Inside the Mathematical Universe

This Nobel Prize award was of interest to me.

The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007


"for having laid the foundations of mechanism design theory"

Leonid Hurwicz

Eric S.Maskin

Roger B. Myerson

I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

A Theory is Born

This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.

It was then that I realized that a "mathematical mind," although one which had it's fair share of problems, as in John Nash's case, was one deeply entrenched in finding "the pattern." The pattern is a interesting conclusion "about reality." It is about the math that lies at it's basis.

It was at this point being involved in Province wide negotiation, that I thought of trying to implement some of "this strategy" albeit unbeknownst to others, by bringing in factors that would change and alter the current negotiation practises.

I was not sure I understood the full implication of game theory or it's structure, but it was important enough to see if it's applicability could influence the current negotiation process. This was trying to implement the mathematics lying at the basis of reality and bringing new directions to a current process currently at the hands of two opposing bodies.

It is not important how I went about this, just that such applicability is brought back into the social sphere for demonstrative purposes.

See: The Information Triangle

Backreaction: The Information Triangle

Shadow Dancing in the Light

Man ponders shadow, or shadow ponders itself?

I am currently working on this.

Models built for thought progression were important features in understanding what any theory does for us as we want to progress our views of the world we live in. No matter how abstract the idea, if it can lead one to new perceptions and bring new perspective to the way in which we see the world then it is not the illusions with which we wish to further perpetuate, but the understanding of our place in the world.



Plato- Book VII of The Republic-The Allegory of the Cave

And now, I said, let me show in a figure how far our nature is enlightened or unenlightened: --Behold! human beings living in a underground den, which has a mouth open towards the light and reaching all along the den; here they have been from their childhood, and have their legs and necks chained so that they cannot move, and can only see before them, being prevented by the chains from turning round their heads. Above and behind them a fire is blazing at a distance, and between the fire and the prisoners there is a raised way; and you will see, if you look, a low wall built along the way, like the screen which marionette players have in front of them, over which they show the puppets.

See here as well.

This above was taken from an earlier post so one understands that what is being expounded in shadow dancing, is derived from a better understanding of the analogy of the cave. And again below it is not without the understanding of the depth of of what is implicate din Plato's cave that we struggle to define aspects of the reality .

To them, I said,
the truth would be literally nothing
but the shadows of the images.
-Plato, The Republic (Book VII)

Of course, to Plato this story was just meant to symbolize mankind's struggle to reach enlightenment and understanding through reasoning and open-mindedness. We are all initially prisoners and the tangible world is our cave. Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.

What is equally interesting is the literal interpretation of Plato's tale: The idea that reality could be represented completely as `shadows' on the walls

The Artist In Us All

""Deep play means no analysis, no explanation, no promises, no goals, no worries. You are completely open to the drama of life that may unfold.""-Dianne Ackerman

See more on Deep Play.

This post entry under the heading of the "Artist in us All," is a culmination of information that I had transmitted on Bee's discussion board, under the heading of Art and Communication.

The whole jest is a preclude to a much more detailed analysis of Art and Science and the following post to this one, prepares the readers for a understanding that I myself strongly advocate.

But before I move to far ahead of myself, let me take you to the post entries that will prepare one for future considerations.

The Format

A final aspect of beauty that was often cited by readers might be called "deep play". This is the sense that we are actively engaged with something outside ourselves that is responding to us - rather than watching a game of our own construction or watching nature from a detached distance.

The timing of "preparing the format" asks that any given time be considered as the source from which we will move human experiences further along it's path to growth. We can "remove names" and this exercise will be of value to who ever inserts their name or responds accordingly to the questions posted in that same name.

This is the valuation of interplay that is part of our own gathering system. This post then is the template for what is happening within your own self. A "perceived constant" is being examined in relation to your contact with reality? What ever that is for you at this time?

Bee,

"It is sometimes the scientist who takes "to the edge." Then it is the artist, who takes us much further." Plato( this is my quote Bee :)

Susskind did exactly this, by envisioning a rubber band? Some may laugh, yet, it is a mathematical insight.

Penroses Influence on Escher

During the later half of the 1950’s, Maurits Cornelius Escher received a letter from Lionel and Roger Penrose. This letter consisted of a report by the father and son team that focused on impossible figures. By this time, Escher had begun exploring impossible worlds. He had recently produced the lithograph Belvedere based on the “rib-cube,” an impossible cuboid named by Escher (Teuber 161). However, the letter by the Penroses, which would later appear in the British Journal of Psychology, enlightened Escher to two new impossible objects; the Penrose triangle and the Penrose stairs. With these figures, Escher went on to create further impossible worlds that break the laws of three-dimensional space, mystify one’s mind, and give a window to the artist heart.

But on the other hand you speak about the longevity of the musician, in place of what artist can do, but I would remind you of Dali's picture "on time" as a masterpiece?

Not least to mention his geometrical views on the hypercube and the crucification?

Number theory is the type of math that describes the swirl in the head of a sunflower and the curve of a chambered nautilus. Bhargava says it's also hidden in the rhythms of classical Indian music, which is both mathematical and improvisational. He sees close links between his two loves -- both create beauty and elegance by weaving together seemingly unconnected ideas.

There is a "inherent beauty in the mathematics" when we think about this music?

Not to mention the relationship of the "Monte Carlo methods" in relation to the cubists.

Bee, you were to soft in your opinion of artists when I am showing you otherwise. :)

Here is another quote you might recognize in relation to a form of mathematics.

An equation means nothing to me unless it expresses a thought of God.Srinivasa Ramanujan

It is how Srinivasa Ramanujan received his "inspiration" and the place from which this mathematics emerged, that few people realize is of significance.

From "a chaotic mind" it resolved itself "to the subconscious" that we realize the pattern that is inherent underneath.

