Showing posts with label Symmetry Breaking. Show all posts
Showing posts with label Symmetry Breaking. Show all posts

Friday, May 22, 2015

Pure States

The direct realist view [11] is incredible because it suggests that we can have experience of objects out in the world directly, beyond the sensory surface, as if bypassing the chain of sensory processing. The pattern of electrochemical activity that corresponds to our conscious experience can take a form that reflects the properties of external objects, but our consciousness is necessarily confined to the experience of those internal effigies of external objects, rather than of external objects themselves. Unless the principle of direct perception can be demonstrated in a simple artificial sensory system, this explanation remains as mysterious as the property of consciousness it is supposed to explain.[1] But the indirect realist view is also incredible, for it suggests that the world that we perceive is merely a pattern of energy in the physical brain inside our head. This could only mean that the head we have come to know as our own is not our true physical head, but merely a miniature copy of it inside a copy of the world contained within our true physical skull. outside.The external world and its phenomenal replica cannot be spatially superimposed, for one is inside your physical head, and the other is The existential vertigo occasioned by this concept of perception is so disorienting that only a handful of researchers have seriously entertained this notion or pursued its implications to its logical conclusion. (Kant 1781/1991, Koffka 1935, Köhler 1971 p. 125, Russell 1927 pp 137–143, Smythies 1989, 1994, current, Harrison 1989, Hoffman 1998, Lehar current, Hameroff current)"[1]
Direct and indirect realism

What is the value of an awareness of "a construct" that we would assign as a background a formulation of the perceived by the perceiver? An archetype, created? A top down recognition in the square of opposition's use of the transcendent which could reveal an understanding of the essence of universals in face of "statistical prediction" in today's world? Symmetry.

A digital manifestation perhaps then that is clearly marked as to a recognition of a type of realism, or is it just noise(coherence as a contradiction). I might say that the realism here suggests to me a underlying recognition of the ability to perceive, to recognize facets of it own creation as to suggest, that it is quite capable of its ability to perceive beyond the confines of the construct given as a reality.

 The connection between superfluidity and symmetry breaking has had a glorious history. It has left us a rich legacy of fertile ideas, that seems far from exhaustion. PG 60 Superfluidity and Symmetry Breaking
***

Yes there were thoughts about the nature of the gap and you had asked to me to define this. I had trouble doing so even though the nature of the reduction was a gap with which information to me was accessible.
"Penrose Physics, Microtubules & Consciousness
psyche-d / March 15, 1995 According to the arguments for OR put forth in Penrose (1994), superposed states each have their own space-time geometries (see Shadows of the Mind, p. 338). When the degree of coherent mass-energy difference leads to sufficient separation of space-time geometry, the system must choose and decay (reduce, collapse) to a single universe state [avoiding the need for multiple universes as discussed by, for example, Everett (1957) and Wheeler (1957)]. In this way, a transient superposition of slightly differing space-time geometries persists until an abrupt quantum to classical reduction occurs. If as various philosophers claim (cf. Chalmers, 1994; 1996) the nature of conscious experience is somehow embedded in the nature of reality, self-selections in fundamental space-time geometry may address the "hard problem" of consciousness.
Unlike the random, "subjective reduction" (SR, or R) of standard quantum theory caused by observation or environmental entanglement, the OR we propose in microtubules is a self-collapse and it results in particular patterns of microtubule-tubulin conformational ("eigen-") states that regulate neuronal activities including synaptic functions. Possibilities and probabilities for post-reduction tubulin states are influenced by factors including attachments of microtubule-associated proteins (MAPs) acting as "nodes" which tune and "orchestrate" the quantum oscillations. We thus term the particular self-tuning OR process in microtubules "orchestrated objective reduction" ("Orch OR"), and calculate an estimate for the number of tubulins (and neurons) whose coherence for relevant time periods (e.g. 500 milliseconds) will elicit Orch OR. Stuart Hameroff"
The Platonist reality to me was a recognition of a informational reality where all information exists as energy, and that such integration with the physical body was a connection through the synapse as a reductionist ability to form through wave length function.

The point I wanted to make was that it is was as if there are two heads, that if it could be seen, one head moves through a whole wave length function potential as if walking through an ocean of wavelength like reality called information and such reduction of that information had to have a link between the material world in the brain/mind. I am trying to gather my thoughts here. Be clearer.

My thought of a glass of water was analogous here to what can exist in between a space , and have solid matter added to the glass without raising the water, somehow had me envision the gap in the water, as revealing the potential of that matter as filling a space that was not immediately obvious, but exists.

Matter then is not a solid.....but a potential realization of a condensation of that wave function. I am not altogether clear here.....so I am working on this.

 I think it is right to point out universal permeate of that energy as information. Think of the pattern of the quasi-crystal as consolidating wavelength like pattern. A pure state. How much closer are we then to recognize a wavelike pattern(chaldni) as an emergent product pattern of the idea?

I am having some difficulties here in solidifying a position here as to it being completely sound, so I am open to having philosophical interaction to help make this so.

***

 Knowing Penrose's attribute toward a Platonist ideal, the Goldberg idea may have come from how he saw what could be happening within the cosmic background as demonstration cyclical to the universe as always being born in certain locations(CCC). While now showing this theory to be false as defined as circles and located in WMAP, one gets a sense of his thinking of a Platonist.

