Dmitri Ivanovich Mendeleev: The Law of Octaves

Dmitri Mendeleev in 1897

Courtesy Edgar Fahs Smith Memorial Collection, Department of Special Collections, University of Pennsylvania Library

Dmitri Ivanovich Mendeleyev (Russian: Дми́трий Ива́нович Менделе́ев listen ▶(?)) (8 February (O.S. 27 January) 1834 in Tobolsk – 2 February (O.S. 20 January) 1907 in Saint Petersburg), was a Russian chemist. He is renowned for being one of the two scientists who created the first version of the periodic table of elements. Unlike other contributors to the table, Mendeleyev managed to predict the properties of elements yet to be discovered. In several cases he even ventured to question the accuracy of the accepted atomic weights, arguing that they did not correspond to those predicted by the Periodic Law, and here too subsequent research proved him correct.

Now of course I have made some inferences here and who hasn't when it came to sound and it's values? I've explained this here.

But by exploring the value of the geometric forms, of the square, and the triangle these were simplistic analogies to earth(matter) and the triangle (energy) By simple addition of both these forms, and by looking at the value of Octave=do, re, mi, fa sol la ti do, etc. There had to be a injection point for this octave to ascend?

Now just take this as a story of the plot and look at what this plot is producing, not where science is, but of the easily converted analogies to the thinking of that sound in our universe can make to the elemental structure Mendeleev first sought out to map.

So by joining the square and the triangle, we see where "four triangles" are produced inthe form of the pyramid.

It also asks how can this idea of matter and energy have been sent to another octave, and hence an idealization of the Law of Octaves. So between mi and Fa, such injection would have lead any thinking to have wondered this associative function to what could transpire, if such a completion could have been modelled in the pyramid shape.

Four primary triangles that reprsent the basis of the transmutation of energy from the four lowers states of matter considerations to the triangles, and the ascension of vibrations readily asseted to be in the most rarified of "matter forms (particle reductionism)" associative with energy at this peak?

Proceedings of Societies [Report on the Law of Octaves]

Mr. JOHN A. R. NEWLANDS read a paper entitled "The Law of Octaves, and the Causes of Numerical Relations among the Atomic Weights."[41] The author claims the discovery of a law according to which the elements analogous in their properties exhibit peculiar relationships, similar to those subsisting in music between a note and its octave. Starting from the atomic weights on Cannizzarro's [sic] system, the author arranges the known elements in order of succession, beginning with the lowest atomic weight (hydrogen) and ending with thorium (=231.5); placing, however, nickel and cobalt, platinum and iridium, cerium and lanthanum, &c., in positions of absolute equality or in the same line. The fifty-six elements[42] so arranged are said to form the compass of eight octaves, and the author finds that chlorine, bromine, iodine, and fluorine are thus brought into the same line, or occupy corresponding places in his scale. Nitrogen and phosphorus, oxygen and sulphur, &c., are also considered as forming true octaves. The author's supposition will be exemplified in Table II., shown to the meeting, and here subjoined:--

Now such a colorful model of the pyramid to me in such oscillations mode seemed to reveall a dynamic form of color and it's variations. Is this what sound values of had left for us in our hydrogen spectrum mapped to see what energy valuation had occurred? The blacklines.

So it was not long, that such idealization about the value of sound might reveal it's consolidational effect, as we compared low and high sounds of value, to this spectrum. That low sounds were very matter orientated(consolidated), while high sound were very revealing of the vibratory function of energy valuations seen at the peak of that pyramid? The height of enrgy valuations in relation to particle reductionism. So what would this pyramid reveal in the thoughts of all humanity then? Simple deduction form from model participation is all. It gave insight into the outward expression of these matters(body) fluid emotive forces, to mental states of energy valuations?

I am not saying this is the way of it either, just that such a platform and model developememnt could have sparked other ideas, as Smolin so hopes might be revealled for further explorations into the new theoretical idea developement, to help us look at the way nature is.

Mendeleev example is a case in point where such ideas and sound valuation seem to penetrate the mind as to the essence and nature of matter. How strange then I might be, to say, that in our very own hearts is the transition point between the lower centers of man(his earth nature), that such ascension of this vibratory thought formsanaogy of the triangle to energy) would be, held in the clear mind?

