Zn Mg Ho Quasicrystal icosahedron

As I have already said the E8 lie group is the tetrahedron grid fractal because one of its lower-dimensional forms which is a quasicrystal is made up of tetrahedrons so it is the (64) tetrahedron grid fractal. Also the tetractys forms tetrahedron. The Rhombic Tria- Contahedron, Zn-Mg-Ho QuasiCrystal Electron Diffractions (Shown on the right)

universal math solutions in dimensions 8 and 24

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Three years ago, Maryna Viazovska, of the Swiss Federal Institute of Technology in Lausanne, dazzled mathematicians by identifying the densest way to pack equal-sized spheres in eight- and 24-dimensional space (the second of these in collaboration with four co-authors). Now, she and her co-authors have proved something even more remarkable: The configurations that solve the sphere-packing problem in those two dimensions also solve an infinite number of other problems about the best arrangement for points that are trying to avoid each other.

The points could be an infinite collection of electrons, for example, repelling each other and trying to settle into the lowest-energy configuration. Or the points could represent the centers of long, twisty polymers in a solution, trying to position themselves so they won’t bump into their neighbors. There’s a host of different such problems, and it’s not obvious why they should all have the same solution. In most dimensions, mathematicians don’t believe this is remotely likely to be true.

But dimensions eight and 24 each contain a special, highly symmetric point configuration that, we now know, simultaneously solves all these different problems. In the language of mathematics, these two configurations are “universally optimal.”

The sweeping new finding vastly generalizes Viazovska and her collaborators’ previous work. “The fireworks have not stopped,” said Thomas Hales, a mathematician at the University of Pittsburgh who in 1998 proved that the familiar pyramidal stacking of oranges is the densest way to pack spheres in three-dimensional space.

Eight and 24 now join dimension one as the only dimensions known to have universally optimal configurations. In the two-dimensional plane, there’s a candidate for universal optimality — the equilateral triangle lattice — but no proof. Dimension three, meanwhile, is a zoo: Different point configurations are better in different circumstances, and for some problems, mathematicians don’t even have a good guess for what the best configuration is.

“You change the dimension or you change the problem a little bit and then things may be completely unknown,” said Richard Schwartz, a mathematician at Brown University in Providence. “I don’t know why the mathematical universe is built this way.”

Proving universal optimality is much harder than solving the sphere-packing problem. That’s partly because universal optimality encompasses infinitely many different problems at once, but also because the problems themselves are harder. In sphere packing, each sphere cares only about the location of its nearest neighbors, but for something like electrons scattered through space, every electron interacts with every other electron, no matter how far apart they are. “Even in light of the earlier work, I would not have expected this [universal optimality proof] to be possible to do,” Hales said.

“I’m very, very impressed,” said Sylvia Serfaty, a mathematician at New York University. “It’s at the level of the big 19th-century mathematics breakthroughs.”

>>14333476

A Magic Certificate

It might seem strange that dimensions eight and 24 should behave differently from, say, dimension seven or 18 or 25. But mathematicians have long known that packing objects into space works differently in different dimensions. For instance, consider a higher-dimensional sphere, defined simply as the collection of points some fixed distance from a center point. If you compare the sphere’s volume to that of the smallest cube that fits around it, the sphere fills up less and less of the cube as you go up in dimension. If you wanted to ship an eight-dimensional soccer ball in the smallest possible box, the ball would fill less than 2 percent of the box’s volume — the rest would be wasted space.

In each dimension higher than three, it’s possible to construct a configuration analogous to the pyramidal orange arrangement, and as the dimension increases, the gaps between the spheres grow. When you hit dimension eight, there’s suddenly enough room to fit new spheres into the gaps. Doing so produces a highly symmetric configuration called the E8 lattice. Likewise, in dimension 24, the Leech lattice arises from fitting extra spheres into the gaps in another well-understood sphere packing.

For reasons mathematicians don’t fully understand, these two lattices crop up in one area of mathematics after another, from number theory to analysis to mathematical physics. “I don’t know of a single root cause for everything,” said Henry Cohn, of Microsoft Research New England in Cambridge, Mass., one of the new paper’s five authors.

