Monday, March 21, 2005

Power of Symmetry Allows Us to Unify Disparate Pieces?

You know it is very frustrating sometimes when the paradoxal is presented to the mind through obsevration, to have it sloughed off as some speculative point that might be less then what the Doctor ordered?

In this case, the cause of the observation posts, what a three brane wrapped blackhole can mean? Here we see where the issues of Space-tearng conifold transitions are presented in a theoretical approach and quickly discarded by some, because it contained the brane word and would imply some kind of Brain world, ( Brane world.)

Well if you do not catch it the first time, there is hope that the theoretic applied will speak to what Hawking radiation might have in regards to the gravitational collapse initiated.

What is this physics doing here? This is not some free jaunt down memory lane, but a advancement in what is proposed? Very difficult to do this, if the environment is not translated in and by other ways, to see what the outcome of such a gravitational collapse can do. What is transmitted back into the space?

So I leave this here for a minute, and draw a quote from someone who is a good writer and has a good comprehension of the world as it sits. He might have been targeted as some wonder seeker by some, but his position to me has presented inquiring minds with the knowledge and basis, from which we must think.

So here is his quote, and I shall not name him. So that those who think he is some "wonder seeker" who has bastard the science who sold out his values, might wonder about their own position in the developing world of theoretics. To wonder, why such a message might not be important, when they think they can propose their own views about what the world should be.

Should what they have to say be held in any less contempt, that we should not only apply these same rules to those who hold a position about the harmonious whole, that we should even take the time to listen what they have to say?

To be quickly dismissed as verbiage not worth seeking because of some entertainment value as though one might he have sold out his profession? Any one, who uses this medium and blogging, can now consider themself part of the evil they think has manifested and sold out on. I refuse to even name this individual because he is advanced in his thinkng and is courting the world of theoretics.

For the first time, physicists appreciate the power of symmetry in their equations. When a physicist talks about “beauty and elegance” in physics, what he or she often really means is that symmetry allows one to unify a large number of diverse phenomena and concepts into a remarkably compact form. The more beautiful an equation is, the more symmetry it possesses, and the more phenomena it can explain in the shortest amount of space Pg 76


And again here so that we see know less the value of these inisghts, I place this final quote of his as well.

Rotating in four dimensional space unifies the concept of space and time


You had to know, that the pre-existing set of cicumstances would highlight the accomplishements of what Maxwell had done, as well as, learn to see into what the world Gauss and Reimann sought to exemplify beyond our normal comprehensions modes.

Moving into such realms dones not as far as I see it lessen the impact of what theorectic has done by way of descrbing the physics, but cautiously asks us to see what is happening in those compacted spaces.

Friday, March 18, 2005

Space-Tearing Conifold Transitions

Many years ago in my doodling, I created some comparisons to what I would have percieved in describing a point, line and plane. To me, I wanted to find a way to describe this point amidst a vast background of all points, so by constructing this diagram, and by realizing coordinates, intersection of lines and planes seemed a interesting idea to get to this point.

This brought some consideration to what was being shown by Greene below.


The Elegant Universe, by Brian Greene, pg 326


Now at the time, this being far removed from the stories that are developing in string theory, learning that having moved to brane considerations we can see where three brane world wrapped around a sphere could produce wonderful things for us to further ponder. That such emissions, from the gravitatinal collapse could all of a sudden produce, massless vibrating strings. We know then that such strings can be a photon or a other massless particles?:)


The Elegant Universe, by Brian Greene, pg 327

Part of the problem then for me is to figure out the stage of the developement of the cosmo what stage followed which stage, and the scheme within the cosmological display, the torus that had to become a sphere, or sphere collapsing to a torus? Concentrations of gravitonic expressions?

There were geometrical consideration here to think about.

Physicists found that a three-brane wrapped around a three-dimensional sphere will result in a gravitational field bearing the appearance of an extremal black hole, or one that has the minimum mass consistent with its force charges. Additionally, the mass of the three-brane is the mass of the black hole and is directly proportional to the volume of the sphere. Therefore, a sphere that collapses to a point as described above appears to us as a massless black hole, which will return to the discussion later.


Now as you know from my previous thread on the Flower considerations, color is a wonderful thing, but if my view was to be consistent, then how could there be any tearing in the use of a topological structure? The flower became very symbolic to me of what we see in the universe unfolding in these galaxies?