But let's not forget some real science here.

The beam of positively-charged ions generates a slight magnetic field that interacts with an externally-applied magnetic field. The net result is that the trajectory of a charged particle is curved to an extent that depends on its speed (determined by its mass). When the beam of a mixture of isotopes of different masses falls on a photographic plate, the different isotopes converge at different points, corresponding to the different radii of their semicircular paths.

The mathematical equation that describes this phenomenon is: m/e = H2 r2 /2V, where m is the mass of the ion, e is the charge of the ion, H is the magnetic field strength, r is the radius of the semicircle, and V is the accelerating potential.

The Future of the Book

I have definite ideas about the future in this medium Clifford.

First let me say, that Indymedia was the first introduction to "real time" reporting aside from TV network medias distributors. If you could bring other perspectives to the realites of our world, then indeed media in terms of pictures, live video shots, could help you present more ideas to the public.

How much of a effect does this have?

One might talk about blogging and the effect it has about giving power to the individual in the street to prersnt views from the front lines. Has been well along in it's developemental stages. I am just presentng a safe scenario and the pushing of the envelope to considerations of laws about copyright/copyleft? To bring this dynamcial world of the internet into a responsible forum of the development of minds.



If one knew the fog that is created in life, askes for the Clear MInd, then where shall we begin? A Tibetan might ask for a priest at his bedside(Tibetan Book of the Dead), so that he can walk the indivdidual through the trepidations of a "material world" as one is dying. To help one realize to this Clear light?

It had to begin then that if minds are going to involve themselves in a sphere of personalities, then they should be well prepared for how this developmental process is evovling our consciousness. How historical figures are part and parcel of the history of the world on another level that we do not see? Rings around this planet? Rings around us? What is the color of your mind?

My mind goes back first though in a historical sense to Gamow. I know most do not like to live in the past, but this sets up certain ideas about the future. The freedoms of expression. The developemental idealization of a free society, and not one held too.



Most of us know who Richard Stallman is right?



The GNU?


I was thinking of the Cathedral and the Bizzare, Netscape and Microsoft, and how this developement is moved to ideas about the creative commons and the desire of what that "future book" should be?

Making Prisons for our Children's Minds



The dangers of being held into Doom conspirative games while introducing story forms for a pro-active idealization about "using toys" to encourage destructive attitudes? Locking our childrens "minds" within rooms of destruction? Predators who prey on our children.

Future of Blogging

In one sense the idea about the pictures and how they are implemented in these blogging articles, and the way html works from blogging to weblog. The future of the mind of the internet

We seen Jacques's disgust with the way you see things in Word Press and the way they end up appearing? Uiversal html directtives applicable to all blogging software

The limitation put on those who would like to use imaging, but are cut out because of the adminstrative duties held for Cosmic Variance Little Rascals. Here in this blogging sphere, will others be allowed to post their pictures?

What is this future that our minds are evolving too, as we sit at the desk and find others of like mind across from us. Have entered the world of personalilites and have left the planet for another type of world?

Timaeus:Laying the Ground rules on Genesis

You all know that you each have a respective hand on the elephant, and thsoe who would contribute their qunatum mathematics are new comers to what had already existed. As the craftsman Plato, I created the elephant in the thought of the man for this time:)


Genesis Timaeus 27c-34a

Sometimes as you read my dialogues you discover the flavour of individuals who had passed through these readings, and in selected words, highlighted the logic with which they would highlight my approach, and speak about science and the way of it?

Had I known that when I wrote this dialogue that minds like Einstein, or a Hooft would travel through these sections, I might then of assigned the "Craftsman" to different people here, as they developed the models of the world, with which this process speaks too.

Let me pick an example then for you and say that this perspectve I select holds one accountable, and recognizes that in this case it is becoming and perishable. A I highlight a section for you and you read you will understand.



Now some of you know that early on in this blog John Baez's view about the soccer ball was most appealing one for consideration, but indeed, the sphere as the closet example could all of a sudden become the ideas for triangulations never crossed my mind. Nor that Max Tegmark would tell us, about the nature of these things.

Is not, as John would like us to have believed? The "soccer ball" is dead, but not my Platomic form. It will remain, and live in the hall of the infamous, as a model of the way the world is created? It's underlying nature? It's "to be," as a Shakespearean thought would also have it's "infliction" on my very own words.

