Laval Nozzle and the Blackhole

Often times model changes help perspective, where previously idealization will be contained. Moving beyond the experimental grasp for new ways in which to interpret, require a mode and offensive into producing new variations of ole thngs held in context? Ths is why such models like string that began in one mode in terms of quark confinement have now bloossomed into modes cocnerned with quantum gravity.



Discovering new dimensions at LHC

More dramatically still, the LHC could produce fundamental string relations of our familiar particles, such as higher-spin relatives of electrons or photons. There is also a possibility that, owing to the now much stronger gravitational interactions, microscopically tiny black holes could be produced with striking signals.

Once idealization and understanding developed in quark Confinement, it is understood the shift to the metric and the idealization of that measure became a property I found in the way we now deal with the perceptions containing dimensional significance? Strng Theory, that had graduade from the model apprehensions early on, here to a more fundamental pursuate of how we see in those extra dimensions, compact as they may be?

Acoustic Metric (29 Dec 2005 Wiki)

In mathematical physics, a metric (mathematics) describes the arrangement of relative distances within a surface or volume, usually measured by signals passing through the region – essentially describing the intrinsic geometry of the region. An acoustic metric will describe the signal-carrying properties characteristic of a given particulate medium in acoustics, or in fluid dynamics. Other descriptive names such as sonic metric are also sometimes used, interchangeably.

Since "acoustic" behaviour is intuitively familiar from everyday experience, many complex "acoustic" effects can be confidently described without recourse to advanced mathematics. The rest of this article contrasts the "everyday" properties of an acoustic metric with the more intensely studied and better-documented "gravitational" behaviour of general relativity

On the Universality of the Hawking Effectby William G. Unruh and Ralf Schutzhold

Addressing the question of whether the Hawking effect depends on degrees of freedom at ultra-high (e.g., Planckian) energies/momenta, we propose three rather general conditions on these degrees of freedom under which the Hawking effect is reproduced to lowest order. As a generalization of Corley’s results, we present a rather general model based on non-linear dispersion relations satisfying these conditions together with a derivation of the Hawking effect for that model. However, we also demonstrate counter-examples, which do not appear to be unphysical or artificial, displaying strong deviations from Hawking’s result. Therefore, whether real black holes emit Hawking radiation remains an open question and could give non-trivial information about Planckian physics.

It is important that when thinking about this universality that the derivations of such thinking is understood by me so I ahve to lay it out in a sequence that suports the end part of this post so that it is brought togher in a nice way. I bold mark thos epoints that help greatly in my understanding.

Acoustic_theory(28 Dec 2005 Wiki)

Acoustic theory is the field relating to mathematical description of sound waves. It is derived from fluid dynamics. See acoustics for the engineering approach.

The propagation of sound waves in air can be modeled by an equation of motion (conservation of momentum) and an equation of continuity (conservation of mass). With some simplifications, in particular constant density, they can be given as follows:


where is the acoustic pressure and is the acoustic fluid velocity vector, is the vector of spatial coordinates x,y,z, t is the time, ρ0 is the static density of air and c is the speed of sound in air.

Fluid Dynamics (28 Dec 2005 Wiki)

Fluid dynamics offers a mathematical structure, which underlies these practical discipines, that embraces empirical and semi-empirical laws, derived from flow measurement, used to solve practical problems. The solution of a fluid dynamics problem typically involves calculating for various properties of the fluid, such as velocity, pressure, density, and temperature, as functions of space and time

So these ideas in terms of analogies help to push forarwd understanding where we might have been limited in our views before. I know, they certainly help me.

"Analogue Gravity"
by Carlos Barceló and Stefano Liberati and Matt Visser

Abstract

Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).

and here......

Parentani showed that the effects of the fluctuations of the metric (due to the in-going flux of energy at the horizon) on the out-going radiation led to a description of Hawking radiation similar to that obtained with analogue models. It would be interesting to develop the equivalent formalism for quantum analogue models and to investigate the different emerging approximate regimes.

I am always interested in how science might take these analogies in concert with how we understand blackhole horizon abilites. To exemplify the understanding of where "this place of virtual reality might issue from such a ground state" might be, in terms of what might flow one way, and what will flow in another, as photon pairs do from around the blackhole.