For more than a decade, mathematicians have had strong numerical evidence suggesting that E8 and the Leech lattice are universally optimal in their respective dimensions — but until recently they had no idea how to prove it. Then in 2016, Viazovska took the first step by proving that these two lattices are the best possible sphere packings (she was joined, for the Leech lattice proof, by Cohn and the other three authors of the new paper: Abhinav Kumar, Stephen Miller of Rutgers University and Danylo Radchenko of the Max Planck Institute for Mathematics in Bonn, Germany).

While Hales’ proof for the three-dimensional case filled hundreds of pages and required extensive computer calculations, Viazovska’s E8 proof came in at just 23 pages. The core of her argument involved identifying a “magic” function (as mathematicians have come to call it) that provided what Hales called a “certificate” that E8 is the best sphere packing — a proof that might be hard to come up with, but that once found carries instant conviction. For example, if someone asked you whether any real number x makes the polynomial x2 – 6x + 9 negative, you might be hard-pressed to reply. But if you realized that the polynomial equals (x – 3)2, you would immediately know that the answer is no, since squared numbers are never negative.

Viazovska’s magic function method was powerful — almost too powerful, in fact. The sphere-packing problem only cares about interactions between nearby points, but Viazovska’s approach seemed as if it might work for long-range interactions as well, like those between distant electrons.

>>14333480

Vortex Math

Vortex Based Mathematics transcends our myopic quantitative understanding for the way Number operates in our holographic universe. Numbers are not just mere quantities. Each has its own unique quality, archetype, and behavior. Vortex Based Math (VBM) is the study of Number in and of itself. Numeronomy as opposed to Numerology. The bedrock of the Quadrivium, Number structures our conceptual waking reality. As Pythagoras once so aptly put it, “All is Number”.

Number was not invented, but discovered. We use commonly agreed upon symbols to represent quantities. The symbol we use for one of something is 1, for two of something is 2, and so on. It’s not like we made up the concept of one and two, this is inherent in our reality. We merely assigned symbols to represent these universally conceptual understandings of quantity, which intrinsically contain quality.

fingerprint of god

This study of number behavior is called ‘Numeronomy’ in contradistinction to Numerology, whereas Numerology finds patterns and correlations in numbers through subjective means, Numeronomy finds patterns and correlations in the interrelationships between Numbers themselves. This difference can be likened to the difference between astrology and astronomy, the former looks at the effects of celestial bodies from a subjective standpoint (from our point of view) while the latter gains knowledge of the interrelationships between the planets through study of the motions of the planets themselves. -TreeIncarnation

In his pursuit to understand the most great name of God in the Bahai’ faith, a man named Marko Rodin discovered this new qualitative form of mathematics. 40 years later there are pioneers in the field such as Randy Powell, Tyler W Thurmond, Rhuben Neal, Anthony Morris, Robert Hutchings, and Daniel & Erica Nunez that are driving the science into practical application and making leaps and bounds into this great lost art.

VBM analyzes the deeper qualitative aspects of Number. There is a certain quality to each number. 3 has a certain “threeness” to it, a trinity. Three relates to two dimensions, since you need exactly three sides to make the simplest linear shape, a triangle. Four has its own qualities that relate to three-dimensional space. The tetrahedron is the simplest platonic form. Tetra means four, which refers to its number of sides(hedra).

The fact that there are a certain number of perfect solids, five, each with its own numerical qualities in its geometry, proves to me that Number could not possibly be something man made. The Platonic solids were not invented. You can prove this to yourself by attempting to make as many 3-D shapes as possible that all satisfy the prerequisites to be called Platonic solids.

Ps.PNG

Mathematics as we know it today is only a tool to symbolize quantities. Vortex-Based Mathematics (VBM) is different because it is a dynamic math that shows the relationships and thus the qualities of numbers rather than the quantities. Numbers are Real and Alive not merely symbols for other things. You will discover that the relationships between numbers are not random or man-made but that numbers are actually elementary particles of which everything is composed. This lost knowledge was well-known to our ancients and is now being uncovered for us today. Gradually you will come to see numbers in a simple yet profoundly perfect three-dimensional matrix grid pattern that forms the shape of a torus.