But let me first clarify some things here before I loose myself amongst all mmy writings, as it is difficult to retain the mind of individuals in the characters of these dialogues so that the discourse is found relevant in ways of a future, as I have first shown thus.

Timaeus:

First then, in my judgment, we must make a distinction and ask, What is that which always is and has no becoming; and what is that which is always becoming and never is? That which is apprehended by intelligence and reason is always in the same state; but that which is conceived by opinion with the help of sensation and without reason, is always in a process of becoming and perishing and never really is. Now everything that becomes or is created must of necessity be created by some cause, for without a cause nothing can be created.

Now let me say that if you are to define the rules of the game, then it will be that each would come from their corner, and from these distinctive positions, bias themselves to what I had always laid first before you.

So the ground rules had been laid long before any of you would speak on the ideas of emergence or not, first principle or not, and the defined shapes or not?

So by these implications you have to then known the logic with which you would approach this discourse with science and all who have used my dialogues :)

Lee Smolin:

-Stick to the issues raised. If someone raises a criticism, whether its done according to your standards of rhetoric or not, just answer the substantial science issue. Don’t waste our time with discussion about anything else. Don’t respond to a criticism on a specific point by changing the subject.

-No personal attacks, absolutely none. If someone has a Ph.D., then they are credentialed. Discuss with them in good faith and with respect.

-Let’s strive to agree on facts before discussing interpretation. Insist on precision and honesty, don’t allow exaggeration, and admit it gracefully when you are wrong or when the evidence does not support something you would like to be true. If someone questions the status of a claim, don’t say “everyone I respect believes X is true.” Say, X is in fact unproven, but there is evidence for it, which is exactly the following….

-Listen carefully to those professional colleagues who read the evidence differently from you, and try to understand sympathetically and in good faith, why they do so.

-Restrain your own communities. Make it clear that it is not acceptable to you when those in your committee insult others or publish or post things that are exaggerated or false. If someone insists on behaving badly, it is up to their community to restrain them. Make it clear that repeatedly treating colleagues disrespectfully in a public forum amounts to professional misconduct. The same is true for repeated cases of knowingly exaggerated or misleading statements in a public forum.

If we can all agree to some basic rules like this I am optimistic that we-and science- will come out better from the debates ahead.

While Lubos has some ideas of his own here, then it seems fair that we should work on these "ground rules" so that each understands that when they step on stage, they had both agreed to the plot that would take hold of science for all to see.

Lubos Motl:

These rules are, first of all, a proposal for a complete and thorough politicization of all of science. The first point is that personal integrity (or scientific integrity) is a very subjective thing that a person simply has or has not. And people will never agree whether certain things have been honest or not.

So if Lee Smolin, sets the "ground rules" while Lubos seeks to develope clarity from position and Clifford the stage, then we would know that your bias's would have to be put aside, in order to proceed. Previous conversations failed, Lubos and Lee:)I have watched your respective positions and felt Lee's feelings on trying, but never really succeeding, to adventure respective positions as one would have put it on stage. The Krauss issue timing is impecabble not for book publicity gain but for how one were to develope the scripts of science in dicussion.

At these meetings of mind, the idealization had been first spelt out in my story of Timaeus, now it is your turn as "to be" the Shakespeare, Einstein or t"hooft would be.

Sum Over Histories

So how does all this come together into a physical theory? It turns out that the proper procedure is to construct every possible diagram allowed by the theory (for a given state of input and output particles and how they're moving) and add up the corresponding complex numbers. The result is essentially the "wave function" for that specific input-output state combination, and by squaring that number you can determine the probability that the given input will result in the given output. Doing that is how theorists at particle accelerators earn their keep.

Principal of Least Action

Edwin F. Taylor

The least-action principle is an assertion about the nature of motion that provides an alternative approach to mechanics completely independent of Newton's laws. Not only does the least-action principle offer a means of formulating classical mechanics that is more flexible and powerful than Newtonian mechanics, [but also] variations on the least-action principle have proved useful in general relativity theory, quantum field theory, and particle physics. As a result, this principle lies at the core of much of contemporary theoretical physics.

Thomas A. Moore "Least-Action Principle" in Macmillan Encyclopedia of Physics, John Rigden, editor, Simon & Schuster Macmillan, 1996, Volume 2, page 840.