Two-dimensional strings trace out two-dimensional worldsheets. Since strings, according to Feynman's sum-over-paths formulation of quantum mechanics, simultaneously travel by all paths from one point to another, they are always passing by every point in space. According to physicist Edward Witten, this property of strings ensures that six-dimensional figures called Calabi-Yau spaces (theorized to be the shape of the other dimensions of our universe) can be transformed by certain topology-changing deformations called flop transitions without causing physical calamity. This is because strings are constantly sweeping out two-dimensional worldsheets that shield the flop transition point from the rest of the universe. A similar thought process goes toward the ability of Calabi-Yau spaces to undergo more drastic changes called space-tearing conifold transitions.


In order for me to consider the comlexity of the question certain insights about the nature of our universe has pointed out that there always had to be something existing, even in face of what any of us might thought of as a singularity in that blackhole collapse. But it is not that easy.

One had to assume that the bulk represented the continuance of some kind of flunctuating field of endeavor, that could hold our thoughts to dimensional attributes shared in the presetnation of Reimann's sphere. Gauss saw this early and gaussian coordinates also help to unite Maxwell into the glorifed picture of a dynamcial world?

The replacement of a 1-D sphere ( a circle ) with a 0-D sphere ( two points ) can create a different topological shape. A do-nut has a circle, round its lesser diameter, which is pinched to nothing. The do-nut turns into a cresent or banana-shape, with the two end-points repaired by the two points of a zero-dimensional sphere. The torus cum cresent can now transform into a ball, without further tearing.

This is as if Klein's hidden extra dimensions of space transformed from the one curled-up shape to another, comparably to the normal extended three dimensions changing the shape of the universe from a torus to a ball.
The evolution of the universe may involve such transmutations between curled-up Calabi-Yau spaces.

Equations governing the 'branes' showed that, from our limited three-dimensional view-point, the three-brane "smeared" around a three-dimensional sphere, within a ( curled-up ) Calabi-Yau space, sets up a gravitational field like a black hole.
The space tearing conifold transition from three to two dimensional sphere happens to increase the number of holes by one. These holes determine the number of low mass particles, considered as low energy string vibration patterns. The shrinking volume of the 3-D sphere goes with a proportionate mass decrease to zero: a massless black hole.

On a Very Large Scale Spatial Curvature?



These are beautiful pictures of flowers my wife grew, and as a collage they make a nice way of expressing the diversity of galaxies, within context of our whole universe.:)

So you develope this sense on the large scale about what is possible given certain circumstances. What is driving inflation? As this universe expands and we realize that Omega=1 one has to assume that teetering on the brink of a topolgical form has some significane in how we see the overall expression of this same universe?



What are supersymmetrical valuations telling us about the nature of the universe in that the beginning? Is it "seed like" and how would such things be driven too, if something did not already exist? Can this nugget actually be living in nothing and arise from nothing? This logic is really hard to swallow for me, yet I recognized that a dynamcial universe needed soemthing in order to drive it from such flat state of existance, to indicators that would have revealled and explained these geometries/topologies.


Unsymmetrical-cooling-gravity weaker
Expanding
\ /
\ /
\ /
_\ /___
/ \ / /
/ \ / /
/ \/ / --------
/ / Supergravity
------------- Symmetrical
^
I
seedlike



If you define something arising from such a state where nothing exists, the logic saids, that the geometry could have never arisen if you did not have some motivator telling it too? So you begin to enteretain cyclical natures that would be very revealling. Steinhardt, Turok, and others start to wonder then about how these things could materialize?

Image Hosted by ImageShack.us


So we look at the span of time in relation, from the supersymmterical state to the 300,000? Yet on a dynamical level if the universe was to level out in fifteen billions years, then we would have understood that we had only seen one part of this dynamic process revealing itself from a state of existance maybe as a nugget form, to extend itself, all the way to the outer fringes and cooling nature, in a flat state. Will it turn back to the crunch?