The answer lies in the fact that the high entropy of the microwave background refers only to the matter content of the universe and not to the gravitation field, as would be encoded in its space-time geometry in accordance with Einstein’s general relativity. What we find, in the early universe, is an extraordinary uniformity, and this can be interpreted as the gravitational degrees of freedom that are potentially available to the universe being not excited at all. As time progresses, the entropy rises as the initially uniform distribution of matter begins to clump, as the gravitational degrees of freedom begin to be taken up. BEFORE THE BIG BANG: ;AN OUTRAGEOUS NEW PERSPECTIVE AND ITS IMPLICATIONS FOR PARTICLE PHYSICS
Sir Roger Penrose was really fond of Escher .How might on see a relationship to Goldberg?
Penrose's Influence on Escher
During the later half of the 1950’s, Maurits Cornelius Escher received a letter from Lionel and Roger Penrose. This letter consisted of a report by the father and son team that focused on impossible figures. By this time, Escher had begun exploring impossible worlds. He had recently produced the lithograph Belvedere based on the “rib-cube,” an impossible cuboid named by Escher (Teuber 161). However, the letter by the Penroses, which would later appear in the British Journal of Psychology, enlightened Escher to two new impossible objects; the Penrose triangle and the Penrose stairs. With these figures, Escher went on to create further impossible worlds that break the laws of three-dimensional space, mystify one’s mind, and give a window to the artist heart.
***

How does one recognize "pure states?" There is a lot of science that is attached to this, and if one has not done their homework they might never understand exactly what this means. To relate self in this picture would somehow seem contradictory, but, as an idea regarding symmetry, one has to be able to speak about this possibility as well too.

While seemingly lost in history as to thinking its all Greek and not worth the time, there is more now to this realization having given some perspective about the Platonist that is current.

Well in today's world we might know what that might mean, not given time to further inspect what is being said. So we might call it this "other thing," a metaphysics. As a Platonist, I see the third realm as informational energy, so getting to that "as a pure state[a Form of the Good]," would in my view reveal something quite intrinsic about how we use that information. How we get to that information.

My question for you, recognizing that we are quite capable of getting to that informational energy, how do you resolve the quote given by Sir Roger Penrose given the Second law of thermodynamics with regards to entropy? You see the contradiction?



 See: Order and Chaos, by Escher (lithograph, 1950)

 You see Sir Roger Penrose had to be able say that such mini big bangs happen all the time.......and they do. Do you know where such pure states are given when considering this idea? Its happening in nature all around us right now. So if you assume this, how do we recognize it? While I hint here at (more then)one demonstration of a pure state, there is another.

***

See Also:


Saturday, May 09, 2015

The Form of the Good


SOCRATES:  Tell me then, by Zeus, what is that excellent [págkalon, "all beautiful"] aim [érgon, "work, deed"] that the gods achieve, using us as their servants?
 
Plato, Euthyphro, 13e, translated by G.M.A. Grube [Hackett Publishing, 1981, p.19; Greek text, Plato -- Euthryphro, Apology, Crito, Phaedo, Phaedrus, Loeb Classical Library, Harvard, 1914-1956, pp.50-52]
In the Republic, Plato sets aside a direct definition of the "good itself" (autò t'agathón). Socrates says that instead we will get something in the nature of the "offspring" (ékgonos) or "interest" (tókos) on the good [Republic, 506 E]. For this "offspring," Plato offers an analogy:  The Good is to the intelligible world, the world of Being and the Forms, as the sun is to the visible world. As light makes vision possible in the material world, and so also opinion about such objects, the Form of the Good "gives their truth to the objects of knowledge and power of knowing to the knower..." [Loeb Classical Library, Plato VI Republic II, translated by Paul Shorey, Harvard University Press, 1935-1970, pp.94-95]. Furthermore, the objects of knowledge derive from the Form of the Good not only the power of being known, but their "very existence and essence" (tò eînaí te kaì hè ousía) [509B], although the Good itself "transcends essence" in "dignity and power" [ibid. pp.106-107]. The word here translated "essence" is ousía, which in Aristotelian terminology is the essence (essentia) of things, i.e. what they are. If Plato has something similar in mind, then the objects of knowledge derive from the good both their existence and their character. See: A Lecture on the Good,  by
Kelley L. Ross, Ph.D.
***


This below was a earlier attempt to define the idea of the Good and Form in context of the painting called Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"


                    Probabilties
                 (The Fifth Dimension)
                         |
                         |
                  Idea of the pipe
                        / \
                       /   \
                      /     \
                 Picture of the pipe
                    /         \
                   /           \
                  /             \
               The real pipe and form  
                                         


The fifth dimension was a attempt by myself to explaining the dimensional shift from the four dimension(space-time) to the fifth. Four leads into three was an ancient idea(Quadrivium ad Trivium) that came to mind that we may seek to explain as humanities attempt at perfecting. But at the same time such a descendent from the heaven into the mind of humanity, as the idea. A effective expression of the idea into form.

So such truths were important to me as to how we discover them. I am saying that this is a capable feature in all of us, and it was an attempt to explain how this is done. Deductive Logic while a representation of Aristotle, Aristotle pointed the way toward Plato. Aristotle pointed the way to Plato's explanation of the Good as it may have meant to Plato and what Aristotle may of disagreed with.

Plato's use of Socrates in the dialogues was specific to Plato's explaining what he meant by heaven. This is not a theological revelation for Christianity in my view as to the principles of Plato, as to what heaven meant. But something quite capable as to what heaven may mean as we grasp the understanding of the Good and inspection as to the Theory of Forms.

Indirectly, Aristotle then introduce the idea then of the universal and the particulars?

***

Distances” Determine Geometry
Describe an object with a table of distances between points.

Describe spacetime with a table of intervals between events

It is not my purpose in this discussion to represent the general theory of relativity as a system that is as simple and as logical as possible, and with the minimum number of axioms; but my main object here is to develop this theory in such a way that the reader will feel that the path we have entered upon is psychologically the natural one, and that the underlying assumptions will seem to have the highest possible degree of security.

