Parallel lines to spherical and hyperbolic functions

Like different musical instruments, different types of stars produce different types of sound waves. Small stars produce a sound with a higher pitch than bigger stars, just like the 'piccolo' produces a higher sound than the cello

Did one ever figure out the value of the pitch? So you see, the universe is a concert as well:) You remember Pascal's triangle? The probabilistic valuation asined to the marble drop? Well I created another triangle, but it is a little different model, and does not use numbers for mathematic discretion as a emergent property of first principal. Although mine is distinctive of these characteristics the universe is being applied in sound relation.

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

Srinivasa Ramanujan

The most rarified of the matter is a "energy relation in sound", while at the base of this pyramid, all the myriad forms of matter in expression.

Artists such as M. C. Escher have become fascinated with the Poincaré model of hyperbolic geometry and he composed a series of "Circle Limit" illustrations of a hyperbolic universe. In Figure 17.a he uses the backbones of the flying fish as "straight lines", being segments of circles orthogonal to his fundamental circle. In Figure 17.b he does the same with angels and devils. Besides artists and astronomers, many scholars have been shaken by non-Euclidean geometry. Euclidean geometry had been so universally accepted as an eternal and absolute truth that scholars believed they could also find absolute standards in human behavior, in law, ethics, government and economics. The discovery of non-Euclidean geometry shocked them into understanding their error in expecting to determine the "perfect state" by reasoning alone.

Sometimes it is good take this idea of sound as a analogy like fluid dynamics so that you can see how far one can be lead to non-eucildean views, and ideas of resonant points that are localized, yet, recognizing the quantum view here, would be a dynamcial one and as fluid? Putting reverberations aside, and discrete measures, think how such blurring could take on new meaning here in uncertainty?



By studing the early inclinations of people who have this affinity to "sound" how can one not be intrigued by what is to follow after, in the generalizations of mathematcial minds and physicists who are struggling to measure those same gravity waves?

In the late 1950s, Weber became intrigued by the relationship between gravitational theory and laboratory experiments. His book, General Relativity and Gravitational Radiation, was published in 1961, and his paper describing how to build a gravitational wave detector first appeared in 1969. Weber's first detector consisted of a freely suspended aluminium cylinder weighing a few tonnes. In the late 1960s and early 1970s, Weber announced that he had recorded simultaneous oscillations in detectors 1000 km apart, waves he believed originated from an astrophysical event. Many physicists were sceptical about the results, but these early experiments initiated research into gravitational waves that is still ongoing. Current gravitational wave experiments, such as the Laser Interferometer Gravitational Wave Observatory (LIGO) and Laser Interferometer Space Antenna (LISA), are descendants of Weber's original work.

Athena:

The angle of the strikes in relation to the sides of the triangle would be the same as well, delivering similar tones. With other triangle types, depending on the lengths of the sides and the angles, you may have to adjust for the differences while you were playing if you didn’t want those effects.

While one might think of the triangle of consideration, it would not be to hard to figure that architectural features would have also harnessed? Similar respective examples of solutions from angled to parallel lines, leads to hyperspherical "inner" solutions of the dome, as a consequence of dimensional shape exploitation?:)


Bernhard Riemann once claimed:

"The value of non-Euclidean geometry lies in its ability to liberate us from preconceived ideas in preparation for the time when exploration of physical laws might demand some geometry other than the Euclidean."

So how would they overcome this commanding voice and spread out what is focused? A saucer?

An Acoustical Nightmare

"According to one parishioner, the echoes were so bad under the egg-shaped done of Oklahoma City's First Christian Church of Tomorrow that when the minister spoke it sounded 'as though God were repeating every word he said, only much louder." In the hope of deflecting the echoes, a 20-ft saucer was hung from the apex, but it had no effect. An acoustician finally solved the ploblem by overpowering the echoes with an amplifying system. Carefully filtered sound now come from the round speakers on the walls and spreads evenly-and without echoes-over the congregation." Time-Life, Sound and Hearing, p189.

While seeking to provide good journalism and link to hyperphysics I wanted to extend this to a image. It is unfortunate this could not be done. So, you are left with the source for consideration and perspective. I thought it fitting to the struggles of "sound production" and your "tone variation" on the triangle's length and angle being hit.