12:50 PM, October 10, 2007

Part of the understanding here is our connection to the "universality of the subconscious mind" and it's reservoir of impressions received, as we try to express our perspective of the world. "How deep" is your subconscious mind, that you would not understand the complexity of all "self evident information" makes you who you are? That this interplay that takes place with you and your environment, is an exchange that is taking place not only on a "deductive and inductive Archean constant" that all of us would then be writing the "postulate of experience" here?

Bee,

It is not about God, but how we dress up the mathematics in our everyday lives. Then, we have to decipher the context of the mathematics other then the "resolved experience-science" we have in moving mathematics forward?

To Srinivasa Ramanujan it was about his dream and how he received his messages, yet, how absurd that such a place as the subconscious we could receive such inspiration?

It is not about "heliocentrism" that we are, "the centre of the universe," but rather, that we are connected to the universe in such a way?

Liminocentric structures?

Finally, we also hope that this series furthers the discussion regarding the nature and function of 'the mandala'. In the spiritual traditions from which Jung borrowed the term, it is not the SYMMETRY of mandalas that is all-important, as Jung later led us to believe. It is their capacity to reveal the asymmetry that resides at the very heart of symmetry. By offering a new view about how consciousness itself is structured - in a fundamentally paradoxical fashion - and how these structurings are reflected in principles according to which the mandala is organized, we are able in this series to show how personality itself may be thought of as having an essentially 'liminocentric' design.

The "source of symmetry" is our perfection with the universal inherent in each of us. Our delving into this large pool is in part the effort of our recordings, that what is gained in experience is mapped on the brain's structure, and beyond that. This interplay has to have consequence? Not just in the development of the brain's structure, but far beyond what we see of the physical body.

1:40 PM, October 10, 2007

Bee:I tend to believe we are taking ourselves too seriously. If there is a God how could we be sure we'd be able to understand his (her?) thoughts? Genderless for sure eh?:)

From a psychological perspective and I am no expert for sure, but our present state of consciousness has to be supported in one way or another. Animus and Anima, depending on that gender?

An "all wise mother figure" who appears in your dream( your higher self speaking to you), or for those men, who recognize that the higher self is talking to them in a way that they have their "wise white haired person offering insight."

But before I loose you here, I wanted to show you that on first appearance Jean Shinoda Bolen is telling a story. This is the artist aspect of herself, showing the depth of our natures. She is showing it in a way that is helping people identify aspects of themself. Showing underlying causes for such "fantasy development."

Richards Wagners's Ring of Nibelung Jean Shinoda Bolen, M.D. Ring of Power was interesting.

Strange that we could have seen A Jungian Understanding of the Wagner's Ring cycle, portrayed in todays world and how could have this been accomplished. But by re-introducing a fictional story and embuing it with the archetypal structures of what Jean Shinoda Bolen called, "The Abandon Child, The Authoritarian Father, and the Disempowered Feminine."

Under the search of "Jean Shinoda Bolen on my site." One reason the "nav bar" was of good use. If you have a search feature otherwise?

It's never clear from all appearances, yet there is a deeper understanding of what is culminating in a person's experiential life.

I follow your thoughts on Bohm for I read him a long time ago too, and somehow it seems fitting that art and communication, might have incorporated "language as a developmental phase" to seeing reality, in new ways?

Sort of like being initiated into string theory, to help get past some of the blockages that are stopping science from developing further?

7:56 AM, October 11, 2007

These blockages manifest within the self, and become impediments to our experience and progression to further learning. This is not to say learning stops. It is the "greatest effort" that what has become apparent in the state of self evidential experience, is the potential to great transport human experience beyond the self's own limitations. Provides for, the "intuitive leaps" necessary once the basis of this experience is resolved. How deep this blockages goes, that the subconscious mind will allow images to transport the self to a future place for consideration.

Bee:It might not be an universally applicable source of inspiration?

To Hardy I don't think that mattered one bit. It is just part of the process to understanding how we humans like to fabricate our realities. Yet, there is a universal connection that we have that is a very consistent. One in relation to the artist in us all.

Namagiri, the consort of the lion god Narasimha. Ramanujan believed that he existed to serve as Namagiri´s champion - Hindu Goddess of creativity. In real life Ramanujan told people that Namagiri visited him in his dreams and wrote equations on his tongue.

We are the best predictors of ourselves and our experiential conditions that we put forward. A model perhaps in developmental insight as to what we have to do in science?

So in the psychology......

If any such resolve is not forthcoming in our "supposed awake reality," then there is a culminating effect that someone(archetypal) is speaking to us to help us resolve these disputes. "Our universality" is there in us all. I see no race religion, or gender.

So like Jean above we write our own story, and show the affect our experiential life has on the new conditions if not resolved.

So I apply these things to our current search for understanding the math creation (calculus for Newton)and the derivatives needed to push insight further into "new realms of experience."

Would you denigrate Calculus as a language to helping you discern the nature of reality? Newton knew he had to do something. Einstein realize it when Grossman was developing a new language, as was Reinmann preparing us from his predecessors, on the issue of "non euclidean geometries?" Gauss was very delighted with his student

8:18 AM, October 11, 2007

Understanding that human experience is "cradling the times for breakthroughs to further understanding" is the incubation period necessary for preparing these intuitive leaps and future predictability.

Here 50% or 100% provides for whether the human side of us really understands and knows what is necessary for us to progress. How would the probability of all human experiences to know to draw for one own postulate, "the self evident" and then understand that the leap to growth in experiences requires this and this?

While such is th evastness of the human experience it is not without our understanding that each of us has repercussions of actions to every decision we make. I cannot tell which, only that this probability can be played out time and time again and it will result in the growth of each of us at varying times. There is a constancy that is being talked about here that can be debated, but as far as I can tell this is the postulate that has been written.

To them, I said,
the truth would be literally nothing
but the shadows of the images.


-Plato, The Republic (Book VII)

I used this quote in "your other thread" for a reason. Images? Think about this for a minute.