—Albert Einstein
http://www.eftaylor.com/pub/chapter2.pdf

***

"Symmetry breaking illustrated": – high energy levels (left) the ball settles in the center, and the result is symmetrical. At lower energy levels (right), the overall "rules" remain symmetrical, but the "Mexican hat" potential comes into effect: "local" symmetry inevitably becomes broken since eventually the ball must roll one way (at random) and not another.

If one recognizes such a state as to imply that Heaven exists in such perfection and beauty, then what causes the asymmetry to be broken? Moving into a dualistic notion of operation, would signify a symmetry breaking?


The term “symmetry” derives from the Greek words sun (meaning ‘with’ or ‘together’) and metron (‘measure’), yielding summetria, and originally indicated a relation of commensurability (such is the meaning codified in Euclid's Elements for example). It quickly acquired a further, more general, meaning: that of a proportion relation, grounded on (integer) numbers, and with the function of harmonizing the different elements into a unitary whole. From the outset, then, symmetry was closely related to harmony, beauty, and unity, and this was to prove decisive for its role in theories of nature. In Plato's Timaeus, for example, the regular polyhedra are afforded a central place in the doctrine of natural elements for the proportions they contain and the beauty of their forms: fire has the form of the regular tetrahedron, earth the form of the cube, air the form of the regular octahedron, water the form of the regular icosahedron, while the regular dodecahedron is used for the form of the entire universe. The history of science provides another paradigmatic example of the use of these figures as basic ingredients in physical description: Kepler's 1596 Mysterium Cosmographicum presents a planetary architecture grounded on the five regular solids.Symmetry and Symmetry Breaking -The Concept of Symmetry
Symmetry Breaking, means to measure.

***

One may need to recognize some aspect of consciousness and its capabilities, and thus, the parameters by which one thinks of how their consciousness operates, can become the limitations that that one applies to all(deluded). This then becomes "an application" to self.

An analogy to this situation might be what is thought to happen to the forces of nature in modern physics, where a single, original, unified force is separated into several forces by "spontaneous symmetry breaking." The form of consciousness as, according to Brentano and Husserl, the intentional relationship of subject and object, itself represents an asymmetry, breaking the symmetry of an existence where there is no distinction between subject and object. Existence as such is thus broken by the form of consciousness, and it becomes the forms of value, good and evil, right and wrong, the beautiful and the ugly, etc., as these vary independently over and against the simple factual existence of objects in the phenomenal world, or even against each other in the phenomenon of moral dilemmas (i.e. doing right results in evils, while doing wrong results in goods). A Lecture on the Good -http://www.friesian.com/good.htm
Bold added for emphasis by me.

The connection between superfluidity and symmetry breaking has had a glorious history. It has left us a rich legacy of fertile ideas, that seems far from exhaustion. PG 60 Superfluidity and Symmetry Breaking
You have to know what your doing when you apply those constraints to yourself. So maybe, there is this bigger picture.


Pierre Curie (1894): “Asymmetry is what creates a phenomenon.”

Before an Equation is Beautiful.....





 So we go after the essence of things in a logical way?

A question then that comes to mind is that if equations can become beautiful what were equations before? If taken in context of Aristotle, Objective deduction of information from induction, reveals the self evident principle?

The link to the following video will reveal this as a question about beauty, and without directing you to the answer, I want to see if you are quite capable of retrieving that answer.

Einstein was married to logic. But Einstein realized something, that helped him see "the before," as a necessary component in order to talk about "the nature of the equation?"

I am contending that when we think of Aristotle as we see science progress in the times, while further consider refinement in the Boolean perspective. But in essence,  one needs to be able to see in the Platonist way before one can move to the understanding of what beauty actually means.

....what was the equation?


Are you currently working towards a unified field theory?

***

So the beauty of the moment had to be clarified in certain terms, so as to be seen and understand that it could be seen.


Now beauty, as we said, shone bright among those visions, and in this world below we apprehend it through the clearest of our senses, clear and resplendent. For sight is the keenest of the physical senses, though wisdom is not seen by it -- how passionate would be our desire for it, if such a clear image of wisdom were granted as would come through sight -- and the same is true of the other beloved objects; but beauty alone has this privilege, to be most clearly seen and most lovely of them all. [Phaedrus, 250D, after R. Hackford, Plato's Phaedrus, Library of the Liberal Arts, 1952, p. 93, and the Loeb Classical Library, Euthryphro Apology Crito Phaedo Phaedrus, Harvard University Press, 1914-1966, p.485, boldface added]
Bold added for emphasis by me.


See Also:

Thursday, May 07, 2015

Observatories Across Spectrum



It is important to understand the basis of examination in terms of measure, requires us in this case to be able to see in a certain spectrum.
Heisenberg originally formulated his ideas in terms of a relationship between the precision of a measurement and the disturbance it must create. Although this latter relationship is not rigorously proven, it is commonly believed (and taught) as an aspect of the broader uncertainty principle. Here, we experimentally observe a violation of Heisenberg’s “measurement-disturbance relationship”, using weak measurements to characterize a quantum system before and after it interacts with a measurement apparatus. http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.100404

Sunday, February 09, 2014

What is Beauty in a Abstract World?

 Pierre Curie (1894): “Asymmetry is what creates a phenomenon.”

This has been of some interest to me as this issue is explained.  I can see where such abstraction when not in some way connected to the real world would to one seem as if it is a dry unimaginative world,  just moving through qualitative functions. It has to mean something more, doesn't it?