PRINCIPLE OF LEAST ACTION INTERACTIVE
Java programming by Slavomir Tuleja
Text by Edwin F. Taylor and Slavomir Tuleja
Draft of March 12, 2003

Here L is called the Lagrangian. In simple cases the Lagrangian is equal to the difference between the kinetic energy T and the potential energy V, that is, L = T – V. In this interactive document we will approximate a continuous worldline with a worldline made of straight connected segments. The computer then multiplies the value of (T – V) on each segment by the time lapse t for that segment and adds up the result for all segments, giving us an approximate value for the action S along the entire worldline. Our task is then to move the connected segments of the worldline so that they result in the minimum total value of the action S.

So Let's have some Fun

Now of course, the time travel issues are always quite endearing, because good thinking minds can come up with a imaginative way to travel. What stories are these, that are created?

Back to the Future

Contact

Timeline

Frequency

So maybe you have some "ole or new," that you would like to add to the list?

So we know too, that these versions were based on some "historical view" that came from the basis of math? Who is this, that derived and made room for such issues to materialize so imaginatively?

Welcome to the companion Web site to the NOVA program "Time Travel," originally broadcast on October 12, 1999. In the program, leading physicists delve into the mystery of whether time travel is possible, and if so, how one might go about building a time machine. Here's what you'll find online:

So let's go back in time a bit.

Ronald L. Mallett
Department of Physics, 2152 Hillside Road and UniÍersity of Connecticut, Storrs, CT 06269, USA
Received 19 January 2000; accepted 3 April 2000
Communicated by P.R. Holland

Abstract
The gravitational field due to the circulating flow of electromagnetic radiation of a unidirectional ring laser is found by solving the linearized Einstein field equations at any interior point of the laser ring. The general relativistic spin equations are then used to study the behavior of a massive spinning neutral particle at the center of the ring laser. It is found that the particle exhibits the phenomenon known as inertial frame-dragging. q2000 Elsevier Science B.V. All rights reserved.

Van Stokum cylinder by David Darling

A time machine based on an immense cylinder spinning at near-light speed. The physicist W. J. van Stokum realized in 1937 that such an object would effectively stir spacetime as if it were treacle, dragging it along as the cylinder turned. What van Stokum didn't realize is that circumnavigating such a cylinder can lead to closed time-like paths. Anyone orbiting the cylinder in the direction of the spin would be caught in the current and, from the perspective of a distant observer, exceed the speed of light and thus travel back in time. Circling the cylinder in the other direction with just the right trajectory would project the subject into the future. The van Stokum time machine is based on the Lense-Thiring effect and uses ordinary matter but of enormous density - many orders of magnitude greater than that of nuclear matter.

And some general comments:

The century-old dream of time travel remains one of our greatest control fantasies—irrational and irresistible, supremely conducive to megalomania, born of morbid curiosity and mortal dread. Barring the odd literary anachronism (Rip Van Winkle's big-sleep displacement, the Connecticut Yankee's Camelot stopover), it wasn't until 1895, when H.G. Wells unveiled The Time Machine, that the concept crystallized in the public consciousness, spanning nuts-and-bolts mechanics to abstruse metaphysics.

Gott Time?

Okay Clifford, enough's enough. Some of like to be genuine and eloquent in our speech as well. So I'll try my best.

You had to understand that without this inductive/deductive topological sense, this would not help one to identify what Greene is saying. You had to know what this represent in our valuations of time as we look throughout the universe? Etc, etc, etc:)

Brian Greene:

it turns out that within string theory ... there is actually an identification, we believe, between the very tiny and the very huge. So it turns out that if you, for instance, take a dimension - imagine its in a circle, imagine its really huge - and then you make it smaller and smaller and smaller, the equations tell us that if you make it smaller than a certain length (its about 10-33 centimeters, the so called 'Planck Length') ... its exactly identical, from the point of view of physical properties, as making the circle larger. So you're trying to squeeze it smaller, but actually in reality your efforts are being turned around by the theory and you're actually making the dimension larger. So in some sense, if you try to squeeze it all the way down to zero size, it would be the same as making it infinitely big. ...