If one can "translate" and transfer the image mathematically for each other, then what has happened? A level of communication not understood before?


Arthur Miller

Miller has since moved away from conventional history of science, having become interested in visual imagery through reading the German-language papers of Einstein, Heisenberg and Schrödinger - "people who were concerned with visualization and visualizability". Philosophy was an integral part of the German school system in the early 1900s, Miller explains, and German school pupils were thoroughly trained in the philosophy of Immanuel Kant.

When I referred to Susskind I did so for a reason as well. This is the culmination of what mathematically is derived. Thus, the image is a culmination, yet, it is only a "shadow of the truth."

I used Magritte, When is a Pipe a Pipe painting, to illustrate this.

Hawking shows this in his book as well.

You have to remember Plato's analogy was even used by Gerardus t'Hooft. See here and Heisenberg so you are in good company.

P.A.M. Dirac was a gifted mathematical inventor who saw how quantum mechanics rises from classical mechanics, yet transcends it. Dirac did not know of the Bohr atom when he arrived at Cambridge in 1923; yet he quickly began contributing to the mathematical structure demanded by quantum phenomena, discovering the connection between the Poisson bracket and the commutator of Heisenberg”s matrix representation of observables. Then, with careful attention to its classical antecedent, Dirac found the equation governing the evolution of the matrix elements which had eluded Heisenberg in the operator ihdA/dt = [A,H]. He then went on to discover spinors in describing the relativistic electron and antimatter implied by the quantum in relativistic space-time. Dirac conceived the many-time formulation of relativistic quantum mechanics and laid the foundations of the Feynman path integral thereby opening the way to quantum electrodynamics. Newton synthesized the foundations of classical mechanics. In fitting kinship, Dirac, who did the equivalent for quantum mechanics, filled the chair at Cambridge held by Newton.

Some people are better suited to visualization then others, and this comes out in some mathematicians and in artists as I had shown you of Escher and Dali. I could never judge Dali for his character an his life, but I can say how important he tried to push the envelope. Maybe for all his indulges, he thought if he could think of the cross and his geometrically tendency he might have found some relation?


Of course, to Plato this story was just meant to symbolize mankind's struggle to reach enlightenment and understanding through reasoning and open-mindedness. We are all initially prisoners and the tangible world is our cave. Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.

What is equally interesting is the literal interpretation of Plato's tale: The idea that reality could be represented completely as `shadows' on the walls

12:19 PM, October 12, 2007

Comparing Amplitutdes of the String

Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state.

So one tends to get in this mode of thinking, that the way in which one measures "aspects of reality" is somehow couched in the mathematics of a kind, and unbeknownst to us, a hoped a pattern is revealed?

Artist's impression of the setup.

The disks represent the bosonic condensate density and the blue balls in the vortex core represent the fermionic density. The black line is a guide to the eye to see the wiggling of the vortex line that corresponds to a so-called Kelvin mode, which provides the bosonic part of the superstring

To have gone to such extremes of thinking of the reality as one would of the elemental design, one hopes to see the "new perspective" will encourage new pathways to develping new phenomenological directions.

As absurd as this sounds, the current framework did not support the existing structure any longer in regards to sciences development, so theoretical insight needed to be pushed. New ways in which we could look at reality could provide for new experimental considerations?

It would not be unlike Bohm to introduce his system, and then ask us to think i the possible new way in which language has somehow been transformed. Does it not seem by our very nature, language accustoms perspective to have it's natural physical gestures as expression? Not just physical, but mental as well?

The Landscape Again and again....

Of course I am not qualified to have an opinion about whether the landscape is of value or not. That there are people on two sides that have differing opinions, and based on what they have as proof to the contrary, of one or another, is whether the issue is ready for a forgone conclusion? Whether the person in association is a forgone conclusion.

Topography of Energy?

7. dorigo - October 8, 2007
Hi anomalous,

I will take your word for it - I must admit I was not aware of the breadth of his works. However, Nima’s position on the anthropic landscape of ST is enough for me to warn any student about his views.
Cheers,
T.

Stanley Mandelstam Professor Emeritus Research: Particle Physics

My research concerns string theory. At present I am interested in finding an explicit expression for the n-loop superstring amplitude and proving that it is finite. My field of research is particle theory, more specifically string theory. I am also interested in the recent results of Seiberg and Witten in supersymmetric field theories.

So by looking at a statement of a person, I wondered, has such a conclusion been reached and support by documentation that will help me decide?

Outrageous Fortune

There’s an article in this week’s Nature by Geoff Brumfiel entitled Outrageous Fortune about the anthropic Landscape debate. The particle physicists quoted are ones whose views are well-known: Susskind, Weinberg, Polchinski, Arkani-Hamed and Maldacena all line up in favor of the anthropic Landscape (with a caveat from Maldacena: “I really hope we have a better idea in the future”). Lisa Randall thinks accepting it is premature, that a better understanding of string theory will get rid of the Landscape, saying “You really need to explore alternatives before taking such radical leaps of faith.” All in all, Brumfiel finds “… in the overlapping circles of cosmology and string theory, the concept of a landscape of universes is becoming the dominant view.”

The only physicist quoted who recognizes that the Landscape is pseudo-science is David Gross. “It’s impossible to disprove” he says, and notes that because we can’t falsify the idea it’s not science. He sees the origin of this nonsense in string theorist’s inability to predict anything despite huge efforts over more than 20 years: “‘People in string theory are very frustrated, as am I, by our inability to be more predictive after all these years,’ he says. But that’s no excuse for using such ‘bizarre science’, he warns. ‘It is a dangerous business.’”

I continue to find it shocking that the many journalists who have been writing stories like this don’t seem to be able to locate any leading particle theorist other than Gross willing to publicly say that this is just not science.