So let's say Michelango sought to send God's "word" to some mortal human like Adam for consideration in the garden? Would he have done it in the way a artist might see such features of sounds reduced to the "chorus of shape" foculizing this power in mortal man? It had to be a thunderous approach? NOn! Oui

Michelangelo's Creation of Adam in the Sistine Chapel in Rome

Make sure you hit "next" three times

Inverse Square Law, Sound

Acoustic Physics

Of course you must remember, that I was influence by the Triangle man, and the idea of sound valuation in the determinatins of how we see differently. While complex math is the desired result of all the efforts of physics explanatory developement, there are ways in analogistc senses, that we may compare the values of the auditorium and how sound is reproduced for us visionaries of a slightly more complex reality we all like to further develope beyond that standard model.

In more technical language, sound "is an alternation in pressure, particle displacement, or particle velocity propagated in an elastic material" (Olson 1957) or series of mechanical compressions and rarefactions or longitudinal waves that successively propagate through media that are at least a little compressible (solid, liquid or gas but not vacuum). In sound waves parts of matter (molecules or groups of molecules) move in a direction of the spreading of the disturbance (as opposite to transversal waves). The cause of sound waves is called the source of waves, e.g. a violin string vibrating upon being bowed or plucked.

So while indeed I am sort of in dismay as to what the reality is in presenting Quantum geometry to the realms of quantum gravity, the mathematical valuation is very real and sealed for those math types, that the issue of "points" become blurred as in any quantum mechanical position of uncertainty, that when we see sound valution take on different energy determinations radiate outward from sources un impeded how smooth does it actually look?


The sound intensity from a point source of sound will obey the inverse square law if there are no reflections or reverberation. A plot of this intensity drop shows that it drops off rapidly.

Amazing Sounds

There are rules we follow and some rules that are defined just as they might be in terms of the inverse square law, we see comparative views must hold, to well defined equations. So can we play the game now.

Examples of Reverberation Times

One way to respond to the question "What is a good range of reverberation times for concert halls?" is to give examples of some of the most famous halls in the world. For the overall average reverberation times:

Vienna, Musikvereinsaal : 2.05 seconds

Boston, Symphony Hall: 1.8 seconds

New York, Carnegie Hall: 1.7 seconds

But the overall average reverberation time does not tell the whole story. The variation of reverberation time with frequency is also important

What is a Phonon/Photon?

Phonon: A particle of sound. The energy E of a phonon is given by the Einstein relation, E = hf. Here f is the frequency of the sound and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the sound.

Photon: A particle of light. The energy E of a photon is given by the Einstein relation, E = hf. Here f is the frequency of the light and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the light.

But with some help here lmitation have been drawn to compaative valuations where such background non background detrminations have foundthemselves combing in views that sucha raod to a quantum grviaty ppursuate in string has less then what is desirable to what most see as necessary.

Planck Length



John Baez:

The most conservative approach to quantum gravity is to seek a theory that combines the best features of general relativity and quantum field theory. To do this, we must try to find a background-free quantum theory with local degrees of freedom propagating causally. While this approach may not succeed, it is definitely worth pursuing. Given the lack of experimental evidence that would point us towards fundamentally new principles, we should do our best to understand the full implications of the principles we already have!

This has a quick and sobering effect when our views are drawn to such theoretical formats. We have to seen how "discrete points" and "wave functions in smooth topological valuations could have embolden the view of the dynamics in the concert hall, as effects beyond the normal scope of vision. Lives held, and cherished sounds around the feasibility that our choices had effective circumstances in the envirmoment of time valuation.

While some would set the order of books derived from synoptic events as illusions, more then journalistic festitudes that we all like to engage in, then why can we not a Michio Kaku, or Brian Greene in words become?

Shall we not assign such views to the roads travelled, in the words supported by "Three Roads to Quantum Gravity?" A Lee Smolin song about the story and views of the three approaches?

Let's say you are a Peter Woit and success finds you in your new book. Shall we assign you to a separation of groups. To which lives held in distinct sufferings and restrictions to a "alloted time" with which you may have become part fo the "fabric of the populace?" Your duration or shortness of breath?

It has no end that some will make their empression, and some will become a deeper marker of the wonders about what has traversed through our our reasoning that the desired results by consensus are recognzied even in this division.

The Mexican Hat and the Bed pan

Couldn't help but think of "entrainment" and the Tibetan bell or singing bowls. But let me explain first before you jump the gun.

Sea Biscuit?

No, just a interesitng perspective on it's uses?