How far can this be taken as we look to understand Hawking radiation? How would such constrictions pave the way for sound emitted and held in context of Hawking Radiation, flowing through a pipe? We've had our lessons from Cosmic Variance on this, but would it have ever been taken this far?

Well, I still like to think about the gravitational comparisons here, so I would be very happy to have found some geometrical propensities towards how the horizon would have given us a good picture of what "first principle" might be as we look at the nature of hawking radiation, and how the standard model is featured from that horizon. So of course I am thinking deeply about all the things I have been learning.

I hope one day a comprehensive picture forms so that I can finally understand what is going on?

Further "Analogy" sought by me to help my perspective.

Bubble World and Geometrodynamics

Tiny Bubbles

Aristotle and the Logic of the Natural World

Aristotle's logic, especially his theory of the syllogism, has had an unparalleled influence on the history of Western thought. It did not always hold this position: in the Hellenistic period, Stoic logic, and in particular the work of Chrysippus, was much more celebrated. However, in later antiquity, following the work of Aristotelian Commentators, Aristotle's logic became dominant, and Aristotelian logic was what was transmitted to the Arabic and the Latin medieval traditions, while the works of Chrysippus have not survived.

First and formost one should be drawn to the very highlighted statement emblazoned at the top of this blog.

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"

I have to move quick forward here and reveal why the thinking is quite intense in terms of what such logic would have been revealling by "looking around you at what is." While I recognize this basis implanted in the natural world, such divisions arises from what had already existed. What we could accesss, as tangible realities of the ideas around us. "From whence they come?"

So maybe a list of the maths involved so far? If we can wrap these maths then what had we done from the perspective of the natural world? Would such creation of a new math help here?:) I have an idea, but all that thngs that currently exist and that will exist are already here. We just have to access them right? So what would support such adventures froma philosophy that had endured to realites of the natural process from the logic of a math? What math would this be?:)

Algebra

Geometry

Trigonometry

Calculus (single variable)

Analytic Geometry

Linear Algebra

Ordinary Differential Equations

Partial Differential Equations

Methods of approximation

Probability and statistics

Real analysis

Complex analysis

Group theory

Differential geometry

Lie groups

Differential forms

Homology

Cohomology

Homotopy

Fiber bundles

Characteristic classes

Index theorems

Supersymmetry and supergravity

K-theory

Noncommutative geometry (NCG for short)

So the idea is that Plato and Aristotle stand together, as a basis of what is happening in our world now. Between those of science and the resulting needs for experimentation. The roads to lead from the underlying avenues of philosophical thought, that would include math develoepment.

Now how is this possible you ask? How is it possible such logic coud have been so revealling of nature that we would strive to find it's meaning in patterns underlying the nature of this reality, are actually abstract rules of engagement, that had been developed through philosophical thought? How so?

If we look at the number of mayh creations what uses are these when moved into the basis is of the natural world? Would you not think these modes of thinking would be tempered by such logic, that math would find it's birthing as to the need for such expressions from this natural world?

So part of the realization is that the creation of the math had to have already existed in the forms of natures response, and that such access gained to these ideas, are worth noting as a means to what already existed in nature. That is my logic:)

Experimentation

So is there a method to the madness of all these tidbits of information that would wrap all of this in a easy way to divine the logic of the natural world? Is it beyond comprehension? I don't believe so, or why would I waste my time as a lay person, to move into this world of a higher standard of abstract thought and developing sciences, to wonder about the origins of the nature of this reality and the cosmolgical equivalent of asking what happened in that beginning of creation?

Would it be so subtle that such logic woud have been driven to ask where this beginning was, and what roads had currently lead all these minds to this very question.

Some act very safe, and walk safe ground, by what methods are currently tangible in our assessments, while other are quite adventurous. Some ask, that you stay in line, with current experimentation or suffer the wrath of deriving illusionary tales of ideas, that had not matured yet, as to the feasibility to what will express this logic of the natural world.


Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"

So mine is a simple philosophy, that holds complex variables. A simple painting, that holds a thuosand words?:) To me Math is like that, yet I am deficient in all the logic it had to bear down on the natural processes in this world. While my collegues are simple folk, I recognized the diversity of that group that Lubos and Clifford belong too. This is the origins of my statement. I understand as well, about the crackpostism that follows aether rejuvenation, yet I see the graviton as a member of that spacetime fabric.