For more about this controversy, take a look at the talks by Nima Arkani-Hamed given today at the Jerusalem Winter School on the topic of “The Landscape and the LHC”. The first of these was nearly an hour and a half of general anthropic landscape philosophy without any real content. It was repeatedly interrupted by challenges from a couple people in the audience, I think David Gross and Nati Seiberg. Unfortunately one couldn’t really hear the questions they were asking, just Arkani-Hamed’s responses. I only had time today to look at the beginning part of the second talk, which was about the idea of split supersymmetry.

Update: One of the more unusual aspects of this story is that, while much of the particle theory establishment is giving in to irrationality, Lubos Motl is here the voice of reason. I completely agree with his recent comments on this article. For some discussion of the relation of this to the Intelligent Design debate, see remarks by David Heddle and by Jonathan Witt of the Discovery Institute.

A sphere with three handles (and three holes), i.e., a genus-3 torus.

Jacques Distler :

This is false. The proof of finiteness, to all orders, is in quite solid shape. Explicit formulæ are currently known only up to 3-loop order, and the methods used to write down those formulæ clearly don’t generalize beyond 3 loops.

What’s certainly not clear (since you asked a very technical question, you will forgive me if my response is rather technical) is that, beyond 3 loops, the superstring measure over supermoduli space can be “pushed forward” to a measure over the moduli space of ordinary Riemann surfaces. It was a nontrivial (and, to many of us, somewhat surprising) result of d’Hoker and Phong that this does hold true at genus-2 and -3.

So by following the conversation I meet up with was offered as evidence, this then, leads me to follow up in even greater depth. How can one give a person such a title of "in question," based on what another posts, as to their characrter of study?

The equations of string theory specify the arrangement of the manifold configuration, along with their associated branes (green) and lines of force known as flux lines (orange). The physics that is observed in the three large dimensions depends on the size and the structure of the manifold: how many doughnut-like "handles" it has, the length and circumference of each handle, the number and locations of its branes, and the number of flux lines wrapped around each doughnut.

11. Plato - October 9, 2007
Tammaso:However, Nima’s position on the anthropic landscape of ST is enough for me to warn any student about his views.
So is this support for what you think is relevant. I have followed the discussions between Lee Smolin, Jacques Distler, Clifford of Asymptotia and Peter Woit of “Not Event Wrong.”

I wonder if you had “more information,” if this might change your statement above, and conclusion, you may have drawn from seeing another view? One you might not of seen before?

Is mathematical consistency of value to you when it is developing?

So with a certain knowledge already gain from following other discussions I am quick to ask if such a link to another is good enough for assigning credibility to another person. Especially one who holds a "view point" other then one held by Peter Woit. After all is Peter Woit not a mathematics man? I am really asking.



So based on this assumption(what I ask others not to do) about Peter Woit or string theorist while having a basis in mathematics. I am asking, that if such a development that is, "current and consistent in mathematics" why would this contradict and qualify any individual "to other then" what mathematics requires to move forward. To try and attempt too, "connect to reality" in a phenomenological way?

The basis of my insight is in fact current collider technologies, and the relationship I see to bulk production gravitons. If Gr is an outcome of String theory then, any pocket universe that demonstrates some mathematical consistency should, be of relevances in one's decision?

It is always a work in progress that such questions continue to push me forward. In that process I "vaguely recall" that Jacques did not think the association to modular form in terms of the genus figure could ever be related to that pocket universe?

I must say to you that in my case I am asking of Calabi Yau's, can have some predictability to how universe selection is accomplished and thus any steady development in mathematics pushing that landscape to credibility?

PHENIX Muon Spectrometers

At the RHIC beamline at Brookhaven National Laboratory, the three-story-tall PHENIX muon spectrometers, designed and built by Los Alamos scientists in collaboration with other scientists from around the world, witness collisions between gold ions (red/yellow, approaching from the right) and deuterons (white, coming in from the left). Two doughnut-shaped magnets (green) steer the ions in these 100-GeV-per-nucleon beams, traveling at 0.9999 the speed of light, into head-on collisions. In such high-energy collisions, the quarks and gluons that make up the protons and neutrons of the colliding particles interact directly. The collision shown here releases pions (purple), which are only partially stable; some of them decay into muons (white). Most of the pions are absorbed inside the hadron absorber (the green magnet). The detector panels (brown) track the muons.

By studying the decay products of these collisions and their behavior, we learn about the fundamental physical laws governing the strong interactions in the universe. These laws and their effects were much more obvious in the high-energy state of the very early universe. The same physical laws hold just as much sway today, but their effects are much more subtle in the low-energy states in which we find most matter now. In order to tease out their effects and patterns, we attempt to recreate those earlier, high-energy and high-density conditions at places like RHIC and study them with detectors like the PHENIX.

>

Muon: An elementary particle with negative electric charge and a spin of ½. It has a lifetime of 2.2 µs, longer than any other unstable lepton, meson, or baryon except for the neutron. Because their interactions are very similar to those of the electron, a muon can be thought of as a much heavier version of the electron. Due to their greater mass, muons do not emit as much bremsstrahlung radiation; consequently, they are much more penetrating than electrons.

Euler's Konigsberg's Bridges Problem

"Liesez Euler, Liesez Euler, c'est notre maître à tous"
("Read Euler, read Euler, he is our master in everything") - Laplace

I should say here that the post by Guest post: Marni D. Sheppeard, “Is Category Theory Useful ?” over at A Quantum Diaries Survivor, continues to invoke my minds journey into the abstract spaces of mathematics.

The river Pregel divides the town of Konigsberg into four separate land masses, A, B, C, and D. Seven bridges connect the various parts of town, and some of the town's curious citizens wondered if it were possible to take a journey across all seven bridges without having to cross any bridge more than once. All who tried ended up in failure, including the Swiss mathematician, Leonhard Euler (1707-1783)(pronounced "oiler"), a notable genius of the eighteenth-century.