I would say it like this; everything is trinary in truth and binary in illusion, the decimal system has a left and right side (0.0) only as a result of the point in the centre which is the third “invisible” part that creates the “binary”. One side is macro, one side is micro. The point in the centre is where you are. The centre of radiant consciousness. The third point. The point of awareness that perceives space-time subjectively, dualistically, in order to have an “experience” of separation from the ALL. Number systems are the closest thing we have outside of experience directly of raw energy, the prime power of the matrix construct. Since numbers can be used to understand and view geometry, sound, light and dynamics they are primary to all things in terms of a tool of creation. The next would geometry..” -Rhuben Neal (Barbitone)

>>14333514

The Ancients understood and implemented the axiom of ‘All is Number’ for which Plato later espoused thousands of years later. Over the centuries researchers have uncovered some of this lost wisdom. Realizing their responsibility to preserve and pass down this esoteric knowledge, certain authors dedicate their lives to this lost art. Luckily for humanity, altruism is an embryonic virtue; and the love of wisdom, engrained in the philosophy of man.

“Ancient science was based like that of today on number, but whereas number is now used in the quantitative sense for secular purposes, the ancients regarded numbers as symbols of the universe, finding parallels between the inherent structure of number and all types of form and motion.

Theirs was a very different view of the world from which now obtains. They inhabited a living universe, a creature of divine fabrication, designed in accordance with reason and thus to some extent comprehension by the human mind.

The special regard paid to mathematical studies in the ancient world arose from the understanding that number is the mean term in the progression from divine reason to its imperfect reflection in humanity. At some very early period, by a process quite beyond explanation, certain groups of numbers were brought together and codified. Thus was created that numerical standard, or canon of proportion, which was at the root of all ancient cultures and was everywhere attributed to some form of miraculous revelation.

It was taken to be the nucleus and activating principle of numbers generally, a summary of all the types of progressions and relationships which occur within the field of number and thus a faithful image of the numerically created universe.

In the Known civilizations of antiquity, as China, Babylon and Egypt, the canon of number was venerated as the source of all knowledge and a guide to rightful conduct. Its influence extended from art and music to affairs of state. Every branch of science expressed its theories and observations in terms of that small group of numbers that is the canon.

One numerical code has fashioned the whole of ancient mathematics, music, astronomy, chronology, metrology and every variety of craft. It has left its mark on every relic and tradition of ancient cultures. There is nothing artificial about it, for the conclusion to these researches is that the various orders of natural phenomena do indeed conform to certain similar patterns of number, which provide a framework of number itself.”

The process of reducing a number down to one digit is called many names and is common practice not only in numerology but also in mainstream science. Buckminster Fuller called this subset of math ‘integrated digits’ or ‘indig 9′. It is also recognized in computer science. They call it a ‘digital root’ or ‘digital sum’ or ‘quantum bit’. This process has also been called Kabbalistic reduction or Pythagorean addition. Some other names for this practice include: decimal parity, quantum numerology, theosophical addition, indig , integrated digit, indig 9, modulo nine arithmetic,consecutive summation, distillation, number essence, reduced ordinal values, horizontal addition, and numeric reduction.

Nine in Space and Time

As a student of Marko Rodin, Randy Powell began his own journey exploring the synchromystic behaviour of number and patterns in the realms of the numeric matrix. As a pioneer in the field, he has helped others awaken to the possibility that there exists an underlying pattern in the way reality operates. This pattern, intrinsic to the fabric of time and space, pervades the entire universe, forever giving credence to a negentropic and intelligent creative force behind life.

Ancient vedic yogis and egyptian philosophers conceptualized Number from zero to nine in deep meditation. Nine was the tipping off point, the number every civilization decided to start over with a new glyph, character, or symbol. They discovered reality itself operates in base-10 in the way it is conceptually organized. (Remember there are Nine numbers in Base-10, Zero is the absence of Number)

For a basic understanding of VBM check out Randy Powell’s videos below. His efforts have helped to reach millions of people grasp the concept of vortex math, including myself.

the videos are now up to 16 episodes

https://www.youtube.com/c/theabhakingdom/videos

>>14333541

E8 Lie group and E8 Lattice has sometimes been called the most beautiful mathematical structure in the world. Is it the theory of everything or the true nature of reality? It even has an entire research company behind it called "Quantum Gravity Research"

Note: E8 root system animation provided courtesy of David Madore - www.madore.org.