Pauli understood that physics necessarily gives an incomplete view of nature, and he was looking for an extended scientific framework. However, the fact that the often colloquial and speculative style of his letters is in striking contrast to his careful and refined publications should advise us to act with caution. His accounts are extremely stimulating, but they should be considered as first groping attempts rather than definitive proposals. See: Pauli’s ideas on mind and matter in the context of contemporary science

Held in context we trust that the philosophical basis is understood as it is being represented in today's world of science. This position with what is self evident must be correlated between theory and physics. So,  I wanted to point to something quite significant for the dry and death forborne mathematician who finds no correlates in the real world. Just goading.

Many prediction-making abilities are low-level and innate. We might say that trees \predict" the arrival of winter and decide to shed their leaves, for example. But in discussing the sense of beauty we are dealing with something that is uniquely human, or nearly See: Whence the Beauty of Mathematics?

It has not past my attention that Beauty is described as not being significant by some of these mathematicians who find no value to it. It means nothing? But for a minute,  think, that if supersymmetry is not established,  then does this in some way reduce the effectiveness of math to explain the symmetrical nature of reality? Should we try to describe these abstract things as being less then beautiful? What use then "any language" that is established,  from that math?

Professor Gates,  what would happen with the beauty of the Adinkra?

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Friday, December 13, 2013

Symmetry Breaking and the Crab Nebula

The connection between superfluidity and symmetry breaking has had a glorious history. It has left us a rich legacy of fertile ideas, that seems far from exhaustion. PG 60 Superfluidity and Symmetry Breaking
You know while there have been processes unfolding with regard to supersymmetry, for the life of it,  I am having a hard time ever denying to myself that the result of any beginning had to have some emergent feature that arose from the very nature of the big bang itself.



So to then, one may see some signs in a biological sense,  as to the nature of evolution? So,  that all things can be defined in this way. But the issue then for me is how "information can exist, " so as to say that such a direction for that evolution,  as an emergent product,  must have some location with which such presence makes itself know(far left of the picture above)? Sure,  because of my ignorance, I would be asking how such information could have ever come into being so as to say that this universe is the one with which such expressions came to be, so I accept the universe as it is.

Click on image above and you create a larger view of a microscopic world

So to then,  for such a gap to exist.  I was most certainly thinking about the LHC's use with which such reductionism were being taken.  I was looking for such signatures as to wonder that if such a location is found then(QGP),  so we could say indeed,  the beginning of the universe, and the correlation drawn,  as to the ever reducibility pursuit as some relation to nature?


The Crab Nebula, created by a supernova seen nearly a thousand years ago, is one of the sky's most famous "star wrecks." For decades, most astronomers have regarded it as the steadiest beacon at X-ray energies, but data from orbiting observatories show unexpected variations. Since 2008, it has faded by 7 percent, activity likely tied to the environment around its central neutron star. (Video Credit: NASA's Goddard Space Flight Center)


Cosmologically it had to make sense too. So I  looked at events in the cosmos to help me understand what it is that was created in the moments we align ourselves too,as  in the LHC. While I looked at the picture(jet development and expression) above as to the timing with which such a environment, it is now reduced too, the Crab Nebula in its design. Would you deny the Crab Nebula had a previous showing with which the jets them self began to emerge?

An example then exists for me as to how such contributions that could arise in any nebula could have ever contributed to the way the universe is,  and if all such contributions taken to the same question,  helps to define the universe in ways that were preceded . Where that nature of the information is to reside.

So while we had found our limits with regard to Planck scale,  it is thought to me that such a symmetry had exist,  that all forms of that symmetry expresses itself as a forming dualistic nature,  for a symmetry breaking to exist,  and for such a division to take place from such a perfect place.

Tuesday, October 01, 2013

Abdus Salam Movie – The Dream of Symmetry



The movie presents the extraordinary figure of Abdus Salam of Pakistan, who not only was an outstanding scientist but also a generous humanitarian and a valuable person. His rich and busy life was an endless quest for symmetry, that he pursued in the universe of physical laws and in the world of human beings.See:Abdus Salam Movie – The Dream of Symmetry


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Tuesday, May 14, 2013

A Visual Correlation to Symmetry Breaking

"Symmetry breaking illustrated": – At high energy levels (left) the ball settles in the center, and the result is symmetrical. At lower energy levels (right), the overall "rules" remain symmetrical, but the "Mexican hat" potential comes into effect: "local" symmetry inevitably becomes broken since eventually the ball must roll one way (at random) and not another.

The Standard Model hypothesizes a field which is responsible for this effect, called the Higgs field (symbol: \phi), which has the unusual property of a non-zero amplitude in its ground state; i.e., a non-zero vacuum expectation value. It can have this effect because of its unusual "Mexican hat" shaped potential whose lowest "point" is not at its "centre". Below a certain extremely high energy level the existence of this non-zero vacuum expectation spontaneously breaks electroweak gauge symmetry which in turn gives rise to the Higgs mechanism and triggers the acquisition of mass by those particles interacting with the field. This effect occurs because scalar field components of the Higgs field are "absorbed" by the massive bosons as degrees of freedom, and couple to the fermions via Yukawa coupling, thereby producing the expected mass terms. In effect when symmetry breaks under these conditions, the Goldstone bosons that arise interact with the Higgs field (and with other particles capable of interacting with the Higgs field) instead of becoming new massless particles, the intractable problems of both underlying theories "neutralise" each other, and the residual outcome is that elementary particles acquire a consistent mass based on how strongly they interact with the Higgs field. It is the simplest known process capable of giving mass to the gauge bosons while remaining compatible with gauge theories.[79] Its quantum would be a scalar boson, known as the Higgs boson.[80]

The potential for the Higgs field, plotted as function of \phi^0 and \phi^3. It has a Mexican-hat or champagne-bottle profile at the ground.