I notice this comment previous about Richard Gott. I returned to my archives in the internet world for information that I had already cataloged. How and why, I will not say right now, but it is about the prospect of the "future" and about where we had been in our "past."

Imagine then--and put aside the engineering problems for a moment--a machine big enough to walk into. As you would walk forward within the confines of the light beam, (see diagram below) you'd have the impression of moving forward, but because of the space-time vortex, you'd actually be moving backward. You could walk back through time--maybe even passing yourself as you entered the ring.

(does this sound familiar Steven?)

So who is Richard Gott, but first, some of you good readers might recogize what Sean has to say about time travel?

Time Travel in Einstein's Universe: The Physical Possibilities of Travel through Time

The notion of closed timelike curves in the real world is hard to reconcile with our intuitive understanding of causality. Perhaps one can find global solutions to general relativity incorporating closed timelike curves. These, in effect, would be time machines. But it may be impossible to construct such a system in a local region of space. Theorems along these lines were proved by Frank Tipler in the 1970s. Tipler assumed that the energy density was never negative and showed that closed timelike curves could never arise in a local region without also creating a singularity. This was reassuring, as we could hope that both the singularity and the closed timelike curves were hidden behind an event horizon (although this was not part of the proof).

Now I spoke in regards to the name of Ronald Mallet for a reason, other then to insight hope into people, and tell them to disregard the color of skin. That the mind still works in all it's wonders whether in a male or female, black, white, yellow or green. Okay, so I went to far in the color dynamics, but you get my jest, eh?

Of how disadvantaged views, will create color in our world perceptions. We just have to rise above this(step back from the experience)and put it into perspective. The sameness with which all of us have in this humanistic valuation of character and such, arising from a historical past. Are your words your own in the makeup of advice you give, or is it from the mother and fathers, as parents who speak through you?

Will We Travel Back (Or Forward) in Time? by RICHARD GOTT III

Einstein proved we can travel forward by moving near light speed. Backward requires a wormhole, cosmic string and a lot of luck
Do the laws of physics permit time travel, even in principle? They may in the subatomic world. A positron (the antiparticle associated with the electron) can be considered to be an electron going backward in time. Thus, if we create an electron-positron pair and the positron later annihilates in a collision with another, different electron, we could view this as a single electron executing a zigzag, N-shaped path through time: forward in time as an electron, then backward in time as a positron, then forward in time again as an electron.

So no, it is not just about going back in time and finding out where we reiterate the views embedded within our own consciousness, but show, what has happened to the individual as a inductive/deductive feature progresses forward in time.

Do such loops work in our makeup? Trust me when I say it is extremely difficult to change what has already happened in terms of our historical experiences. Yet, the advancement of views in that future when meeting that historical past, is the new mode of experimental basis. Which we will in this case refer to as scientific sensibility? How many reminders do we actually need on what is "reality" and what is fictional?

So lets say for instance, that in Young's experimental travel of the photon, having going into the nether world, what path had it taken, to become the backdrop on that screen? It had to incorporate signatures and we all understand the Hydrogen spectrum do we not? The Electromagnetic Spectrum?

Ah so we understand do we about leaving signatures? Yes this is part of the history I am talking about. Have I extended it metaphorically? Yes, you betcha.

You have to embed this kind of thinking in order for foundational perspectives to change the way you perceive life on a grander scale. Not egotistical evolution, but of one that model consumption does to you about how we open new doorways to insightfulness and change in what we had always perceived?

From Experience to Metaphors on Cosmic Variance

Most of you know who Alice is Right? Well Alice isa fictional story for those of you who don't know, the story of the Looking Glass has become synonmous witha a photon's flight into Young's other side.

I do not think I am held in to high a esteem, although my work and struggle has been to pierce the veil of illusions that could mistakenly take one down the wrong informational path. So the title above is quite fitting in a professional sense I guess. But yes I will persevere, to try my best and show historical context of where we have already been, so people understand this has not just been be a one night stand with science, but a life long one, without credentials.

So what did I mean by writing this following comment? Withn this comment I created this link here, to fast track people to today's culminative views on what Alice is now witnesssing from her metaphorical world.

I like your article Sean.

Even Penrose had to seek the help of Escher.

I mentioned Alice briefly in relation to the photonic journey, but realistically this adventure from mathematics to the fabled story has indeed capture the mind in what Alice is doing today. You see?