Well, I'll have you know I was First Triangle in our high school orchestra.

I thought Sean would have more of affinity with the triangle? Try as I might, I looked through his ole site for that triangle in reference to one of his entries, and since no search function was readily availiable I gave up on that.

But the point I would be making here, that in light of the concert hall and all it's music, what kind of dynamcial view could have been envisioned, in the way sound would reverberate throughout this hall?

I mean the "mexican hat as a bed pan" and the idea of a "small cylinder" seem's a interesting way to have envisoned dream comparsions of vibrations? At least, that' what I saw as I hit the edge of the bed pan and the reality of discete functions became blurred. Okay enough:)

Savas Dimopoulos:Here’s an analogy to understand this: imagine that our universe is a two-dimensional pool table, which you look down on from the third spatial dimension. When the billiard balls collide on the table, they scatter into new trajectories across the surface. But we also hear the click of sound as they impact: that’s collision energy being radiated into a third dimension above and beyond the surface. In this picture, the billiard balls are like protons and neutrons, and the sound wave behaves like the graviton.

http://www.sciencewatch.com/may-june2001/sw_may-june2001_page4.htm

I mean we have progressed some in terms of the definitions of "sound" in the CMB. So just going with the idea that sound could have other explanatory virtues, is always quite nice from the views of Plato's Academy.

So with that dynamical view of the bulk what would sound look like from a gravitonic perception? Is this so wrong, to peg the triangle guy this way??

Objective Truth?

Mark:

you can tell has a real thirst to get her mind around the issues, and who isn’t looking for a sound bite to take the place of a complicated story

There is no doubt in my mind that KC Coles will play a significant role and is playing a significant role, in helping us to put our heads around things that are extremely interesting.

Award-winning science journalist and author K.C. Cole will join the USC Annenberg faculty as a visiting professor of journalism in January 2006, the School announced Friday, October 28, 2005.

Will she follow what a Lee Smolin does, "Three Roads to Quantum Gravity," or what a Brian Greene does in terms of, "the Fabric of the Cosmos," or what anyone for that matter who is engaging the quantum gravity issue. Who gets as close as, Michio Kaku does, in helping people to view hyperdimensional realities, from roads that had been travelled from historical perspectives? Get's as close as possible to what Atlas is doing in terms of Calorimetric perspectives?

This would mean the doors are open wide and that her work, will be guided, by those who are at the front, right?

Doesn't a clear "objective truth" not only increase our awareness, but also lays at the door sill, an invitation to engage the questions of what roads leave off where, and what roads are being left with guiding signs, as a door open to the future?

So I know with the creative impute Clifford seems to have, this could be a interesting proposition, and for Mark, such curators know well to ask what would help the public understand these issues better?


PLato saids,"Look to the perfection of the heavens for truth," while Aristotle saids "look around you at what is, if you would know the truth" To Remember: Eskesthai

Ideas, they already exist, we just have to recognize them?:)

Objective truth, should be as discernable, as the roads that lead to future thoughts and ideas. This is really a tuff question to me, and having math and physics holding two features of inductive and deductive processes within our capable minds, would have some oscillatory response to a place, where that plateau is most desirable and can lead to future ideas. It's a place where injection of all that already exists comes to awareness. We just had to get there by standing back and accessing what the picture is in relationto the room. In relation to the what draws the eye, and what peole use of it to further elucidate our understanding of.

Look to the right of Raphael's painting lower right hand corner. Look at the link this picture is connected too?

Plato - holding the Timaeus - Pointing up as a sign of his metaphysical belief in the higher world of the forms, shown with the face of Leonardo.

Aristotle - holding his Ethics with hand palm down, reflecting a more grounded approach to the problem of universals.

Heraclitus - melancholy and alone, shown with the face of Michelangelo

This is a human situation, that would seek to find all in accord with, and raises question towards, that validity and extension of inductive and deductive modes. Can we excell the physics and math approaches with this interconnectivity forward to that open invitation?



Whether physicists and Mathematicians "believe" they belong to a secular view of reality, does not diminish the humanness with which responsiblity can transverse the scope of our thinking. To further invitations of psychological valuations into the meanings of the "hot stove and a pretty girl," as an culmination of good understanding about durations of time. In happiness and sadness, while this is philosophical bent, there is reason to believe that "time" can hold these valuations. That time, can be a measure in our ascertions of human conduct?