As a lay person being introduced to the strange world of mathematics it is always interesting to me in the way one can see in abstract processes.

The Beginnings of Topology...The Generalization to Graph Theory
Euler generalized this mode of thinking by making the following definitions and proving a theorem:

Definition: A network is a figure made up of points (vertices) connected by non-intersecting curves (arcs).

Definition: A vertex is called odd if it has an odd number of arcs leading to it, other wise it is called even.

Definition: An Euler path is a continuous path that passes through every arc once and only once.

Theorem: If a network has more than two odd vertices, it does not have an Euler path.

Euler also proved the converse:

Theorem: If a network has two or less odd vertices, it has at least one Euler path.

Leonhard Paul Euler (pronounced Oiler; IPA [ˈɔʏlɐ]) (April 15, 1707 – September 18 [O.S. September 7] 1783) was a pioneering Swiss mathematician and physicist, who spent most of his life in Russia and Germany. He published more papers than any other mathematician of his time.[2]

Euler made important discoveries in fields as diverse as calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function.[3] He is also renowned for his work in mechanics, optics, and astronomy.

Portrait by Johann Georg Brucker- Born April 15, 1707(1707-04-15)Basel, Switzerland and Died September 18 [O.S. September 7] 1783
St Petersburg, Russia

You have to understand that as a lay person, my education is obtained through the internet. This is not without years of study(many books) in a lot of areas, that I could be said I am in a profession of anything, other then the student, who likes to learn a lot.

To find connections between the "real world" and what a lot think of as "to abstract to be real."

Any such expansionary mode of thinking, if not understood, as in the Case of Riemann's hypothesis seen in relation to Ulam's Spiral, one might have never understood the use of "Pascal's triangle" as well.

These are "base systems of mathematics" that are describing processes in nature?

See:Euler - 300th anniversay lecture

Production of Gravitational Waves

"My heart leaps up when I behold A rainbow in the sky."
William Wordsworth-- My Heart Leaps Up

This post is based on "the production" and not the detection of gravitational waves.

It does serve it's purpose, that I explain what I have in terms of detection, that one moves from that process, to actual production of them.:) Now I am not talking about Taylor and Hulse and PSR 1913+16 either.


Dr. Kip Thorne, Caltech 01-Relativity-The First 20th Century Revolution

Weber developed an experiment using a large suspended bar of aluminum, with a high resonant Q at a frequency of about 1 kH; the oscillation of the bar after it had been excited could be measured by a series of piezoelectric crystals mounted on it. The output of the system was put on a chart recorder like those used to record earthquakes. Weber studied the excursions of the pen to look for the occasional tone of a gravitational wave passing through the bar...

Einstein@Home

LIGO:

Nor am I talking about Kip Thorne, Webber, or Ligo operation for that matter.

I am actually talking about the creation of gravitational waves.

Now imagine that you see this "slide of light," and you were to think that in front of you, this would help you see where the gravitational field would be falling away from you. You would be sliding "ahead" from where you pointed and created this effect.

So now you get the idea here of what I propose in the production of gravitational waves versus the detection of them?:)

Up until this point in time, I've used the term "generate" to describe the capability of producing a gravitational field, but since I'm not aware of any way of creating a gravitational field from nothing, a more accurate term might be to "access and amplify" a gravitational field. And this is what I mean when I use the term "generate". To understand how gravity is generated or "accessed and amplified", you must first know what gravity is.

While watching a television program I listened to what he had to say. For people interested in gravity, Quantum or otherwise, this topic helped captured my change in thinking that is postulated, and one I am giving thought right now.

The Problem

Gravitational waves are produced when there is a change in the curvature of spacetime. Since the shape of spacetime depends only on how mass is distributed, events that change the distribution of mass cause gravitational waves. It takes events with a lot of energy to make gravitational waves that we can detect because spacetime is not very elastic. Remember the bowling ball analogy? Space-time is like a stiff trampoline, one that only sinks when you put something very heavy on it.

So if we are to consider such a thing how would I go about it? Perhaps, "jumping up and down?":)

“Every time you accelerate—say by jumping up and down—you’re generating gravitational waves,” says Rainer Weiss, Professor Emeritus of Physics at MIT. “There’s no doubt of it.” But just standing there won’t cut the mustard. To make a wave, your mass has to both move (have velocity) and have acceleration (change the rate of motion, direction, or both).

Still, don’t get your hopes up. No matter how fast you jump, sprint, or cartwheel, the resulting warp your waves make on space is so weak that it’s utterly unmeasurable—perhaps 100,000,000,000,000,000,000,000 times less so than the warp made by massive exploding space objects. And LIGO has a tough enough time measuring those.

So there are questions on my mind, about gravity creation.

Plato writes:

Dorigo,

I am interested as a lay person in the collider experiments and wondered about "gravitational wave production."

Considering quark gluon levels reached I wondered about the strength and the weakness as a measure of gravitational waves within that collider action. If microscopic blackhole are created then would it be wrong to observe, variation of gravity within the domain of the collider itself?

regards,

See following comment posted here.

Dear Plato,

quarks are microscopic bodies. The gravitational effects associated with the motion and interaction of masses that small are ridiculously small.

In theories contemplating a low quantum gravity scale, black holes could in principle be created in high energy collisions, but if a chance of detecting their creation exists, it is not by gravitational effects, which remain billions of billions of billions of billions (and then some) of times smaller than those caused by strong interactions.

Please check my post on Lisa Randall’s seminar (Sept. 29th), or the one on the seminar given by Steve Giddings last March. There is reading material that I tried to make accessible to most there.

Cheers,
T.

I will be loking at this in much more detail. Something that immediately came to mind is Gran Sasso. "Muon creation" from the particle collisions. See: Neutrino Mixing in Sixty Seconds.