Spooky action at a distance has been extended from to issues of quantum entanglement, yet in it’s history, this was the world on the other side(Hyphephysics has a geometrical valuation in algebraic geometry(NOn communitative)?

So “piece meal” physics of imagination and experimentation, has move the metaphorial mind to consider “other experiments” as you suggest in this extension.

Yes there are dangers as well. But these are eliminated once engaged in the reality makng process.

Alice in Wonderland, A real World Fantasy



By creating the link in the picture above I am directing attention to what has historcally come out of that past as well as directing the mind to consider how math derivatives can blossom into dynamical situations, in representation not only of Feyman's toy models, but of what Lewis Carroll did in hs mathematical state of mind, to purposefully generate consensus in a fictional model.

The Looking Glast

To a World on the other side?



I mean for me it was a interesting analogy to have considered that if a photon was emitted through what value would all these paths be, if we were to see what arises on the screen? Young's experiement wa sindeed quite interesting to consider. So had I define the spac eand journey that photon could take?

So we have these people now who are working on one aspect of Cern and the LHC that will look at how Alice, now becomes witness to the wonderfuls works of a long string of researchers, scientists who are coming together to create this reality. But does it end with Cern. Of course not. The very title I imparted to Glast or Glass, highlights this continuance and effort to measurte early universe information and the design of the calorimeter is crucial here.

So let me fast track again for you to the Alice of Cern, to now engage what Glast has accomplished. These trains of thought have no one other then myself to consider, because it was in my not understading these issues that I moved into the world of science and laid myself open to the shots that good men and woman would have, about the lessser in knowledge, and those who had not earned the "right to speak?" I am outside academia, looking in:)

So what do I do without trying to infringe on copy right but enlist pictures and quotation from article such as this that follows to direct attention to such accomplishements. Such that are culminative from a fictional and fantastical world derived from some early history. Is it myth that I create or the contued updating of what had been accomplishe by such iteractive feature of events inthat early cosmo to what is evident in the calorimetric view today. We had set the parameters of such interactions that we now have a model whch we will use inthat satellite. We will witnes the SR views that Smolin and other sare being tuff with before ever entetaining the completed version of GR as a extension of geometrical realites set in a hyperdimensioal sense. That is not acceptable to them?

Second Glast Tower Installed By Matthew Early Wright

GLAST has started to take physical shape with the installation of the second tracking tower last month. Now the team can perform the first tests ever of multiple towers in the grid array. Researchers expect to learn much about how the towers and the analysis software will cooperate to eventually produce sharp images of the gamma-ray sky.

So I understand why Smolin and others like this road to confirmation of early universe considerations and tangible proofs to the realities of interactive phases taking us as close as they can. Why such a pricipal based in SRian revolutions are quite acceptable to them becuase of ths science status seen there.

Shall we disavow the roads to theoretcial developement then, or shall we say, that all fictional stories have a basis to them? The real world functions, roads that lead from? What basis are these then in our exploratory views?

Well I have shown one year's worth. If you check my dates of two image links, where the Alice pictures are involved. Does it mean, that I have not been paying my dues as the years have passed? On the contrary, the internal motivation does not need approval or to be paid, for it is more of the interest I have in this reality, to explain nature's hidden aspect and views of alternate pathways. INductive/deductive pulses, to develope forward, and grow with where society is currently housing these scientists in their endeavors.

Yes I might be the pizza man behind the counter, or, the individual that sits next to you on the airplane. I may not sit at your dinner table, but I am, and have been host to the family. The extended family, that although not on par with the scientific updatea nd talk in a communal dialogue, injects humour, and tidbits to spark the wonder in their own observational eye about life.

How we can greatly effect those around us, by example, and quiet invisibility, by the images and impacts that we can inject into that same family called society. But really this is just a sample view about one aspect of reality that scientists have to offer.

There are indeed unscientific views that are made up in our individuality. As emotive forces that act as undercurrents and "emotive" society. Could these be wild in my speculations, that the world is much like "this Onion" to have said, these are culminative views about a planet whose consciousness is developing in stages as well. That global perspective would have assigned hotspots in the world of color valuations, in that same global warring perspective? Color then, would be very dynamic, if we changed our views on how we see the world in other foundational perspectives.