One consequence of general relativity is that the curvature of space depends on the ratio of rho to rho(crit). We call this ratio Omega = rho/rho(crit). For Omega less than 1, the Universe has negatively curved or hyperbolic geometry. For Omega = 1, the Universe has Euclidean or flat geometry. For Omega greater than 1, the Universe has positively curved or spherical geometry. We have already seen that the zero density case has hyperbolic geometry, since the cosmic time slices in the special relativistic coordinates were hyperboloids in this model.


So the logic is telling me that such a crunch would have had to signal other geometries/topologies, that would kick in, that taken in view of the large way in which we are taking snapshots, this consistentcy is being, and should be topolgically considered even though it is happenng on such large scales?

If a blackhole existed in the center of every galaxy, then the universal expression in nature would detail for us "phases in symmetrical breaking" within the overall larger perspective?

On this larger perspective and sense, we would see this mode of operandi, expressing itself many times not just in context of the whole universe, but within the subtle parts, all the way down to the microstates of existance? Thes ewould have to be initiated even within context of our safe and surreal world of matter states, that we have come to love and feel safe in?:)

So what does sound have to to do with all this?

I like knocking the wind out of the sails in order for one to shift perspective in how resonances might be percieved and such gatherings in nodal point cosiderations, as string indicators of gravitonic expression.

In order to shift this focus to such states of cyclical natures in the realms of topological considerations, you had to understand that even on a flat plate in Chaldni examples, these views were developing on much larger scales, on ballons with dyes, all the time revealing resonant features, to the quality of those same sounds?

Ahem!:)Ya I know. How do you transfer such thinking from orbits of Mercury and binary star rotations to signal valuations in sound determinations? Now remeber I gave a very global perspective on the unverse that include geometry/topological considerations. I wanted to shift these views to viable means of expression.:)

One the Earth as a Sphere is not so Round, and giving the symetrical relaizatin of a sphere, smaller circles and all, there had to be a way inorder to speak to the 1r radius of expresion not just a s a inverse square law valution of gravity, but also within context of other things based on this law. These within the case of the standard model would have to be inclusive in a model design.

Thursday, March 17, 2005

Without Gravitational Waves, Spacetime is Flat?

I know it is very difficult for some people to understand this translation to harmonical expressions(any horizon and what is to lie beyond?) and the way in which we would percieve this dynamcial nature, using the expressions of non-Euclidean geometries?



We understood this creation of positive and negtaive in context of each other did we?

Riemannian Geometry, also known as elliptical geometry, is the geometry of the surface of a sphere. It replaces Euclid's Parallel Postulate with, "Through any point in the plane, there exists no line parallel to a given line." A line in this geometry is a great circle. The sum of the angles of a triangle in Riemannian Geometry is > 180°.



It is a strange thing to wonder how the heck one get's to translating harmonical oscillations in context of what we see expounded by Taylor and Hulse. To understand that at some point, the rotation around each other in distance, will decrease in time, and the oscillations will increase? What does this signal?:)



You do not discard thnking about the cosmological nature, methods, that have been used to orientate the world view in such a way, where all of a sudden the complexity of this dynamical nature has moved your thinking to strength and weakness of those same gravitational wave explanations.


Working closely with the experimental group, we use astrophysical, particle physics and superstring theory combined with observations to study gravitation and the origin and evolution of our universe.



The beautiful consistency of the cosmological tests with the Lambda CDM theory for structure formation maybe is particularly impressive to me because I spent so much of the last 15 years studying alternatives; you can trace through astro-ph my history of proposals that were viable when submitted but soon ruled out by advances in measurements of the angular distribution of the 3K thermal background radiation. But the constraints from the cosmological tests are not yet much more numerous than the assumptions in Lambda CDM and related models; it's too soon to declare closure of the cosmological tests.

Wednesday, March 16, 2005

Great Circles



You would think with this uncertainty, that I had answered my own question about what Peter Woit has done, in terms of offering some substantiative understanding for rejection of string theory. But it doesn't.

Sometimes we rely on the roads taken by Webber, Wheeler and Kip, and those who understood well the consequence of gravitational considerations, to further enhance these specualtive journies and to better explore the bulk that might have varying attributes?


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
.


What am I saying here? You mean, that in the primordial understanding there are extensions of what could be thought of in terms of strength and weakness, in gravitational terms? I would most certainly like to see the light shining in these circumstances.:)But like anything of course, we like to LIGOlize these terms for further consideration. Don't we?