So we want this "objectve truth" so clear and concise, that it could permeate all the way down to the generalization of good physicist and mathematicains minds, to help ordinary citizens realize that the basis of objective truth lies at the heart of these words of wisdom shed amongst the populace?

So understanding where this oscillatory feature of inductive and deductive features would serve us all well I think, helps orientate what the picture of Raphael's reality includes. Not just to be taken on the surface, for what we see?

If from a "langangrian perspective" we understood where this resonantial feature could invite human awareness of this deeper hidden valution of the unseen, then the point on the chaldni plate makes it readily discernable, where injection and place one could invite these ideas into?

Our perspective and views, can go much deeper then what we had first realized, now that we know that this "arche" oversees all roads leading to the investigations of the maths and physics simultaneously. Opens such a doorway to objectivity, and extensions of human thought about what should extend into the realms of the bulk perspective. It all arose from soem consistent geometrical modelling that none were the wiser takes place, until you look at what Einstein had to incorporate. To bring such a conclusion to the idea of seeing this world from a greater perspective then the one we are held to following lines on a sphere.

"Sailing ships" now become men(?)photons who see for the first time, a view of a globe, that we had been so long held too, that we understand a greater relationship now between clocks, and it's influence on that same photon. Influence of time?

So now for the conclusion of where this picture sits here. That one indeed might wonder about the Room of the Signatore, and the place of power it holds in the Religion of the Roman Catholic. Does it bolster religious dogma, that this article in question would point to ID and it's classification, assigned to religious held views of what science should mean?

Sure, Raphael could have been a very religious man, but artistically, what could all of this science include then? Do we denouce this part of our heritage from a historical sense, or have we progressed? Throw out dogmatic rules, that do not adhere to our scientific understanding then?

Now I think it is a better understanding and clarity of these situations that we recognize each will hold to their "religion" regardless. That if some see what we are doing by let's say holding "string theory" to such high esteem, then it is the insult of "truth," as to what we hold in our investigations?

A relation to particle reductionisms and the deeper reality taken to view the origins of our universe? It would be very insulting would it not seem, had we all agreed on historical perspective, made way for scientific enlightenment?

Strings and No_Sense?

Well for me, if theorists have mathematically created a vision of things, how is it possible not to have generalized their views on what they had learnt about the theories they talk about?

"Shut up and Calculate" would definitely appeal to a lot math minded there at the forefront of Cosmic Variance. But really, how are you going to distance yourself from such generalizations? It seeps out of your pores :)

So, no_sense could capture it? Now, Now, if this were the case then such analogies would not have been shared by the more briiliant. Non? Thank you, Michio Kaku.

As to "first principle," what are these building blocks called that make up the reality we so cherish. Robert Laughlin has something to say about this, and I am sure condense matter physicists would also say, it don't matter, if you use bricks or sergeant majors.

You arrive at some "point of view" where all agree that the Physicist's walking across the room, will have in tow, their students? Okay a bad comparison, but all branches form a wonderful view of the insurgency theorists attack, using a method to recognition of that "emergent property" will speak too, and so kindly of.

So we are to the point of the model? Bring it on, Clifford. Do you really want me to sumarize this point?

I can but it would take time and I would have to explain why high energy valutions had run into limitations. Now if it had been a experiemental setup that one could incorporate in space, and we do, don't get me wrong here. John Ellis helped to make this clear in our recognition of the Pierre Auger experiments and Steinberg's recognition of microstate blackholes that would quickly dissipate.

But in a tighter control recognition of particle reductionism, a " extra enormous energy valution" is inherently needed? NOn? They progressively/reductionistically move to this point, through the trial and errors, of their ways.

Ah heck! Clifford, I got ahead of myself here. So I'll think I'll stop, so you can fill us in from a more expert opinion.

Improve Classic Clock Tests

I think one had to understand what increasing complexity means in our universe? What relation to time would have been of value here while pointing to the quantum levels??

While there must be some pervasive view overlooking all of our ideals about gravity considerations and bulk perspective, the consistancy of the return too, and resulting complexities in expression, would be very hard to define, if such probabilistic manifestation of matter distinctions were to arise from some "specific rotational values?" We have a image of the developement of our cosmo, so what pray tell would enlist these rotational values to become some other universe and not this one? This "information" had to exist, as it's collapse and consequencal negativity expression manifested?