Is this enough to speak on the creation and fabrications we like to embue to that natural world? Is it enough to understand these concepts, and find such roads leading too, are the very fringes of what is known and came from a brighter light that shines from behind us, to those shadows on the wall?

Mathematical Models

"Backwards" might mean, from a "5d understanding" to a three dimensional fabrication. You had to understand how the 5d world is explained here, before judgement is cast.

While I would like nothing more then to cater to the struggles of good professors, to the aims they had set for themselves, it has come to me, that mathematic modelling is culminative. Where does this point too?

If indeed a good understanding has been established, regardless of string theory or any association for that matter, this stand alone item on Langlands or what ever one might associated it too, would of itself, painted it's own picture and further associations, from a basis and exposition of that mathemtical derivative.

It does not have to be associated it either to historical figures (like Plato), other then the ones we trace to the orignation and factors that brought other areas of mathematics together. This should be readily available, by doing searches which I did. Although I sahl say there is much that needs to be resolved, in our determinations of truth. I am working on understanding this here.

But then to take it further, I wanted to illustrate this point just a little more on imaging.

Thomas Banchoff has set this straight in terms of modelling in computerization and what it can do for us in 5D expressions? While in the Wunderkammern of this site such model although concretize in form have relative associations in computerization value much like the model of the Klein bottle exemplified of itself in acme products.

x = cos(u)*(cos(u/2)*(sqrt_2+cos(v))+(sin(u/2)*sin(v)*cos(v)))

y = sin(u)*(cos(u/2)*(sqrt_2+cos(v))+(sin(u/2)*sin(v)*cos(v)))

z = -1*sin(u/2)*(sqrt_2+cos(v))+cos(u/2)*sin(v)*cos(v)

or in polynomial form:

Yep, no doubt about it: Your Acme's Klein Bottle is a real Riemannian manifold, just waiting for you to define a Euclidean metric at every point.

Felix Klein

When Klein became a Professor in Leipzig in 1880, he immediately started to acquire mathematical models and establish a model collection. Klein was a geometer and used these plaster models in his university lectures. Model collections became very popular in mathematics departments world-wide. When he then moved to Göttingen, Klein, together with his colleague Hermann Amandus Schwarz, expanded his new department's collection of mathematical models and instruments so much that at peak times up to 500 models were on permanent display. When you think that a model could cost about £150, this was a major investment in education.

This idea is and has been lost to the model archives of the Wunderkammern respectively and such a resurgence is making it's way back. Such O ->an outward expression is no less the road taken in artistic expression entitled, "When is a Pipe a pipe," exemplified in the manifestation of mathematical modelling.

Our computer screen although reduced to two dimensional factors, is a fifth dimensional expression, in terms of our visulization capability. The work then is translation of computerization, to imaging.

The "Torso" once mathematically derived, and help enlisted in the Cave, brought mathematical equation through a complete rotation in the Calabi Yau. Until then, the efforts relied on by men/woman whose visualization capabiltes, were equivalent to 5d imaging?

So if I ask, if there is a image of a culminative mathe, without out this the understanding is not complete.

Thematic Resolutions

It is of course with some concern that any scientific mind, held to the established rules of his organizational, "motto of acceptance of the stringent rules of science" would allow such room, as to embue the human being with qualities greater then, the value assigned to subjective valuations. A church of reason that finds itself distasteful to the inquiry of life, and sanction it to the discourse of valued scientific principals that those of Strings and LQG fight back and forth with.

It's okay, we won't be fooled:)

Is it a coming to terms with the features we see in our own makeup as children, that we might sight the significant memory of that same childhood. What stuck, that you would have seen this course of action, no less then what held a Einstein in the mystery of the world, to understand it is a real and wonderful world of the forces that we do not readily see, yet we know well it directs the sciences in our world.


Nuances

The Alchemy of Creativity and the Social Artist.