Onion Signatures

Yes indeed, we seen where acoustic physics can be related at a fundamental level and be incorporated with the mathematics that some are very proficient at. That while poor ole me struggles, I look for the most direct route to help me comprehend these complex issues which physicists and theoretcians alike, engage themselves, then why not? Why not say, the "aroma"? Is the smell of the onion hold a certain quality like sound, that as "acoustic hawking radiation," if I direct this analogy and comparsion a bit further, somewhere in there is the Higgs boson, that will give mass all the things our layered onion as a detector seeks to manifest particle wise, as presence.

Acoustic Hawking Radiation

With an acoustic horizon (a.k.a. "sonic horizon"), this ordered set of definitions breaks down: events behind an acoustic horizon can modify the effective horizon position and allow information to escape from a horizon-bounded region. This results in acoustic horizons following a different set of rules to gravitational horizons under general relativity:

So here in lies another idea for Clifford and the drama created by the involuntary presence that can make good sane people cry. These onion people are working in another dimension? Some might call it wizardary, only if they did not understand the science and the geometry behind the curvature parameters. It is a hyperphysics mode to which those who has studied would know that Kaku was very kind in bringing common sense to what our ole Geometers had to say in a long line of historical perpective.

I will bring perspective to quantum geometry shortly in another blog entry.

Atlas Experiment

ATLAS (A Toroidal LHC ApparatuS) is one of the five particle detector experiments (ALICE, ATLAS, CMS, TOTEM, and LHCb) being constructed at the Large Hadron Collider, a new particle accelerator at CERN in Switzerland. It will be 45 meters long, 25 meters in diameter, and will weigh about 7,000 tons. The project involves roughly 2,000 scientists and engineers at 151 institutions in 34 countries. The construction is scheduled to be completed in 2007. The experiment is expected to measure phenomena that involve highly massive particles which were not measurable using earlier lower-energy accelerators and might shed light on new theories of particle physics beyond the Standard Model.

Well most will not comprehend what I am saying, and nor did I, until I came across and looked for a better understanding of what signatures mean to a physicist. Who is working on the Cern project, and the detectors methods for consideration. What the term onion word might spark, as I look back and seen that a previous comment had been planted for another day like today.

How vast indeed this project, that out of it such collision processes can be accounted for in the way a onion can be peeled, layer upon layer, just like our Atlas Detector is. In the way it had been design for those particle detection methods. There are enough links here to satisfy the inquring mind, as to what these layers are, and what they are designated for in that detection process.

Frontiers and Mega Magnets

Like all the detectors used in today’s collider experiments, the ATLAS apparatus is huge – in order to catch the myriad of particles produced when protons smash into each other. It consists of a series of detecting devices in an onion-ring arrangement around the central tube in which the proton beams collide. Each detector does a different job, measuring the positions and energies of the different particles produced – electrons, photons, muons etc. The momenta of the charged particles are measured from the curvature of their trajectories in a magnetic field provided by superconducting magnets. The volume and strength of magnetic field needed are not achievable with conventional magnets.

Now I highlighted the statement in bold because it means something to me more then just the way we would look at, but what these curvatures can mean in comparative modes of geometrical expressions.

Now as a lay person, the curvature parameters that were developed from the understanding of the Friedman equations, help me to see the issue of hyperbolic/ spherical as real cosmological issues, but way down at the quantum level, what is this showing us?

The Friedmann equation which models the expanding universe has a parameter k called the curvature parameter which is indicative of the rate of expansion and whether or not that expansion rate is increasing or decreasing. If k=0 then the density is equal to a critical value at which the universe will expand forever at a decreasing rate. This is often referred to as the Einstein-de Sitter universe in recognition of their work in modeling it. This k=0 condition can be used to express the critical density in terms of the present value of the Hubble parameter.

For k>0 the density is high enough that the gravitational attraction will eventually stop the expansion and it will collapse backward to a "big crunch". This kind of universe is described as being a closed universe, or a gravitationally bound universe. For k<0 the universe expands forever, there not being sufficient density for gravitational attraction to stop the expansion.

So the very idea of the expansion and contraction, holds on to my mind, and this dynamical process is very revealling in our point of view. I can't but help feel this GR sense in momentum, as objects and articles are held to the mass impression of the spacetime fabric.