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

Saturday, March 12, 2005

Bubble world




Using a rubber band analogy over top of a ball is a interesting way to approach the circle used, and the energy determinations found of value in calculating 1r radius(KK Tower) of that same circle, as you move to the top. But if you move it along a length and you find that you can calculate the difference in this length by the changes in the energy valuations?



It’s how you look at this space inside the bubble versus outside the bubble. John Baez might look at it on the outside as such above recognizing well the lines connectin flip and change depending on the energy demonstrated in a quantum grvaity model? While the inside of the bubble is dictated by some other means of interpretation? From the inside, a soccer ball universe(poincare structure) would seem so appropriate but here Max Tegmark has answer this view, through Wmap views?



For me, I would look at the surface of the bubble and the rainbows that could shimmer across it’s surface. We would be defining the shape of the bubble in a way we had not considered before? Moving sound in analogy to the world of gravitational considerations how would this view be considered now in context of bubble technologies?



Using circles as energy determination seems viable as they travel the length, but it becomes much more diffiuclt when you are trying to merge these bubbles, it looks discrete, when the lines are joining while curvature defines the connection between the two? You see the bubbles have a outer structure. As these circles merge, it is not past the knowledge to coisder that the path integral approach is being exemplified.

Running contrary to the view of bubble world, the images of a vast systems of cosmic strings that would flash across a universe may seem very interesting as I gaze from artistic perception about the flash of a lightening strike? That ignited new possibilties into expression, new life in the universe?

Quantum gravity, the as yet unconsummated marriage between quantum physics and Einstein's general relativity, is widely (though perhaps not universally) regarded as the single most pressing problem facing theoretical physics at the turn of the millennium. The two main contenders, ``Brane theory/ String theory'' and ``Quantum geometry/ new variables'', have their genesis in different communities. They address different questions, using different strategies, and have different strengths (and weaknesses).



What is Quantum Gravity?

Quantum gravity is the field devoted to finding the microstructure of spacetime. Is space continuous? Does spacetime geometry make sense near the initial singularity? Deep inside a black hole? These are the sort of questions a theory of quantum gravity is expected to answer. The root of our search for the theory is a exploration of the quantum foundations of spacetime. At the very least, quantum gravity ought to describe physics on the smallest possible scales - expected to be 10-35 meters. (Easy to find with dimensional analysis: Build a quantity with the dimensions of length using the speed of light, Planck's constant, and Newton's constant.) Whether quantum gravity will yield a revolutionary shift in quantum theory, general relativity, or both remains to be seen.

Friday, March 11, 2005

Cosmic Strings Revisited

This high energy consideration does this, as well as directs the mind to consider the cosmological evidence that lays before us now. Dimensional interpretation, has to have it's basis contained within this whole view. With the cosmic string we are only defining a period of time with in the whole expression of this same universe? This would inlcude Pre bang scenarios and how these must be included.

Cosmic Superstrings Revisitedby Joseph Polchinski
Thus far we have quoted upper bounds, but there are possible detections of strings via gravitational lensing. A long string will produce a pair of images symmetric about an axis, very different from lensing by a point mass. Such an event has been reported recently





Universe INside a Box




Lens candidates in the Capodimonte Deep Field in vicinity of the CSL1 object by Sazhin M.V.1, Khovanskaya O.S.1, Capaccioli M.2,3, Longo G.3,4,Alcal´a J.M. 2, Silvotti R.2, Pavlov M.V.2
In Paper I we discussed the strange properties of CSL1: a peculiar object discovered in the OACDF which spectroscopic investigations proveed to be the double undistorted image of an elliptical galaxy. Always in Paper I we showed that CSL1 could be interpreted as the first case of lensing by a cosmic string.

In the present work, starting from consideration that a cosmic string is an elongated
structure which produces non local effects we investigated the statistics of lens candidates around the CSL1 position.

Supersymmetry

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
— Nikolai Lobachevsky


John Ellis:
Extensions of the Standard Model often contain more discriminatory parameters, and this is certainly true of supersymmetry, my personal favourite candidate for new physics beyond the Standard Model. One of the possibilities suggested by supersymmetry is that Higgs bosons might distinguish couple differently to matter


Without consideration of that early universe, the quantum interpretation doesn't make sense unless you include it in something whole?