At the time such "anti-situations" are raised towards the very idea of findng a means to see such insight into a value issuing from this collapse. What would intiate such "jets" to emerge from a cosmological event or a quantum one??

This relationship between matter particles and force carriers is called supersymmetry.

If such a view was consistent within the framework of the "collapsing event" then how would supersymmetrical valuation ever be held to the creation of these "negative values"? It's beginning? So where would the information rest in the bulk. It's condensive features in graviton gatherings indicate such a value would have been triggerred in this collapse.




Of course we deal with historical perspectives first so we get a good sense here.

The two clocks depicted in the official logo for the CPT '04 meeting are related by the parity transformation (P). The inversion of black and white represents charge conservation (C), while time reversal (T) is represented by the movement of the hands of the clock in opposite directions.

Of course this starts out as a philosphical journey but it gets more detailed as time moves on, and we look for such issues in subject Sean writes above? From whence all things come and at whch point would a pendulum point of swing detail the very nature of such oscillating features? So if ones understand flat euclidean plane where no gravity exists, then what value would arise to a dynamcial view of the nature GR sets our minds too?

The same picture can be generalized to quantum field theory (QFT), the ground state becoming the vacuum state, and the role of the little man being played by ourselves. This means that there may exist symmetries of the laws of nature which are not manifest to us because the physical world in which we live is built on a vacuum state which is not invariant under them. In other words, the physical world of our experience can appear to us very asymmetric, but this does not necessarily mean that this asymmetry belongs to the fundamental laws of nature. SSB offers a key for understanding (and utilizing) this physical possiblity.

Hidden Symmetries

I think this is one of my greatest struggles to comprehend how such a beginning could have been discerned as a supersymmetrical state, and then have symmetry breaking actions form from from it.

So how do you reconcile the "vacuum state" with the idea of this "elasticity" spread throughout all space, and then have these kinds of actions conceptually form from it?



While we may look at events within this space, "as individual" as some orbital might be seen, it does not pass some my attention that such cosmological events look vaguely familiar?



While I am being quite vague in my discriptions, it is not without some comparisons that one would ask how this universe came into to being. That we would not wonder abut some overall consensus realization from birth to death, and a recyclical nature, as necessay in the forming of these universes?

While I may see these same similarities, I am not sayng this is the way of it, just that there are two perspectives here in relation to the cosmological pallete and the quantum one, that sees some relation? Is there any, I do not know, but I know that this issue needs some more clarification.

Dirac hypothesized that what we think of as the "vacuum" is actually the state in which all the negative-energy states are filled, and none of the positive-energy states. Therefore, if we want to introduce a single electron we would have to put it in a positive-energy state, as all the negative-energy states are occupied. Furthermore, even if the electron loses energy by emitting photons it would be forbidden from dropping below zero energy.

Thus it comes from my mind that a supersymmetrical state of existance, would have found the possibilites and probabilites as a place from which all could express itself. Would we not consider such abilties of vacuum states to have produced a beginning in the form of bubble states, and from the understanding of "Dirac's sea" what possibiltes exists that such virtual particle would show itself and then quickly dissappear? All of this had to come from some where.

So quickly again, the "condense matter physics" comes to mind on how the building blocks of matter, have found some "predesigned abstract schematics"{this is a math reference} speaking to how such symmetry breaking shall make itself known in the forming constituent particles. That as we look deeper, we wonder indeed about this professor crossing the room. The marble drop or dalton board is a wonderful way in which Pascals triangles serves to initiate this idea of a pre-condition for such math expression in the world of abstract math. So what math shall lead this way?

So it held in my mind that zero pont exemplified the condition in the universe that space is really never "empty." That it needed "some thing" in which to arise from.

What geoemtrical and all incluisve could take hold of this action and reveal the wonderful events in our cosmos? So I looked at blackholes in relation to what could dissipate quite quickly(mircrostate balckholes) to what what was happening on a comsological scale in regards to to those same blackholes.