Thursday, April 25, 2013

CERN NEWS : LHCb announces new results in matter-antimatter asymmetry


Matter and antimatter are thought to have existed in equal amounts at the beginning of the universe, but today the universe appears to be composed essentially of matter. By studying subtle differences in the behaviour of particle and antiparticles, experiments at the LHC are seeking to cast light on this dominance of matter over antimatter. Now the LHCb experiment has observed a preference for matter over antimatter known as CP-violation in the decay of neutral B0s particles, read more: http://home.web.cern.ch/about/updates...



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Tuesday, November 13, 2012

Supersymmetry

Image: Event display of candidate event for this ultra-rare decay observed in the LHCb experiment
Scientists at the Large Hadron Collider (LHC) at CERN, near Geneva, have spotted one of the rarest particle decays ever seen in nature. The result is very damaging to new theories like the extremely popular Supersymmetry (or SUSY for short).

Current knowledge about the most fundamental matter particles (quarks and leptons, such as an electron) and the forces between them is embedded in the so-called Standard Model. The particle masses are a consequence of their interactions with the Higgs field. Exciting the Higgs field in particle collisions at the LHC recently resulted in the discovery of the Higgs boson.

However, the Standard Model is not the ultimate theory; it does not include gravity nor explain 95% of the Universe, which is in the form of Dark Matter and Dark Energy.  See:
SUPERSYMMETRY SQUEEZED AS  LHC SPOTS ULTRA RARE PARTICLE DECAY

Wednesday, July 04, 2012

Higg's Boson: Analogies Help


John Ellis,theoretical physicist, answers the question "What is the Higgs boson?" in preparation for the press conference following the seminar on LHC 2012 results on the Higgs boson search, due on July 4 2012 at CERN. For more details: http://cern.ch/press/PressReleases/Releases2012/PR16.12E.html

See Also: What is the Higgs boson? John Ellis, theoretical physicist





webcast of seminar with ATLAS and CMS latest results from ICHEP




You know analogies are important in that they can bring a lay person some clarity in helping to understand what s going on in the world of science. As a blogger I have attach myself to some scientists who have been more then willing to share this aspect of them-self with the world. I do not know of a more honorable thing a scientist can do but by taking this time to help the public.

Monday, April 30, 2012

A Superset Universe?

How would you draw a Universe with all theories as being part of,  as a subset?





Pictorial representations can be very useful in presenting information or assisting reasoning. Venn diagram is an example. Venn diagrams are used to represent classes of objects, and they can also assist us in reasoning about the relations between these classes. They are named after the English mathematician John Venn (1834 - 1923), who was a fellow at Cambridge University.


A few may have taken in the link supplied to a lecture given by Thomas Campbell with regard to his MBT book he had written. Now, I was drawn to the idea of a Venn diagram presented in his lecture and the idea of how one might have use this diagram as a question about the universe and it's subsets? How would you draw it?







I give a current posting by Sean Carroll with regards to his opinion on a book written by Lawrence Krauss. So there all these theories about the nature of the universe and some scientists of course have their opinions.

............Or not, of course. We should be good empiricists and be open to the possibility that what we think of as the universe really does exist within some larger context. But then we could presumably re-define that as the universe, and be stuck with the same questions. As long as you admit that there is more than one conceivable way for the universe to be (and I don’t see how one could not), there will always be some end of the line for explanations. I could be wrong about that, but an insistence that “the universe must explain itself” or some such thing seems like a completely unsupportable a priori assumption. (Not that anyone in this particular brouhaha seems to be taking such a stance.) SEE:A Universe from Nothing?







Physicists have proposed several theories to explain why Λ is so small. One of the most popular -- the "anthropic principle" -- states that Λ is randomly set and has very different values in different parts of the universe (figure 1). We happen to live in a rare region, or "bubble", where Λ has the value we observe. This value has allowed stars, planets and therefore life to develop. However, this theory is also unsatisfactory for many scientists because it would be better to be able to calculate Λ from first principles.



See also:

Monday, November 28, 2011

History of Supersymmetry to Today

Special Topic of Supersymmetry

by Science Watch


Since the 1980s, if not earlier, supersymmetry has reigned as the best available candidate for physics beyond the standard model. But experimental searches for supersymmetric particles have so far come up empty, only reconfirming the standard model again and again. This leaves supersymmetry a theory of infinite promise and ever more questionable reality. See Link above.

Also: What's Inside ScienceWatch.com This Month - ScienceWatch.com - Thomson Reuters



 Update-

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Monday, April 04, 2011

It's Lowest Energy State....Matter Formed?

Shape as Memory : A Geometric Theory of Architecture

also

The structure of paintings

 

 
I just wanted to lay out a perspective in relation to how one might describe the engine in relation to the design of the exhaust system as supportive of the whole frame of reference as the engine.

The pipe is a resonant chamber which shapes the exhaust pulse train in a way which uses shock waves to constrain the release of the combustion.Russell Grunloh (boatguy)
I mean it is not wholly certain for me that without perception, once realizing that potential recognizes that like some "source code" we are closer to recognizing the seed of our action, is an expression of the momentum of our being. It is a stepping off of all that we have known, is an innate expression of our being in action.

So as souls, we are immortalized as expressions of,  like a memory that tells a story about our life, our choices and the life we choose to live.

Dr. Mark Haskins
On a wider class of complex manifolds - the so-called Calabi-Yau manifolds - there is also a natural notion of special Lagrangian geometry. Since the late 1980s these Calabi-Yau manifolds have played a prominent role in developments in High Energy Physics and String Theory. In the late 1990s it was realized that calibrated geometries play a fundamental role in the physical theory, and calibrated geometries have become synonymous with "Branes" and "Supersymmetry".