This summer, CERN gave the starting signal for the long-distance neutrino race to Italy. The CNGS facility (CERN Neutrinos to Gran Sasso), embedded in the laboratory's accelerator complex, produced its first neutrino beam. For the first time, billions of neutrinos were sent through the Earth's crust to the Gran Sasso laboratory, 732 kilometres away in Italy, a journey at almost the speed of light which they completed in less than 2.5 milliseconds. The OPERA experiment at the Gran Sasso laboratory was then commissioned, recording the first neutrino tracks. See Strangelets and Strange Matter


The Distorted Lense

It would seem to me that if any lens could direct "the focus of our vision" then why not the focus of the gravitational waves? I mean if there is a "inverse calculation" to waves, it would seem t me that such a process could point to a heavy concentration in terms of blackhole production?


As one of the fields which obey the general inverse square law, the gravity field can be put in the form shown above, showing that the acceleration of gravity, g, is an expression of the intensity of the gravity field.

As I am reading different thoughts are manifesting and one of these has to do with the "escape velocity of the photon." Why I am not sure at the moment. This used as a measure of determination of whether a blackhole exists? How did we arrive at such a point?


Albert Einstein (1879–1955)

One part of the theory of Relativity was inspired when a painter fell off a roof. Einstein found out that while the painter was falling freely, he felt weightless. This led Einstein to realize that gravity was a form of inertia, a result of the way things moved through space - and General Relativity was born.

It is important for me to recognize the collider process in context of what it is experimentally doing. For me this is demonstrating a "geometrical process" even if it is being taken down to the such "weak gravitational ranges" that I would point to what would manifest,if a tunnelling effect occurred from one location to the next.

Time travel

Plato:Thus the initial idea here to follow is that the process had to have a physics relation. This is based on the understanding of anti-particle/particle, and what becomes evident in the cosmos as a closed loop process. Any variation within this context, is the idea of "blackhole anti-particle expression" based on what can be seen at the horizon?Tunneling in Faster then Light

Warp Drives", "Hyperspace Drives", or any other term for Faster-than-light travel is at the level of speculation, with some facets edging into the realm of science. We are at the point where we know what we do know and know what we don’t, but do not know for sure if faster than light travel is possible.

The bad news is that the bulk of scientific knowledge that we have accumulated to date concludes that faster than light travel is impossible. This is an artifact of Einstein’s Special Theory of Relativity. Yes, there are some other perspectives; tachyons, wormholes, inflationary universe, spacetime warping, quantum paradoxes...ideas that are in credible scientific literature, but it is still too soon to know if such ideas are viable.

One of the issues that is evoked by any faster-than-light transport is time paradoxes: causality violations and implications of time travel. As if the faster than light issue wasn’t tough enough, it is possible to construct elaborate scenarios where faster-than-light travel results in time travel. Time travel is considered far more impossible than light travel.

It would be suspect to me that such travelling in space would allow for the manufacture of gravitational influences to be pointed in the "direction of travel" and allow such slippage away from that current position.

Gravitational Mass for a Photon

The relativistic energy expression attributes a mass to any energetic particle, and for the photon



The gravitational potential energy is then



When the photon escapes the gravity field, it will have a different frequency




Since it is reduced in frequency, this is called the gravitational red shift or the Einstein red shift.

Escape Energy for Photon

If the gravitational potential energy of the photon is exactly equal to the photon energy then



Note that this condition is independent of the frequency, and for a given mass M establishes a critical radius. Actually, Schwarzchilds's calculated gravitational radius differs from this result by a factor of 2 and is coincidently equal to the non-relativistic escape velocity expression

A black hole is an object so massive that even light cannot escape from it. This requires the idea of a gravitational mass for a photon, which then allows the calculation of an escape energy for an object of that mass. When the escape energy is equal to the photon energy, the implication is that the object is a "black hole."

For more see "Time as a measure.

By allowing new physics to emerge, what basis is being held relevant then to what is being created in the particle collisions that are indeed faster then light?

As we know from Einstein’s theory of special relativity, nothing can travel faster than c, the velocity of light in a vacuum. The speed of the light that we see generally travels with a slower velocity c/n where n is the refractive index of the medium through which we view the light (in air at sea level, n is approximately 1.00029 whereas in water n is 1.33). Highly energetic, charged particles (which are only constrained to travel slower than c) tend to radiate photons when they pass through a medium and, consequently, can suddenly find themselves in the embarrassing position of actually travelling faster than the light they produce!

The result of this can be illustrated by considering a moving particle which emits pulses of light that expand like ripples on a pond, as shown in the Figure (right). By the time the particle is at the position indicated by the purple spot, the spherical shell of light emitted when the particle was in the blue position will have expanded to the radius indicated by the open blue circle. Likewise, the light emitted when the particle was in the green position will have expanded to the radius indicated by the open green circle, and so on. Notice that these ripples overlap with each other to form an enhanced cone of light indicated by the dotted lines. This is analogous to the idea that leads to a sonic boom when planes such as Concorde travel faster than the speed of sound in air

See also information on What is Cerenkov Radiation?

Fifth Dimensional General Relativity

It was a gradual process that using Grace to help me see the earth in new ways was paramount to the inclusion principle of electromagnetism contained within the move to GR.I may be mixed up here, and I have no one to say.

"Color of gravity" assumes that you have seen the colour of gravity in relation to this slide of light. So seeing in such a way would seem relevant in the fifth dimensional perspective.

In Kaku's preface of Hyperspace, page ix, we find a innocent enough statement that helps us orientate a view that previous to all understanding, is couched in the work of Kaluza.

In para 3, he writes,

Similarily, the laws of gravity and light seem totally dissimilar. They obey different physical assumptions and different mathematics. Attempts to splice these two forces have always failed. However, if we add one more dimension, a fifth dimension, to the previous four dimensions of space and time, then equations governing light and gravity appear to merge together like two pieces of a jigsaw puzzle. Light, in fact, can be explained in the fifth dimension. In this way, we see the laws of light and gravity become simpler in five dimensions.