Lubos said,
There are also many other, indirect ways how can we "go" back in time. This is what evolution, cosmology, and other fields of science are all about.



Unsymmetrical-cooling-gravity weaker
Expanding
\ /
\ /
\ /
_\ /___
/ \ / /
/ \ / /
/ \/ / --------300,000 years
/ / Gravity strong
------------- Symmetrical
^
I
seedlike

Q-------------Quark measure is stronger

\ /
\ /
\ /
\ /
Q--Q



Symbolically how do you create a inclusive system, but to look at alien and foreign ways in which this logic might force you to consider the interactivity of a theory of everything? Greater quark distance, greater energy, higher gravitational field generation. The field around this distance, and supersymmetrical realization bring us closer to the source of the energy creation, closer to the source of the universe's beginnings



....to consider such eneregies within the sphere of M, at a quantum level, as well at such cosmological scales."


The Bubble Universe / Andre Linde's Self Creating Universe

These are the theories discussed in class. The bubble universe concept involves creation of universes from the quantum foam of a "parent universe." On very small scales, the foam is frothing due to energy fluctuations. These fluctuations may create tiny bubbles and wormholes. If the energy fluctuation is not very large, a tiny bubble universe may form, experience some expansion like an inflating balloon, and then contract and disappear from existence. However, if the energy fluctuation is greater than a particular critical value, a tiny bubble universe forms from the parent universe, experiences long-term expansion, and allows matter and large-scale galactic structures to form.

The "self-creating" in Andre Linde's self-creating universe theory stems from the concept that each bubble or inflationary universe will sprout other bubble universes, which in turn, sprout more bubble universes. The universe we live in has a set of physical constants that seem tailor-made for the evolution of living things.




It is very difficult sometimes to bring another individuals view in line with the vast resources that could point the mind to consider the whole thing?



If you did not have a encompassing philosophy, and I know this word is dirty to some, but without pointing to a basis for which the universe sprang, then such topological features would never make sense.

So you direct the thinking to what the early universe looked like(?), and it's potential for expression. A lot of things are going on that are not considered geometrically/topologically unfolding, which hide within the basis of expression. So you have to use analogies to nudge the mind into possible structural considerations, with evidence of graviton production?

Notes on Hyperspace Saul-Paul Sirag
The rule is that for n hidden dimensions the gravitational force falls off with the inverse (n + 2 ) power of the distance R. This implies that as we look at smaller and smaller distances (by banging protons together in particle accelerators) the force of gravity should look stronger and stronger. How much stronger depends on the number of hidden dimensions (and how big they are). There may be enough hidden dimensions to unify the all the forces (including gravity) at an energy level of around 1 TeV (1012 eV), corresponding to around 10-19 meters. This would be a solution to the hierarchy problem of the vast difference in energy scale between the three standard gauge forces and gravity. This is already partly solved by supersymmetry (as mentioned previously); but this new idea would be a more definitive solution--if it were the right solution!

Wednesday, March 09, 2005

Testing Theoretical Ideas of Extra Dimensions

"Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality." from Flatland, by E. A. Abbott

Leaking Gravity May Explain Cosmic Puzzle
Gravity leakage should create minor deviations in the motion of planets and moons. Astronauts on the Apollo 11 mission installed mirrors on the lunar surface. By shooting lasers at the mirrors, a reflected beam can be monitored from Earth to measure tiny orbital fluctuations. Dvali said deviations in the Moon's path around Earth might reveal whether gravity is really leaking away.


You know for me, it's not enough just to swipe away ideas that have been expounded in a theoretical approach. Are we doing a disservice to the scientific process not to explore these potentials along the roads of theoretical ideas born and discharged to discussion?

Moonscience - Quakes, Shakes and Laser Beams


The second chief experiment in the Apollo 11 science package was the Laser Ranging Retro-Reflector, or LRRR. Roughly one foot square, the LRRR was a configuration of specialized mirrors that possessed the property of always reflecting light in the same direction as its source. The reflector was set up about 16 feet (5 meters) from the solar-powered seismic recorder. Resting on the lunar surface it resembled an oversize hotplate with a shiny top. It would be used to reflect laser beams sent from Earth in order to make very precise measurements of Earth-Moon distances. Although the moon is on average about 238,000 miles (385,000 kilometers) away from Earth, using this method, scientists can measure the Earth-moon distance to an accuracy of about 1 1/4 inches (3 centimeters).