Special Lagrangian geometry in particular was seen to be related to another String Theory inspired phemonenon, "Mirror Symmetry". Strominger, Yau and Zaslow conjectured that mirror symmetry could be explained by studying moduli spaces arising from special Lagrangian geometry.

This conjecture stimulated much work by mathematicians, but a lot still remains to be done. A central problem is to understand what kinds of singularities can form in families of smooth special Lagrangian submanifolds. A starting point for this is to study the simplest models for singular special Lagrangian varieties, namely cones with an isolated singularity. My research in this area ([2], [4], [6]) has focused on understanding such cones especially in dimension three, which also corresponds to the most physically relevant case.

So it is also about string theory in a way for me as well, and my attempts to understand those expressions in the valley.  Poincare's description of a pebble, rolling down from the hilltop.


It follows then that not all comments will not all be accepted, yet,  I felt it important for one to recognize what Poincare was saying and what I am saying.


HENRI POINCARE Mathematics and Science:Last Essays


Since we are assuming at this juncture the point of view of the mathematician, we must give to this concept all the precision that it requires, even if it becomes necessary to use mathematical language. We should then say that the body of laws is equivalent to a system of differential equations which link the speed of variations of the different elements of the universe to the present values of these elements.

Such a system involves, as we know, an infinite number of solutions, But if we take the initial values of all the elements, that is,their values at the instant t =(which would correspond in ordinary language to the "present"), the solution is completely determined, so that we can calculate the values of all the elements at any period
whatever, whether we suppose />0, which corresponds to the "future," or whether we suppose t<0, which corresponds to the "past." What is important to remember is that the manner of inferring the past from the present does not differ from that of inferring the future from the present.

Contrast the pebble as an issuance of,  from symmetry, and the top of mountain(a sharpened pencil standing straight up) and the decay(asymmetry), as an expression of the solidification of who we are in that valley. as a pebble?? After the example, we are but human form with a soul encased. The present, is our future? Our past, our presence?

Mathematics and Science: Last Essays, by Henri Poincare

8 Last Essays

    "But it is exactly because all things tend toward death that life is
    an exception which it is necessary to explain.

    Let rolling pebbles be left subject to chance on the side of a
    mountain, and they will all end by falling into the valley. If we
    find one of them at the foot, it will be a commonplace effect which
    will teach us nothing about the previous history of the pebble;
    we will not be able to know its original position on the mountain.
    But if, by accident, we find a stone near the summit, we can assert
    that it has always been there, since, if it had been on the slope, it
    would have rolled to the very bottom. And we will make this
    assertion with the greater certainty, the more exceptional the event
    is and the greater the chances were that the situation would not
    have occurred."

Of course I do not believe our lives are just an expression of chance,  but choice as "a memory" we choose. Of course too, how do you set up a life as an expression if you do not continue to learn?



In the pool of symmetry, how did we ever begin? I looked for such expressions as if mathematically deduced from a time where we might be closer to the idea of such a pool. Ramanujan comes to mind.

Then too, if we are to become spiritually immersed back again from where we came from,  then how can we individually be explained "as a spark of measure,"  for each soul as a memory to be chosen from all that has existed before, for such an expression in this life as the task of it's future??

Wednesday, November 10, 2010

It's Neither World, not Nether

Netherworld is often used as a synonym for Underworld.

Okay this may seem like a strange title, but believe me when I say how fascinating that such dynamics in meeting "each other: will allow something to "pop" right out of existence.

Underworld is a region in some religions and in mythologies which is thought to be under the surface of the earth.[1] It could be a place where the souls of the recently departed go, and, in some traditions, it is identified with Hell or the realm of death. In other traditions, however, such as animistic traditions, it could be seen as the place where life appears to have originated from (such as plant life, water, etc.) and a place to which life must return at life's end, with no negative undertones.

I mean I am not quite sure how this post must materialize, to conclude "non-existence" until it is clear, that such dynamics  will allow such a thing to happen, that one could say indeed,  they have completed their journey.

Now can I say that this is the process of the universe,  I can't be sure.I know that in the "mediation process" for concluding the experience,  such an experience has to come undone. Again this is such a strange thing in my mind that I had to say that "I was the experience" until such a time, that going along with other things in sameness of dynamics, that it was hard at first to see this dynamics in play as being apart from it.  I could actually only say enough of this experience to concluded  the realization of coming undone. Hmm...

To solidify this until understanding, I relived these things until I saw the last of the tension ebb away to allow  "a tension" to become undone. As if such tension "had to exist" until the very bubble that harbored and allowed all of the world of our expediency no longer supported such a viable option as that bubble.

I know this is not such a cute analogy but to get to the essence of the story then it has to be understood that underneath "this experience"  is a dynamcial revelation of sorts that hides the equation of such an experience?

You should know then that I see this very schematics of the world as having this nature to it that we may describe reality as something closer to the definition of it's very existence and that such a attempt at describing nature was to get to the very end of what begins? Imagine arriving at the juxtaposition of such a point?

How are We to Contained Experience?

In mathematics, the Klein bottle ([klaɪ̯n]) is a non-orientable surface, informally, a surface (a two-dimensional manifold) with no identifiable "inner" and "outer" sides. Other related non-orientable objects include the Möbius strip and the real projective plane. Whereas a Möbius strip is a two-dimensional surface with boundary, a Klein bottle has no boundary. (For comparison, a sphere is an orientable surface with no boundary.)
By adding a fourth dimension to the three dimensional space, the self-intersection can be eliminated. Gently push a piece of the tube containing the intersection out of the original three dimensional space. A useful analogy is to consider a self-intersecting curve on the plane; self-intersections can be eliminated by lifting one strand off the plane.
This immersion is useful for visualizing many properties of the Klein bottle. For example, the Klein bottle has no boundary, where the surface stops abruptly, and it is non-orientable, as reflected in the one-sidedness of the immersion.

