intuitive challenge. There are so many people today who still affirm Newton. They unwittingly do so when one of them looks up into the clear, night skies, observing the panoply of stars, and says, “It goes on forever.” Those wrestling with this new model would say, “We are looking out at our expanding universe. It is still expanding within the 202nd doublings and has been for about 13.82 billion years.”  What happens is that no notation goes away and recedes into a past. Instead, each notation participates in the current definition of the universe and space-and-time, as the fabric of the universe, absorbs every imprint for all time-and-space.

•  Sweet. This new sense of space-time gives it a currency and vibrancy.  The universe has its own clock and as of 2013, the universe was 436 quadrillion, 117 trillion, 076 billion, 640 million  seconds (436,117,076,640,000,000) old.

Let’s turn on the clock.  There are about 31,556,952 seconds per year so at some time we will be adding at least four years of seconds, somewhere over 126 million additional seconds, to bring the total to the current time. A hundred years is just 3.1556 billion seconds. Extend that to 1000 years (31.556 billion seconds), a million years (31.556 trillion seconds), and a billion years (31.556 quadrillon seconds).  Our earth and solar system are approximately 4.5 to 4.6 billion years old.  The estimates for the Milky Way galaxy are about 13.7 billion years (yes, among the original galaxies formed).  Yet, none of it is old; it is all current. All the cosmological epochs are now understood to be ongoing processes of the universe.   More…

5. Let us try to rebirth finite-infinite studies.

 Science and mathematics have made great use the concept of the infinite; philosophers and theologians have as well.  Yet, over the years we have seen how these disciplines tend not to work very well together, especially those elitists among them, particularly among those religionists and theologians who too frequently don’t work well with anybody except their own.

It is no wonder that a few very bold scholars would like to throw out the concept of infinity. It has an awkward personality. It is too big for most of those yellow academic school buses.

•  We suggest a shakedown. First, let us shake out all the concepts that have anything to do with faith statements — these are too often argumentative, emotional, and sometimes even hostile. Within the quiet expansion model, there are several conceptual assumptions that begin to bind the finite and infinite in special-and-heretofore unexplored ways. These concepts include: continuity-order, symmetry-relations, and harmony-dynamics.  Though an unusual combinations of words, some element of each can be readily understood.

 We can do this. The word combinations may be a little gray, but we’ve all used each  word at one time or another.  Taken together and in this sequence, these words become very rare concepts because each reflects a face of the finite (our beingness, whether it is science, mathematics, psychology, philosophy or religion) and also a face of the infinite.  More   Foundations…   Ethics-and-values…

6. Incommensurables, transcendentals and irrational numbers

 Numbers. Perfect, unshakeable continuity occurs within numbers that are called incommensurables, transcendentals and the irrational. These numbers are never-ending and never-repeating. Our old friend, yes, a very dear friend of every circle and sphere, is Pi.  Its very close cousin is e, for Euler’s number.  Euler’s equation also defines the universe.  It is the heart of our exponential universe. Also, meet Pi once again.

•  Through our Looking Glass. Most looking glasses are mirrors. This looking glass can also be a magnifying glass. Isn’t it unusual that a number can seemingly go on forever without repeating itself and with no special pattern or repetition?  Doesn’t that define a certain kind of uniqueness?  …diversity?  Within this class of numbers there is a group that is also known as dimensionless constants.  There are quite a lot of them. Yet, in all the discussions about the many scholarly blogs, papers, articles and books, there does not appear to be any discussion about how these numbers must define some aspect of infinity.  Isn’t that an oversight? If we take it as a given within our new definition of infinity, this very special kind of continuity and order can also be understood as uniqueness and diversity. That’s rather special.

Now of all the scholars I know, perhaps Clifford Pickover or John Barrow have started a process of looking at infinity in this simpler way; we’ll be digging further into their scholarship. More…

But, for now, let’s see if we can take it one step further. Let us take as a given that these rather unique numbers (1) originate within the infinite, (2) tell us about the nature of the infinite, and (3) define the transformation between the finite and infinite.

•  That’s different and very sweet.  So, we now have an ordered-chaos and a discontinuous-continuity defining our finite universe.  The next step is to look at the symmetry/relations and harmony/dynamics.

7. Continuity-symmetry-harmony create order, relations and dynamics!

Sphere to tetrahedron-octahedron couplet
Creative Commons Share-Alike 2.5 Generic license

•   Pi leads the way. Leading the way out of the infinite is pi. Perfect equal circles, then spheres, then multiple spheres, then stacks of equal and doubled spheres. We are probably within the first ten notations or doublings.  And then, a radius discovers a radius and the first line is created. Then the radii begin discovering radii and lines and dimensionless, point free, vertices are created.  Vertices discover vertices and the first triangles are created. Triangles discover triangles and the first tetrahedron is created. Lines, vertices and triangles discover each other and then the first octahedron is created within the tetrahedron. And, quickly, hexagonal plates are discovered. Triangular plates are discovered.  And diversity begins to move into high gear in a perfectly simple, yet increasingly complex manner. Symmetries abound. Perfection is in the air. But the imperfect and asymmetrical are not far behind.  More…