It is a 248 dimensional object, but it can also be thought of as an object that has 8 spatial dimensions, with 248 symmetries.

Why is this structure important? Well, it happens to show up in parts of String Theory. But also in 2007, a theoretical physicist Antony Garrett Lisi published a paper proclaiming that the mathematics of this structure contained all the particles and forces in the universe. He called it the “the exceptionally simple theory of everything” What Lisi did is he found a relationship between this object and all the forces and particles we know about.

According to the standard model, there are 4 fundamental forces in nature, strong force, weak force, electromagnetism and gravity. And there are 12 fundamental particles. In addition, each of these particles has a antiparticle of itself. In total, these make up all the elementary particles, and there are exactly 28 of them. 24 elementary particles, and 4 force carrier particles. Each of these distinct elementary particles has eight quantum numbers assigned to it, based on the charges each particle has.

This brings the number of distinct particles to 224.

Lisi found that he could mathematically equate all of these particles to one of the points in the E8 model.

But the model has 248 points, not 224. So what about the empty 24 extra points? He simply created 24 new theoretical particles.

Notice how the lines radiate from each point: Lisi also found patterns emerging between particles and forces like they happen in actual reality – for example, when photons interact with leptons, they create electrons. The same thing happens in the E8 lattice. The connections shown within points on the E8 match up to real, known connections between particles in our physical world.

One of the particles he assigned to this shape behaves very much like the force carrier for gravity – a graviton. And this is the key to Lisi claiming that this could be the “theory of everything.” – because it combines matter particles and gravity in one framework.

Lisi's theory does have some problems. One of the biggest problems with the theory is that Lisi combines the force carrying particles, Bosons with the matter particles. String theory does this too, but with the rigorous mathematics to go with it. This math is not present in E8, so Lisi combining these appears to be arbitrary.

In addition, a leading mathematician and expert on Lie groups, Skip Garibaldi wrote a paper in 2010 which mathematically disproved Lisi. But Lisi came back with counter arguments to that.

But the elephant in the room is the 24 new theoretical particles that come out of this theory. So it requires the existence of undiscovered matter. However, since the startup of the Large Hardon Collider, it is possible one of lisi’s 24 new theoretical particles could be found. Lisi himself says, "I'm the first to admit that it's a long shot."

In fact, I think that even if one of the new theoretical particles is found, it would be a huge breakthrough towards proving this theory is on the right track.

How does this compare to string theory? At least there is a way to prove it, unlike string theory – where we don’t really have a way to prove it.

And although E8 has a vast number of dimensions, the physical universe described by the theory would have only the four dimensions we are familiar with and not the 10 or 11 of string theory.

You may have heard of a research organization called Quantum Gravity Research. This group has built a whole company around the idea of E8 being the theory of everything. They have some really well produced and slick videos on you tube that you can check out for yourself. They are like mini movies with actors, special effects, and animations. So I commend them for making this science approachable to everyday people.

The problem with their videos is they are mixing actual proven concepts in physics with a lot of unproven concepts, including new age mysticism. This really diminishes their credibility in my view because the viewer doesn’t know which part is true and which part is conjecture.

E8 is a real mathematical structure. It has been around for a long time. Quantum Gravity Research people did not come up with it.

And I think it’s an interesting idea. All that needs to be done, is for the large hadron collider to find at least one of 24 theoretical particles, and this theory may get hoards of scientists singing its praises.

>>14333600

Garrett Lisi is an American theoretical physicist and adventure sports enthusiast. Lisi works as an independent researcher without an academic position. He's a strong proponent of balance in life.

Lisi is known for "An Exceptionally Simple Theory of Everything," a paper proposing a unified field theory based on the E8 Lie group, combining particle physics with Einstein's theory of gravitation. The theory is incomplete and not widely accepted by the physics community.

https://arxiv.org/pdf/0711.0770.pdf

>>14333541

If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” -accredited to Nikola Tesla

G. I. Gurdjieff was an influential spiritual teacher in the mid-20th century who taught that most humans live their lives in a state of hypnotic “waking sleep”, but that it is possible to transcend to a higher state of consciousness and achieve full human potential, otherwise known as the ‘Great Work’. Alchemy, as it seems, is more than just about turning lead into gold.