I have listen to the Skeptic approach to resistance of something that has not been proven to exist, yet I had found things existing within our culture that said, yes it has not been proven, yet there is a track record of what GR has accomplished.

So should we let the resistance of fear insight distrust of the media, and have good science minds disrupt by instigating false reports like the one did by Alan Sokal in regards to quantum gravity? Nice way to treat those who move up to face the challenge of a theoretcial world that expects the same validation as any process?

I don't argue this, but I wonder then if we are given gravitational wave production such a vast monetary reward for such developements from what Einstein produced, then what justification was awarded such experimental processes, to say ,that the ideas of some I have been expounded in terms of those extra dimensions.

I thank Lubos Motl for speaking to the deconstruction process and what is being implied in particle reductionsism. What it has lead us too. He is advocating good technical structure for comprehension of thos esame dimensions and points out the theoretical spaces that this mathematics is involved in.



Q<->Q measure a reveals a much more dynamical world theoretcially that needs to be entertained.


Eric Adelberger and Blayne Heckel of the University of Washington in Seattle are no strangers to difficult gravity experiments. In the 1980s, they led one of a number of groups that investigated the existence of a postulated fifth force, which would show up as a gravitational anomaly over distances of up to 100 metres. Their findings helped to kill the idea.



Would you lesson the impact of Gaussian coordinates to any substantial view, because it makes use of those same theoretical spaces?

Dimopoulos has been strongly driven in his research by a desire to understand what lies beyond the standard model. His contributions have included work on grand unified theories of baryogenesis, which would provide an explanation of the origin of matter. Jointly with Stanford colleague Nima Arkani-Hamed and Gia Dvali of ICTP, Trieste, Italy, he has proposed an audacious solution to the problem of explaining the weakness of the gravitational force. The proposal invokes new large dimensions accessible to the graviton


The Eöt-Wash Group: Laboratory Tests of Gravitational Physics

Monday, March 07, 2005

Stretching the Brain

Pettit shakes a remarkably sturdy film of water onboard the ISS. See the full-length movie: Reel 1, Reel 2.
"Observations of nature, no matter how seemingly arcane, are like peeling off one more layer from the great onion of knowledge, tickling your imagination with what you have found but always revealing yet another tantalizing layer underneath," says Pettit.
"I hope we never get to the core." See:Saturday Morning Science

What strikes me as strange is how we could have percieved the language of branes, with somekind of toy model even though we can't see them. For me as a sideliner, who views the world of these theoreticists, I had to try and make sense of this language they are talking about.

So I looked for some comparisons and geometrodynamics came into view, but I mean this couldn't have even been fathomable if we say it is hidden ,what the heck does this mean? The dimensional relevance had to be spoken and our visulizations moved beyond the euclidean points to a non euclidean world of metrics realization between these quark to quark measures.

So in the spirit of Feynmen, how about we use these new features to help us orientate the views of the world that is hidden and help many understand the world contained in the vacuum, that many could never have comprehended?

Lubos likes Moose horns as a analogy for Feynman path integrals?:)

Here I would look at Dvali's analogies to move the consideration forward place within context of this post.

It is part and parcel of the view I am developing, in relation to the geometrical/topological understanding that comes out of the view of how this universe came to be. I know this would quickly align some persepctives in that geometrical consideration. But having viewed Daniel Kabats response how would we describe non conformal geometries that arrive in the spaces Daniel speaks about?

So any way, here is the new toy model that one should work with, and correspond developing language in relation too GR's developing views along side of the small world we all are trying to capture.

LQG is successful here in the intersecting bubble technology(simpleces and monte carlo models in representing quantum gravity?), in regards to it's nodes, but how would string theory survive. You had to know that underlying this language is some kind of consistency. String theory represented in the graviton, points to the question for the quantum geometry/topology that will explain this unseen world that has been theorized.

Quivering, in quark to quark measures are a interesting way in which to see the world theory spaces and not the points. The configurations space would have to explain the geometry in a way the Gaussian coordinates would help us view a dynamical world?