•   Dynamics.  Euler’s number is somehow holding pi’s hand! The two are working those continuity and symmetry relations and are making a universe one step at a time. More…

•   That is a very special challenge. All shapes and forms and sizes and every manner of symmetry relations are being created. The pulse of energy known as Planck Charge creates a thrust, an energy, a direction, a motion, and soon our little universe is pulsing with activity.  More…

First, called the Planck Scale, it transmogrifies into what some call a Grand Unification.  Here is the first doubling. But for all intents and purposes, it is within a self-discovery mode. Yet, rather quickly (understatement), that self-discovery process organizes and begins what we call the Inflationary Processes right up to and including the 67th notation.  Now declared to be the Electroweak Processes, Planck Charge is huge. Planck Mass is huge. Planck Length has become manageable. Planck Time is still too small to be considered anything other than a placeholder.  More…

•   Sweet.  The rest of the cosmological epochs seem to follow rather naturally in line with the continued expansions (doublings and notations) of these Planck base units. Even Planck Temperature, which was placed at the top of the scale because everything begins simply, is now substantial enough to warm things up and to begin looking like our little universe.  More    And more…

8. A Place For Everything, Everywhere, Throughout All Time

•   The first 60 or so notations will never be observed by our machines. These domains are much too small to be picked up by our measuring devices. If there can be no validation by our machines, then we must rely on logic and mathematics. This special domain has a very special word to describe it; it’s call hypostatic. We actually create a real reality when shared by another. It is a really real reality when shared by many.  As more people adopt that structure, we press meaning and purpose into it.  Then we ask, “Is this helpful? Does it seem to describe a real reality for people within our time?”

•   Yes, this is very special challenge for all of us. Because everything, everywhere, for all time must be logically included on this grid — nothing is exempt —  we will hypostatize a place for philosophy, psychology, mathematics, quantum fluctuations, the cosmological constant, religions, the mind, consciousness, sleep, and qualities. More

•   So we have a bit of work to do.  And, we recognize that this work just started in December 2011 and it is still quite naive and young.  The initial goal was to give our high school students a very special chart to integrate Science, Technology, Engineering and Mathematics (also known as a STEM tool).  Today this project is known as the Big Board -little universe.

That was cool. But now, the real work begins. We know we are onto something and have opened a door that is worth exploring. We’ve begun to study some of the older problems within science with such names as inertial frame of reference, point processes, scalar fields and scalar field theory, and path integral formulation. Many of those subjects are listed on line 11 of our horizontally-scrolled chart.

We struggle with it all most everyday so your advice, insight, and help are most welcomed! Thank you.

Footnotes & Endnotes

1 Footnote 1: Time. It is good to be reminded that the first second of the universe is between notation 143 and 144. The estimated 500 million years necessary for galaxy formation takes us up in between notations 197 and 198.

2 Footnote 2: Number groups. We will be studying every prime number as a possibility for a new mathematical system. The obvious, primes from 2 to 199 (3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197), prioritize themselves! The challenge will be to logically build the sequence of systems. It is anticipated that the work of Grothendieck and Langlands (IAS) will contain a few keys. More

3 Footnote 3: Quantum fluctuations and imperfections.  We believe the geometry of imperfection begins with the pentastar and the pentastar gap.  Though possible within notations 1-to-40, simple logic suggests that these quantum geometries do not manifest until Systems (first column, eight row) begin organizing.  More

PS.  There may be more footnotes inserted in the forthcoming days. If you are observing changes in the post, it is because this post is edited every day. It will change, and undoubtedly grow a little longer.

Special Thanks

Friends from New Orleans came for a visit. Their two images have been in my mind’s eye as I worked on this page. I have been constantly asking myself, “Is there a way to write this up so they understand it?”   -BEC

Welcome

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Thumbs Up or Please Comment

We can only grow by helping each other with constructive criticism or reinforcement. A quick little “Thumbs Up” is helpful. If it is “Thumbs down” please send a comment. If you want to just use numbers, -1 for Do not understand, -2 for Confusing and -3 for Disagree.

 

Our most simple assumptions and insights for an alternative theory:

•  The finite-infinite relation can always be understood more profoundly.
•  The key numbers, functions and geometries recognized by our most-respected scholars all begin their work to define the finite-infinite relations within the very first moment that defines space, time and light.
•  Pi and Euler’s number are the first steps within this understanding and define the very beingness of the universe.
•  The Planck numbers are also part of these first steps and all subsequent steps. More…
•  Multiplying the Planck units by 2 over and over and over again creates a grid or a matrixwithin which to begin to understand numbers, functions and geometries. The principles of continuity and symmetry become penultimate. Though space-and-time-light are infinitesimal and thought to be meaningless, this is the beginning of a natural inflation and thrust of the universe.