Think Math

Nature's patterns

So who is right? Well, there is much that is attractive in the Platonist point of view. It's tempting to see our everyday world as a pale shadow of a more perfect, ordered, mathematically exact one. For one thing, mathematical patterns permeate all areas of science. Moreover, they have a universal feel to them, rather as though God thumbed His way through some kind of mathematical wallpaper catalogue when He was trying to work out how to decorate His Universe. Not only that: the deity's pattern catalogue is remarkably versatile, with the same patterns being used in many different guises. For example, the ripples on the surface of sand dunes are pretty much identical to the wave patterns in liquid crystals. Raindrops and planets are both spherical. Rainbows and ripples on a pond are circular. Honeycomb patterns are used by bees to store honey (and to pigeonhole grubs for safekeeping), and they can also be found in the geographical distribution of territorial fish, the frozen magma of the Giant's Causeway, and rock piles created by convection currents in shallow lakes. Spirals can be seen in water running out of a bath and in the Andromeda Galaxy. Frothy bubbles occur in a washing-up bowl and the arrangement of galaxies.

Well the following article came to my recognition by the "picture above". When reference was made to what some might think, as what underlying reality exists as a mathematical pattern, could ever been associated to some divine will? Who or what would decide this, as representing the very idea of resonant possibilties of expression in symmetry breaking?

But crystals exhibit clear mathematical patterns of their own, such as a regular geometric form, and while nobody can deduce this in full logical rigour from the quantum mechanics of their atoms, there is a chain of reasoning that makes it plausible that the laws of quantum mechanics do indeed lead to the regularities of crystal structure.

How would one define a crystal, as having preconcieved viabilties in the quantum world? This would be very hard and uncertain thing to deal with. What rational would allow such previews of a reality before it can become something else?



See. Some might of recognized that picture above to the issue of Science and Mind by Sir Roger Penrose?

Strings: The First Three Seconds

I didn't want to invoke God here, but in any "flash" is there not some pattern that mathematically needed to describe the way everything began? A word, or sound?

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

Before the Beginning
Interview with Sir Martin Rees, Part 2

Helen Matsos (HM):

Last year the big "science event" was measuring the cosmic microwave background and dating the big bang to 13.8 billion years ago, within an 8 to 10 percent margin of error. Can you give us some idea of the boundaries of the big bang -- what was it like in the first seconds, and how far will the universe expand in the future?

So indeed the universe become entrophically considered, as the evidence starts to make itself known in all it's forms, yet there is a space. Now by itself, such expression of the universe would have one event, but imagine down on earth our moments, can cause such repercussions ahead in time?

AM:

You played yourself--twice--in the movie, "Frequency". The movie is about a father communicating from 1969 with his son in the present on a ham radio, due to an unusual atmospheric aurora that bounces radio signals across time, not just space. You played Brian Greene being interviewed by Dick Cavett as both a younger and older man. Any reflections on either the interesting premise of the movie, or the adventures of being on the big screen?

So how we categorize such encounters with the child in our hopes of encouraging it's future, or our very presence and example lead. As a sign post, of what any society could become in the eye of good moral men and women? So one can move quietly no doubt and remain unseen, while the work can be a gentle reminder, of how we can affect "each" in time. Words like "etc" that could take on greater meaning, to have the hand slight a deletion. Remember how sensitive we can be to music? In Plato's academy I had made this point clear. I make clear what dissonance can do:)It can definitiely ruffle the field. Straight up and straight forward, a comment should do for those that would like to learn.

Brian Greene

Time is far more subtle than our everyday experience would lead us to believe. In many ways, time may simply be a psychological construct for organizing the world. It is a device we scientists have found useful, but it may in fact be a dim approximation of something far more complex."

WEll here is a better view on the relation to the The Powers of Ten

I talked briefly on the "chance encounter" of a child with a scientist, and the alluring role of powers of ten takes on. As if, it can "reverberate" in the probabilities of a future time.

Who is responsible for this creative surge?:)Creative endeavors, are always fueled by another?

IN such a cultural context, how is it that we could not see underlying reality is a musical inclination taken form in what any future could become. So, by the very value of the resonance contained, a feature of any moment?

Resonance: Brownian Motion

Now before I go into this I am thinking also if how "weathered effects and chaos" would have allowed quantum probability valuations (let's say spintronic idealization to channel) to have been curtailed to a Professor crossing the room. Brane orientation and fermionic considerations held, while helping to orientate views further out in the bulk?

This encompasses the generalization in terms of bubble dynamics, or how could any singularity too "inside/out" be of value to that same gravitational collapse, regardless of macro or micro considerations?

So one would have to seen how, Langrangian "points" help to view dynamcial situations in relation to the Sun Earth Moon. I would like to have thought of a chaldni plate analogy here, pointing, to a place for consideration of movement of our satelittes with less efffort. It is a vision of geometrical correlations that such idea could have been artistically embued.