The Magnet System

The ATLAS detector uses two large magnet systems to bend charged particles so that their momenta can be measured. This bending is due to the Lorentz force, which is proportional to velocity. Since all particles produced in the LHC's proton collisions will be traveling at very close to the speed of light, the force on particles of different momenta is equal. (In the theory of relativity, momentum is not proportional to velocity at such speeds.) Thus high-momentum particles will curve very little, while low-momentum particles will curve significantly; the amount of curvature can be quantified and the particle momentum can be determined from this value.

So by quoting here and representing curvature parameters on a cosmological scale, it was not to hard to figure how signatures would be revealled.

Harmonic Oscillation

This "math sense" has to become part of one's makeup? An inductive process. Experimentally challenged. Deductive.

If such a idea is held from weak to strong idealizations in terms of comological views, then you get this sense of "energy valuations" as well. If you calculate when the binary pulsar distances around each other, the value of that information has been released in the bulk. This information should become weaker, as the orbits get closer?

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?

Part of the Randall/Sundrum picture Sean supplied of the brane world perspectives needed for how we look at that bulk view. If you are to asume that space is not indeed empty, then what is it filled with? Gravitonic perception would make this idea of the quantum harmonic oscillator intriguing to me in the sense that "zero point", would be flat space time. Any curvature parameters would have indeed signalled simple harmonic initiations?

Omega valutions in regard to the what state the universe is in, would have been defined in relation to a triangulation.

The quantum harmonic oscillator has implications far beyond the simple diatomic molecule. It is the foundation for the understanding of complex modes of vibration in larger molecules, the motion of atoms in a solid lattice, the theory of heat capacity, etc. In real systems, energy spacings are equal only for the lowest levels where the potential is a good approximation of the "mass on a spring" type harmonic potential. The anharmonic terms which appear in the potential for a diatomic molecule are useful for mapping the detailed potential of such systems.

But indeed while we understand this large oscillatory factor in our orbits, does it not make sense to wonder how simple that harmonic oscillator can become when we are looking for extra dimensions?

I had a picture the other day of a music instrument of a wire stretched, and weights being applied respectfully. The string when strummed gave certain frequencies accordingly to different mass valuations. This is the early pythagorean instrument I had see a few years ago, that would have similarities with "gourds of water" as weight and levels changed.



Here we seen a torsion pendulum. The way the wire twists and it's resulting valuation.



So you see how simple experimental processes help to correct our views on the way we see things.

From a historical perspective views of scientists with this explanation support the harmonic oscillators as follows:

Let us see how these great physicists used harmonic oscillators to establish beachheads to new physics.

Albert Einstein used harmonic oscillators to understand specific heats of solids and found that energy levels are quantized. This formed one of the key bridges between classical and quantum mechanics.

Werner Heisenberg and Erwin Schrödinger formulated quantum mechanics. The role of harmonic oscillators in this process is well known.

Paul A. M. Dirac was quite fond of harmonic oscillators. He used oscillator states to construct Fock space. He was the first one to consider harmonic oscillator wave functions normalizable in the time variable. In 1963, Dirac used coupled harmonic oscillators to construct a representation of the O(3,2) de Sitter group which is the basic scientific language for two-mode squeezed states.

Hediki Yukawa was the first one to consider a Lorentz-invariant differential equation, with momentum-dependent solutions which are Lorentz-covariant but not Lorentz-invariant. He proposed harmonic oscillators for relativistic extended particles five years before Hofstadter observed that protons are not point particles in 1955. Some people say he invented a string-model approach to particle physics.

Richard Feynman was also fond of harmonic oscillators. When he gave a talk at the 1970 Washington meeting of the American Physical Society, he stunned the audience by telling us not to use Feynman diagrams, but harmonic oscillators for quantum bound states. This figure illustrates what he said in 1970.

We are still allowed to use Feynman diagrams for running waves. Feynman diagrams applicable to running waves in Einstein's Lorentz-covariant world. Are Feynman's oscillators Lorentz-covariant? Yes in spirit, but there are many technical problems. Then can those problems be fixed. This is the question. You may be interested in reading about this subject: Lorentz group in Feynman's world.

Can harmonic oscillators serve as a bridge between quantum mechanics and special relativity?

Lee Smolin saids no to this?