The geometry was revealing as I tried to encapsulate this point, so as to see where such a description fell away from all that we can contain of the world. That we can truly say we had indeed let go. To imagine then that one's grip on things became ever tighter, while wishing to let the strength of this while becoming ever stronger to fall away.

"While Gassner was watching television, the natural motion of the Earth must have carried him through a small non-orientable pocket of the universe," said Boris Harkov, a mathematician at the Massachusetts Institute of Technology in Cambridge. "That's the only reasonable explanation."

One way to test the orientation of the universe is to hurl a right-handed glove into the air and see if it falls back to Earth as a left-handed glove--if it does, the universe must be non-orientable. Since Gassner's announcement, physicists have been carrying out such experiments, both outdoors and in Gassner's TV room, but so far all tests have come back negative. Still, many researchers are optimistic. "I'm confident that the glove will flip soon," said Chen Xiang, an experimental physicist at Brookhaven National Laboratory in New York. The Klarreich Occasionally


Ultimate realization that what is negative is a positive toward completion.That is how one might define the whole perspective of validation of no longer being negative?

As if one wold realize that such a tension revealed in the Tao, no longer existed in the picture as a demonstration of the Tao now gone.
Now, such a object seemed part of the experience,  as to the unfolding, yet in my inadequate understanding how could such a thing be taken down to such a point as to say it no longer existed. How can I say say such a geometry was part of that process while I struggle to define such an action as falling away or reducing it to such a point of nothing?

It's enough then that one sees "around that point"  that the ultimate quest envisions such  an "undoing" that we see where the relevance of such a tension can and should no longer exist?

The Experience Most Fitting then ?

As I relayed earlier I experience many things until I understood this undoing, that such reason then to awareness of "what should be" was capsulized in only one example. How shall I say it then that I understood all that befell me to dissolution to show that such a demonstration was complete. I would still be here? That such an equation of resistance could have been imparted not only in the equation, but in the telling of the experience too?

While I show by experience such an example it should be taken that in this example I have changed the name of the person in order to protect our association. Shall I be so forthcoming that only the "object of relation" shall be the only thing identifiable  so as to know that this association is very real to me, and only to me by that person's identification as an experience that is real? Aw....well anyway "more then one" for sure, as to the way in which I use that experience to demonstrate.

It all began, as I noticed a tension in his voice, as he slipped into the realization of something that had happen to him earlier in that day. I was taken to a "good observation point" so that I might admit to seeing what he was seeing.  As hard as I looked at first I could not tell what he was so upset about that I tried ever harder  to see, that slowly I understood then what he was pointing at. Why such a tension could exist in him and his voice, that such a rectification and adjustment was needed in order to make this right.

As I relay this situation it was apparent at the time of such a demonstration, as to a example that this situation popped up,  as such a reason to be demonstrated that to make it right, had to be the undoing of what made it wrong you see. To make the point ever driven home for realization was to demonstrate that such undoing had to rectify the situation of where it began, so of course,  all actions taken to get it fixed. Could it have ever been undone?

Well as if I understood why such an experience came frothing to the surface of awareness I thought to conclude this example by what I saw, that it took me by realization that "in turning" to back up, a hand imprint in oil was left on the back of the seat in order for the person to complete the job. A "new point of tension" by not washing their hands, or not covering  pristine upholstery that was just purchased, was created.

All of this has to be undone in order for one to say that this experience has popped out of existence you see?

That was how such a demonstration was shown to be reasonable in my mind for such an equation to manifest such a description about that experience that I could say that it was reasonable to me that I had understood.

Was it a good example rests on you to be sure.

***
Physically, the effect can be interpreted as an object moving from the "false vacuum" (where = 0) to the more stable "true vacuum" (where = v). Gravitationally, it is similar to the more familiar case of moving from the hilltop to the valley. In the case of Higgs field, the transformation is accompanied with a "phase change", which endows mass to some of the particles

"Quantum Field Theory

Quantum Vacuum:

In classical physics, empty space is called the vacuum. The classical vacuum is utterly featureless. However, in quantum theory, the vacuum is a much more complex entity. The uncertainty principle allows virtual particles (each corresponding to a quantum field) continually materialize out of the vacuum, propagate for a short time and then vanish. " http://universe-review.ca/R15-12-QFT.htm#vacuum

"The idea behind the Coleman-De Luccia instanton, discovered in 1987, is that the matter in the early universe is initially in a state known as a false vacuum. A false vacuum is a classically stable excited state which is quantum mechanically unstable." http://www.damtp.cam.ac.uk/research/gr/public/qg_qc.html

Wednesday, September 15, 2010

Old News Can Still Be New Information

Getting a handle on Symmetries is an always work in progress for me, so as to keep abreast of the science and the theoretic involved.

Why has Physics Today's news coverage of string theory been so sparse?

Given string theory's high ambition to account for all nature's forces and particles, given the number of string theorists working to achieve that ambition, and given the general public's interest in string theory, two stories in seven years might seem low. But is it? (See above link)

So traveling back in time,  one can move forward.