I would think such a thought here by Kaku would have stimulated the brains of people to see that a direct result is needed in our reality to which such thoughts I am giving would allow you to see gravity in new ways?



Lagrangian views with regards to relations between the Earth, Moon and Sun would help one to see the general outlay of gravitational influences in space. That is also part of the work I have been following to understand the spacetime fabric and how we may see this in our dealings.

The History of Magnetic Vision

Grossmann is getting his doctorate on a topic that is connected with non-Euclidean geometry. I don’t know what it is.
Einstein to Mileva Maric,1902

Animal Navigation

The long-distance navigational abilities of animals have fascinated humans for centuries and challenged scientists for decades. How is a butterfly with a brain weighing less than 0.02 grams able to find its way to a very specific wintering site thousands of kilometers away, even though it has never been there before? And, how does a migratory bird circumnavigate the globe with a precision unobtainable by human navigators before the emergence of GPS satellites? To answer these questions, multi-disciplinary approaches are needed. A very good example of such an approach on shorter distance navigation is the classical ongoing studies on foraging trips of Cataglyphis desert ants. My Nachwuchsgruppe intends to use mathematical modelling, physics, quantum chemistry, molecular biology, neurobiology, computer simulations and newly developed laboratory equipment in combination with behavioral experiments and analyses of field data to achieve a better understanding of the behavioral and physiological mechanisms of long distance navigation in insects and birds.

Tony Smith has some interesting information in response to a post by Clifford of Asymptotia.

Clifford writes:

This is simply fascinating. I heard about it on NPR. While it is well known that birds are sensitive to the earth’s magnetic field, and use it to navigate, apparently it’s only been recently shown that this sensitivity is connected directly to the visual system (at least in some birds). The idea seems to be that the bird has evolved a mechanism for essentially seeing the magnetic field, presumably in the sense that magnetic information is encoded in the visual field and mapped to the brain along with the usual visual data

While my post has been insulted by cutting it short(and stamping it and proclaiming irrelevance,) I'd like to think otherwise, even in face of his streamlining that Clifford likes to do. His blog, he can do what he wants of course.

In any case, it seems reasonable to agree with Buhler, who concludes in his biography of Gauss that "the oft-told story according to which Gauss wanted to decide the question [of whether space is perfectly Euclidean] by measuring a particularly large triangle is, as far as we know, a myth."

So I'll repeat the post of mine here and the part, that he has deleted. You had to know how to see the relevance of the proposition of birds in relation to the magnetic field of the earth, to know why the bird relation is so important.

On Magnetic vision
Rupert Sheldrake has had similar thoughts on this topic.

"Numerous experiments on homing have already been carried out with pigeons. Nevertheless, after nearly a century of dedicated but frustrating research, no one knows how pigeons home, and all attempts to explain their navigational ability in terms of known senses and physical forces have so far proved unsuccessful. Researchers in this field readily admit the problem. 'The amazing flexibility of homing and migrating birds has been a puzzle for years. Remove cue after cue, and yet animals still retain some backup strategy for establishing flight direction.' 'The problem of navigation remains essentially unsolved.'

Many of academics might have steered clear because of the the thoughts and subject he has about this? It seems to me that if this information is credible, then some of Rupert's work has some substance to it and hence, brings some credibility to the academic outlook?

Update: Here I am adding some thoughts in regards to Rupert Sheldrake that I was having while reading his work. He had basically himself denounced the process of birds having an physiological connection to magnetic fields because of not having any information to support the magnetic vision Clifford is talking about. So Rupert moves beyond this speculation, to create an idea about what he calls Morphic resonance with regards to animals.

So Rupert presents future data and theoretics in face of what we now know in terms of the neurological basis is experimentally being talked about in the article in question Clifford is writing about.

On How to see in the Non Euclidean Geometrical World

8.6 On Gauss's Mountains

One of the most famous stories about Gauss depicts him measuring the angles of the great triangle formed by the mountain peaks of Hohenhagen, Inselberg, and Brocken for evidence that the geometry of space is non-Euclidean. It's certainly true that Gauss acquired geodetic survey data during his ten-year involvement in mapping the Kingdom of Hanover during the years from 1818 to 1832, and this data included some large "test triangles", notably the one connecting the those three mountain peaks, which could be used to check for accumulated errors in the smaller triangles. It's also true that Gauss understood how the intrinsic curvature of the Earth's surface would theoretically result in slight discrepancies when fitting the smaller triangles inside the larger triangles, although in practice this effect is negligible, because the Earth's curvature is so slight relative to even the largest triangles that can be visually measured on the surface. Still, Gauss computed the magnitude of this effect for the large test triangles because, as he wrote to Olbers, "the honor of science demands that one understand the nature of this inequality clearly". (The government officials who commissioned Gauss to perform the survey might have recalled Napoleon's remark that Laplace as head of the Department of the Interior had "brought the theory of the infinitely small to administration".) It is sometimes said that the "inequality" which Gauss had in mind was the possible curvature of space itself, but taken in context it seems he was referring to the curvature of the Earth's surface.

See:Reflections on Relativity

As a layperson, Riemann and Gauss were instrumental for helping me see beyond what we were accustom to in Euclidean, so I find Clifford's blog post extremely interesting as well. Maybe even a biological/physiological impute into our senses as well? Who knows?:)

Einstein's youth and the compass, becomes the motivation that drives the vision of what exists beyond what was acceptable in that youth. The mystery. Creates a new method on how we view the world beyond the magnetic, to help us include the view in the gravitational one as well.