Gurdjieff’s taught the fundamental law of three forces and the law of the sevenfold development of energy (the Law of Octaves), and the interrelation of these laws as expressed in the symbol of the enneagram. The Law of Seven is described as “the first fundamental cosmic law” that explains the many processes in Nature. The Law of Three is “the second fundamental cosmic law” and explains why so many things occur in threes. Positive-negative-neutral, past-present-future, length-width-depth, solid-liquid-gas, etc, etc. Gurdjieff said the three centers in a human were the Intellectual Centre, the Emotional Centre and the Moving Centre.

Expanding upon the work of Edward Leedskalnin, Jon Depew’s work at CoralCastleCode.com highly resonates with Gurdjieff’s Law of Three.

The fraction 1/7 = .142857142857.’ Presented as a continuous path within a nine-pointed circle. Seven is the only number that divides into unity leaving a repeating trail of different digits

A man may be quite alone in the desert and he can trace the enneagram in the sand and in it read the eternal laws of the universe . . . If two men who have been in different schools meet, they will draw the enneagram and with its help they will be able at once to establish which of them knows more. -P. D.Ouspensky (?-1947, Russian mathematician, writer, student of G. I. Gurdjieff)

Nine is the unsurpassable limit, the utmost bound, the ultimate extension to which the archetypal principles of number can reach and manifest themselves in the world. The ancient Greeks called nine “the horizon,” as it lies at the edge of the shore before the boundless ocean of numbers that repeat in endless cycles the principles of the first nine digits. Nothing lies beyond the principles of nine, which the Greeks called the Ennead. – Michael Schneider

>>14333637

Nobody calls us P_pers

There was a Q drop where he was giving us a CUE to look at the

Panama Papers

And also to the

Paradise Papers

It's not just the contents, but that these were TWO leaks

Establishing a pattern

There are probably many other stashes of info like these

The 2nd oneParadise Paperswas published

Nov 5 2017

20 days later Q dropped this

Later P_pers was used with connections to the President which may actually mean that the President 'personally made the decision to release this info publicly due to the communications of the people who frequent 4chan. He likely saw there was a critical mass of patriots there

>>14333728

First two are correct

But the last 3 are craziness

Trump has done his job and now the forum we are watching

Is educating people about how to evaluate HONEST public figures

These lessons matter because after the arrests

There will be elections to choose people who will organize a new republic

That will replace the defunctformer USA

Once there is a new republic,

The military will withdraw as an occupying force

And the Law of War will no longer be the law of the land

Witnessing Quantum Coherence: from solid-state to biological systems

https://www.nature.com/articles/srep00885

Abstract

Quantum coherence is one of the primary non-classical features of quantum systems. While protocols such as the Leggett-Garg inequality (LGI) and quantum tomography can be used to test for the existence of quantum coherence and dynamics in a given system, unambiguously detecting inherent “quantumness” still faces serious obstacles in terms of experimental feasibility and efficiency, particularly in complex systems. Here we introduce two “quantum witnesses” to efficiently verify quantum coherence and dynamics in the time domain, without the expense and burden of non-invasive measurements or full tomographic processes. Using several physical examples, including quantum transport in solid-state nanostructures and in biological organisms, we show that these quantum witnesses are robust and have a much finer resolution in their detection window than the LGI has. These robust quantum indicators may assist in reducing the experimental overhead in unambiguously verifying quantum coherence in complex systems.

>>14333821

>>14333824

CLOWN shills like you don't get any sauce

Q Researchers go find their own sauce,

AND MORE!!!

Because they actually know how to think critically

To investigate

And to dig.

>>14333967

Now I understand why they chose that location

It draws the enemy out of their lairs

And into unfamiliar territory

Where they cannot get lost in a crowd

They were expecting physical attacks

And now they have trapped the clowns that were suckered into it.

>>14333979

Lots of Q+

Heat being added to the system

>>14334064

Play this instead