Briggs speaks of themata as informing the lives of many geniuses. Beginning with themata for example --what are they, what is their deeper purpose and meaning? I see them as patterns of creation for which we are specially tuned, each of us tuned differently by the special sense organs in ourselves which pick up variations on these themes throughout the world. The famous example of the child Einstein and his fascination with the magnetic operation of the compass which then influenced his entire life of looking for the electromagnetic field in the unified field of reality. Each of us then is given as our gift a kind of guiding visionary theme which recurs throughout our life, and when we attend to it as an ally and helper, it gives us unique perspectives on working with reality.

God's Equation, by Amir D. Aczel, Pg 14

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.Reminicing in old age, Einstein mentioned this incident as one of the factors that perhaps motivated him years later to study the gravitational field.

Is there some deeper force that evades our thinking, that it could have transcended the world of science, to know that envisioning the capabilities beyond those we enlist in our psychological reasoning, has real physical results manifest. It has been the direction and question that has existed most in my mind, that the world of the discrete, had many explanations before such solidification could have ever existed in the mind of concrete things.

So while such a view is held to a space beyond the limitations of math's design, such views revealled in the Wunderkammer were realistic abilties of the mind to incorporate the envisioning abilites beyond the euclidean defintions. "Straight lines and course of measure," that there could exist other forms beyond the limitations Einstein sought to describe for us in the gravity explanation given in General relativity.

It is well understood that the adventures lead too here were very instrumental in the realization that the noneuclidena geometires were very well adpatable to the view of Faradya, Gauss and Riemann in further defining ths geometric tendency a sa basis of exploration that today we are taken inot the abstract space of mind.

So what was the motivating force and we find that the culminative effect of a life exists, for those who by name are defined. Where is this basis that we can call forth eth elemental table of Mendelev to say that al things arise and her eare the concrete constructs of mind embellsih in the material world?

The light behind, in the analogy of Plato's cave, sets up the thinking in how issues from the source[the fire]( and here it might be referred to the fifth dimension)shines in its radiation. How is form realized?

Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"

The jest here recognizes, that a picture of, and the real pipe are very different indeed. How is "form" percieved from perspective. The picture of the pipe and the real pipe are different things? And yet in this comparison, there is a third aspect as the idea?

It was a attempt to define this emergent property of existance that all of it could have been derived from some basis? Background dependant/ independant and two views that enlist the funcitonabiltiy to discourse, the thoughts held?

So it is well understood that such motivations that drive the character have some motivating force beyond what we had understood in the complete individual, called a "Peter Woit" or a "Lubos Motl", to find that such forces govern one or the other in it's drive for expression. One the justice that would not milead scoiety from someintelligent design feature to have gauaged society to a standard of being, better undertsood with a greater idealism set? Or of th efire that instigates a lubos Motl to question and position and valid it no less then the "peacemaker" might have revealled in the just and reasonable society?

So we have exposed a greater potential relaization that not only is motivated from perspectve, to find the creation of the universe is no less the creative adventure of the soul in i';s own design, for fruitation. So where exists this idea who find itself of the universe, as it unfolded in it's own motivation?

HIgher Dimensions Without the Geometry?

In Illusions and Miracles I became concerned with what the mind's capabilties which could encounter fifth dimensional views. That such examples were needed, and found in relation to Thomas Banchoff.

Having understood the early development from Euclidean perspective, our furthered evolutionary developement of the geometries, were gained by moving beyond the fifth postulate. I became comfortable with a dynamical realization about our universe(Omega), and about the idealization of curvature in dynamical fields of supergravity.

I made the statement that GR is reduced from the higher geometries and along with that view the understanding that things existed in earliers states of being. Robert Laughlin's views of complexity and symmetry breaking would reveal to me, that the matter states of form, were derived from "other states of existance". This is a fundamental realization of higher dimensional attributes revealled in the topologies/geometries. So from higher, and the continuity of, topological considerations to the firmly fixed realms of geometries in the forms? So from early universe to now, what views allow us to consider that symmetical breaking that has gone through phase transitions, to get from the planck epoch phase of our universe to today?

Having come in contact with a new type of thinking in the realm of the geometries, it became very important to me to understand how this could have manifested early in our historical background? I followed it through GR in order for this to make sense, I continued to move and consider the higher dimensional relevance new models might use in their move to the abstracts realms of thinking.