From a early age, young Albert showed great interest in the world around him. When he was five years old, his father gave him a compass, and the child was enchanted by the device and intrigued by the fact the needle followed a invisible field to point always in the direction of the north pole.Reminiscing in old age, Einstein mentioned this incident as one of the factors that perhaps motivated him years later to study the gravitational field. God's Equation, by Amir D. Aczel, Pg 14

While something could exist that is abstract, like for instance the Gaussian arc, this inclusion in the value of general relativity is well known. Mileva's response in quote above was the key for Einstein's views on developing General Relativity, and without it "electromagnetism would not, and could not" have been included geometrically in the theory of GR.

It was a succession to "Gravitational wave production" that was understood in regards to Taylor and Hulse.

The theory of relativity predicts that, as it orbits the Sun, Mercury does not exactly retrace the same path each time, but rather swings around over time. We say therefore that the perihelion -- the point on its orbit when Mercury is closest to the Sun -- advances.

I would think this penduum exercise would make a deeper impression if held in concert with the way one might have look at Mercuries orbit.

Or, binary pulsar PSR 1913+16 of Taylor and Hulse. These are macroscopic valutions in what the pendulum means. Would this not be true? See:Harmonic Oscillation

I guess not every string theorist would know this? Maybe even Bee would understand that "German" is replace by another form of seeing using abstract language, for how everything can be seen in relation to the ground state? Where there are no gravitational waves, spacetime is flat.

You had to know how such views on the navigation of the birds could have a direct link to the evolutionary output of the biology and physiology of the species. What Toposense?

Yes it's a process where the mathematical minds look at knitting and such, in such modularc forms, to have said, "hey there is a space of thinking" that we can do really fancy twists and such.

One thing us humans can certainly do is construct the monumental world reality with straight lines and such in the Euclidean view. But nature was there before we thought to change all it's curves.

But the truth is, the Earth's topography is highly variable with mountains, valleys, plains, and deep ocean trenches. As a consequence of this variable topography, the density of Earth's surface varies. These fluctuations in density cause slight variations in the gravity field, which, remarkably, GRACE can detect from space. See: The Mind Field

See here for more info on Grace.

Look out into the wild world that nature itself presents and tell me what the ancient mind did not see. Native Americans lived closer to nature. Hopefully you'll understand why it is we must engage ourselves to experiencing the views of nature?:)

Mandalic Construction

See: The Last Mimzy

The "Ancient Medicine wheels" might have been place accordingly? Do you imagine seeing in the abstract world, the magnetic view we see of earth in it's different disguise?

So that last line about the "medicine wheels" probably caused Clifford to do what he did in regards to the post I wrote.

Yes I am creating a direct link between the Medicine Wheels and the Medicine Wheel as a Mandala constructed by early Native Americans. Where they were shamanically placed on the earth.



What is a Medicine Wheel?

The term "medicine wheel" was first applied to the Big Horn Medicine Wheel in Wyoming, the most southern one known. That site consists of a central cairn or rock pile surrounded by a circle of stone; lines of cobbles link the central cairn and the surrounding circle. The whole structure looks rather like a wagon wheel lain-out on the ground with the central cairn forming the hub, the radiating cobble lines the spokes, and the surrounding circle the rim. The "medicine" part of the name implies that it was of religious significance to Native peoples.

Figure 4 - Distribution of medicine wheel sites east of the Rockies

What was of importance is the underlying psychological patterns that exist in the forms of Mandalas. That such a thing like the Medicine wheel, would retain a impact from one's life, to another life.

There are various forms of mandalas with distinct concepts and different purposes. The individual representations range from the so-called Cosmic Mandalas, which transmit the ancient knowledge of the development of the universe and the world-systems which represents a high point among Mandalas dedicated to meditation; to the Mandalas of the Medicine Buddha which demonstrates how the Buddha-power radiates in all directions, portraying the healing power of the Buddha.

It would not be easy to understand this "seed mandala" as it makes it way into conscious recognition. It arises to awareness through the subconscious pathway during our susceptibility in dream time. This open accessibility is the understanding that there is a closer connection to the universality of being, and the realization that the degrees beyond the "emotive body" is developing the understanding of the "mental one" as well as, leading to "the spiritual one."

This comparative view is analogousness to development beyond the abstract view we see of earth in it's gravitational form.

However, the signals that scientists hope to measure with LISA and other gravitational wave detectors are best described as "sounds." If we could hear them, here are some of the possible sounds of a gravitational wave generated by the movement of a small body inspiralling into a black hole.

It would be much like a "energy packet" that would contain all that is demonstrated in "extravagant patterns." Look like a "flower in real life," or a "intricate pattern," while encouraging the person to explore these doorways and move on from.

That seed contains all of the history we have supplanted to it by how we built previously and embedded all the philosophy we had learnt from it.

The Emotional Body of the Earth

Would to me seem very emotive in terms of it's weather. How such weather patterns spread across the earth. Also, it would not seem so strange then that while we would have seen polarization aspects in the cosmos, in terms of magnetic field variances in relation to north and south, we would see "this of value" in the earth as well?

So would the earth have it's positive and negative developments in relation to aspect of it's weather? Most certainly psychological when the snows have lasted so long, one could indeed wish for warmer weather, but that's not what I mean. I mean on a physiological level, such ionic generations would indeed cause the state of the human body to react.

Our Local Wildlife

My wife took some nice pictures of the different animals running around getting food from the feeders my wife had set out for them.



Again, we have not corrected the date on the pictures.

The bird house was built by our granddaughter, for her grandmothers birthday. Each of the grandchildren built one of these bird houses, that can been purchased from our local Home hardware, for 4.00 dollars and were painted by them.


The woodpecker is a constant local feature within our shangrila.




There is something to be said about the animals we bring into our lives whether they be horses, dogs, cats or even the fish in your aquarium. They bring part of the naturalness back into our lives. Walking in wild areas, mountain hikes, or one's local zoo or park, these bring something back to you.

If you distance yourself from the way one lives in the concrete jungle, one looses sight of the naturalness with which we should be living.