Resonance
This is a magazine that Clifford drew our attention too, and while looking in the archive I found reference here below that sort of caught my attention.



Brownian Motion Problem: Random Walk and
Beyond ,

I really find this quite interesting from a "artistic point of view".

While indeed the issue is quite complex in terms of environmental flows and such, this kind of dynamcial valution might seem interesting from the point of view of early plasmatic conditions, would it not?

Now if such supefluid conditions would arise in the collider developements then, this expression would defintiely need to answer the way in which we look at what superpsymmeterical valuation would have ever resulted in symetry breaking valuation sought from these bubble dynamics, fromthe fluid of that early universe.



What constraints would limit you from making such a comparison and the idea of bubbles that form from this bath? To viewing dynamic situations in terms of thermodynamic realization offered from other perspectves. I give some examples shortly. Just know, that gravitational collapse would have signalled a better determination then one how ever discerned, to point to efforts to understand this supersymmetrical valuation. If all grviaational states of collpase are revealled as leaidng indicators to this supersymmetreicla valuation, then the idea to me is that this points to a underlying reality that exists in our moments around us.

While Microstate blackhole would be quick to dissipate, it is equally sufficient to my thinking to see that infomration realease from this "supersymmetrical breaking" would give indictaions as information in UV indications?

Of course it's all speculation from the point of the fluid, because we have evidence of this already. So all I am doing is saying that having the stage set, then how would such relations signal new universes?

So from a geometrical standpoint, having been told that there are no physics and geometry below a certain length (is this a quantum grvaity ascertion since there is no consensus?), this makes it extremely difficult to theoretically deal with how such a issue I am relaying in terms of Brownian motion could have ever spawned those same bubble universes out of such a fluid state.

This gallery was inspired by a lecture of Dr. Julien Sprott and his work.To learn how these are created, check out my Strange Attractor Tutorial. Click on the images to enlarge them.

So my mind is set in this chaotic enviroment, but indeed, the continuity of all these movements and flows seem disjointed from one perspective, that one point over here, might be different in the way a guassian map might reveal of point "p" over there. So we know on the surface, seeing valuation in terms of gaussion coordiantes that we can spell out on the face value of this surface, would have given a ^uv of P a very much different look.


Gaussian Coordinates

We can sum this up as follows: Gauss invented a method for the mathematical treatment of continua in general, in which ?size-relations? (?distances? between neighbouring points) are defined. To every point of a continuum are assigned as many numbers (Gaussian co-ordinates) as the continuum has dimensions. This is done in such a way, that only one meaning can be attached to the assignment, and that numbers (Gaussian co-ordinates) which differ by an indefinitely small amount are assigned to adjacent points. The Gaussian co-ordinate system is a logical generalisation of the Cartesian co-ordinate system. It is also applicable to non-Euclidean continua, but only when, with respect to the defined ?size? or ?distance,? small parts of the continuum under consideration behave more nearly like a Euclidean system, the smaller the part of the continuum under our notice.

Now if such bubble dynamics were to be self revealling, such surface measures would give evidentary features of the shape of this bubble, defining geometrical propensities as a surface valuation. I am thinking here of the "rainbow colors as refractory relevance" that would seem to define heavier color variations over this surface, if using soap bubble as an example.

Plato:

So just to carry on a bit with this point "P" in gaussian coordinated of frame of UV, what realization exists that we could not find some relevance here in the geometry to have further exploited the mind's capabilties by venturing into the Wunderkammern of thinking. By association, of Nigel Hitchin's "B Field manifestations geometries" to realize that althought these might be limited to what Jacque is saying , then what value this geometry if we can not see the landscape as something real in time variable measures?

Now you know you could have never come to this "shape" without the birthing process of expansitory values of a new universe right? So of course there is something troubling about chaotc environments, but also the nice fluidic forms of expression that would seem to reveal the dynamics of nature in overlaid valuation, of motion.

Having come to a surface valution of expansitory features such as a measdure of the earth in a "time variable mode", makes much more sense to me having accumulative histories and use of Grace, that we would now say hey, ourviews of spherical and round earth we live on has a certain new feature about it, that does not seem so pretty. Well, we defined the valuation gravitationally over this whole planet and it is encased. So I see it as a bubble defined to it's mass context and density variations etc.