Here I would interject the realization of string theory, and ask why such a rejection mathematically, would dimiss the subject of strings based on this dimensional realization, and then quickly disperse, string's relevance because of the higher dimensional significance brought to bear on the attribtues of the minds capabilties? Part of the develpement of the brains compacity was the realization that such images produced(higher topological math forms), could indeed symmetryically break to forms within the world. Forms within mind, that could lead to solification in the math? When is a Pipe a Pipe?:)

This is what had troubled me most, noting Peter Woit's rejection of the value of his "anti" campaign of string theory evolution. Maybe, it was more then the idea of the subject and it's established views that he felt were as much part of the illusion as any other theory, that found itself unscientifically determined? Based on the constructs string theory developed? Maybe it was the funding biased felt towards this subject, and lack of, somewhere else. We wouldn't know this, because he had no alternative?

What Pattern Emerges?

Problem solvers have a way of getting to the heart of the issues, and unfortunately when ones engages competent minds like Peter Woit in the world? Whose sign post is,"anti-string with no explanation"? This is simple in the minds of the general public? It then becomes a rant, without a substantial basis? Why? Because he had no platform with which to refute?

So this attempt was fruitless, in wondering why strings should not be.

What I did find viable in looking for myself, is finding out where strings applicable features pervaded and what they were describing. Both bottum up and top down have to find approaches that emerge from a place that asks us to map this progress, and there is only one place that allows me to understand this operation.

The spectrum.

When you look at Glast operations this idealization of using the spectrum in cosmological discernation, helped to clarify why the move of strings to a cosmological operation platform was necessary from a experimental and scientific undertanding. Why was this move important?

It had to do with the amounts of energy needed to explore the principles of reductionism? How could we extend reductionism to a cosmological question about the origins of our beginning? There were no limitations as to the question of the energy that could be displayed for us all to wonder on that cosmological pallete, and here Relativity Ruled.

While complexity, asks us about the means of what is established in the forms, stands for us in our observations, as existing? Many people feel safe in what they can see?

I looked for comparative features. Like how ideas could emerge and as a good example of what math could issue from the minds of those whose good observation could speak about natures manfestations.

How good are the observatory minds of mathematicians? That would systematically describe for us this idealization of quantum reality and Relativity to join in a way that makes sense?

Macroscopic and microcosmo perceptions joined?

You say Time? Julian Barbour wants to do away with Time? Yet his goal is the same? He calls Time a human construct? What isn'taside from everythng else that we don't see? Science reveals a deeper truth?

Killing Time

Barbour posits that time is, in fact, an illusion - a measure imposed on the world by humanity. He explains this with the concept of a 'now', which he describes as a snapshot in time - a completely frozen, self-contained instant (much like a Polaroid photograph). Time is simply the measure of the space between two separate and unrelated 'nows.'

BarryTo offer that I am an engineer and a sculpture with a carear of problem solving. To offer that making me understand the final solution is to achieve making it clear to anyone.

I am somewhat like a philosopsher as you are, minus, the engineering, yet I am quite capable of peering past the veil that good minds construct.

In the end, what is taken with you might be the realization that of all the thought forms we have estanblished and created. The illusion that we move through, hides a deeper truth, and we were emersed within it the whole time. Science, verified the anomalies that we saw?

How much power then could we grant the mind who escapes this realization, to find that all the thoughts that have ever existed, were weighted with the gravity that held us to earth? That the forms, revealled a deeper realization of their beginnings?

As the temperature cooled, the solification was final and so was the idealization that manifested from the idea.

When is a pipe a pipe? Is a question about what supergravity reveals in the forms manifestation. Crystalization. What pattern emerges?


Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"

Yet probablistic in nature, how could such things arrange themselves as they have?

There is a deeper question here about the reality. If the idea is born in mind how would it not burn up, comparative to the beginning of our universe? Yet nature has supplied a good analogy of bubbles that form, rise to the surface, and this could have been information that arose from the fifth dimension? It all arose form the mind of the subconsious? It was always closer to the source. Why Ramanujan and Einsteins note taking in the subtle realms help to spur the incubation of reality to a deepr level of questions.

People might say indeed, that this departure point from the sane world of forms, is the moving further into the illusions? But if we cannot find a way to free ourselves, then surely, one will accept the consequences of there reality, as they take it with them?:)