Nambu - Credit: Univeristy of Chicago
Kobayashi - Credit: KEK
Maskawa - Credit: Yukawa Institute, Kyoto University
Nambu
Kobayashi
Maskawa

Spontaneous symmetry breaking

Introduced into particle physics by Nambu in 1960, spontaneous symmetry breaking was to become a pillar of the field’s standard model, which since its completion in the mid-1970s has survived every experimental challenge. When a physical state does not exhibit all the symmetries of the dynamical laws that govern it, the violated symmetries are said to be spontaneously broken.
The idea had been around for a long time in classical mechanics, fluid dynamics, and condensed-matter physics. An oft-cited example is ferromagne­tism. Its underlying laws of atomic physics are absolutely invariant under rotation. Nonetheless, below a critical temperature the atomic spins spontaneously line up in some arbitrary direction to create a state that is not rotationally symmetric. Similarly, the cylindrical symmetry of a state in which a pencil is perfectly poised on its tip is spontaneously broken when the pencil inevitably falls over. But such examples give little hint of the subtlety and power of the notion once Nambu began exploiting it in quantum field theory.
It began with a paper Nambu wrote in 1959 about gauge invariance in superconductivity.1 The paper exhibits his virtuosity in two disparate specialties—quantum field theory and condensed-matter theory. He became conversant with both as a graduate student at the University of Tokyo after he was mustered out of the army in 1945. Eventually he began working with the group around Sin-itiro Tomonaga, one of the creators of modern quantum electrodynamics (QED). Tomonaga was actually based at another university in Tokyo. But the University of Tokyo was strong in condensed-matter physics. So Nambu started out working on the Ising model of ferromagnetism.
After two years at the Institute for Advanced Study in Princeton, Nambu came to the University of Chicago in 1954, just before the untimely death of Enrico Fermi. When John Bardeen, Leon Cooper, and Robert Schrieffer published their theory of superconductivity in 1957, Nambu and others noted that the BCS superconducting ground state lacked the gauge invariance of the underlying electromagnetic theory. In classical electrodynamics, gauge invariance refers to the freedom one has in choosing the vector and scalar potentials. In QED that freedom is linked to the freedom to change the phase of the electron wavefunction arbitrarily from point to point in space. Did the gauge-symmetry violation mean that the BCS theory was simply wrong? Or perhaps superconductivity was a manifestation of some yet unknown force beyond electromagnetism and atomic physics.
Having heard Schrieffer give a talk about the new theory in 1957 without mentioning gauge invariance, Nambu spent the next two years thinking about its role in the theory. He recast the BCS theory into the perturbative quantum-field-theoretic formalism with which Richard Feynman had solved—independently of Tomonaga—the problem of the intractable infinities in QED. From that reformulation, Nambu concluded that the superconducting ground state results from the spontaneous breaking of the underlying gauge symmetry. He showed that all the characteristic manifestations of superconductivity—including the expulsion of magnetic flux and the energy gap that assures lossless current flow—follow simply from that spontaneous symmetry breaking.
See:Physics Nobel Prize to Nambu, Kobayashi, and Maskawa for theories of symmetry breaking by Bertram Schwarzschild Physics Today and references cited in article below.

  1. 1. Y. Nambu, Phys. Rev. 117, 648 (1960) [SPIN].
  2. 2. Y. Nambu, Phys. Rev. Lett. 4, 380 (1960) [SPIN].
  3. 3. Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) [SPIN]; 124, 246 (1961) [SPIN].
  4. 4. P. W. Anderson, Phys. Rev. 130, 439 (1963) [SPIN].
  5. 5. F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964) [SPIN]; P. W. Higgs, Phys. Rev. Lett. 13, 508 (1964) [SPIN]; G. S. Guralelnik, C. R. Hagen, T. W. B. Kibble, Phys. Rev. Lett. 13, 585 (1964) [SPIN].
  6. 6. S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) [SPIN].
  7. 7. M. Kobayashi, T. Maskawa, Prog. Theor. Phys. 49, 652 (1973) .
  8. 8. S. L. Glashow, J. Iliopoulos, L. Maiani, Phys. Rev. D 2, 1285 (1970) [SPIN].

Sunday, July 11, 2010

A Way From Perfection- Symmetry

Noether's Theorem

"For every continuous symmetry of the law of physics, there must exist a conservation law.

For every conservation law, there must exist a continuous symmetry"

Conservation laws and symmetry

The symmetry properties of a physical system are intimately related to the conservation laws characterizing that system. Noether's theorem gives a precise description of this relation. The theorem states that each continuous symmetry of a physical system implies that some physical property of that system is conserved. Conversely, each conserved quantity has a corresponding symmetry. For example, the isometry of space gives rise to conservation of (linear) momentum, and isometry of time gives rise to conservation of energy.
The following table summarizes some fundamental symmetries and the associated conserved quantity.

Class Invariance Conserved quantity
Proper orthochronous
Lorentz symmetry
translation in time
  (homogeneity)
energy

translation in space
  (homogeneity)
linear momentum

rotation in space
  (isotropy)
angular momentum
Discrete symmetry P, coordinate inversion spatial parity

C, charge conjugation charge parity

T, time reversal time parity

CPT product of parities
Internal symmetry (independent of
spacetime coordinates)
U(1) gauge transformation electric charge

U(1) gauge transformation lepton generation number

U(1) gauge transformation hypercharge

U(1)Y gauge transformation weak hypercharge

U(2) [U(1)xSU(2)] electroweak force

SU(2) gauge transformation isospin

SU(2)L gauge transformation weak isospin

PxSU(2) G-parity

SU(3) "winding number" baryon number

SU(3) gauge transformation quark color

SU(3) (approximate) quark flavor

S((U2)xU(3))
[ U(1)xSU(2)xSU(3)]
Standard Model

 

Conservation law

From Wikipedia, the free encyclopedia

In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves.

One particularly important physical result concerning conservation laws is Noether's Theorem, which states that there is a one-to-one correspondence between conservation laws and differentiable symmetries of physical systems. For example, the conservation of energy follows from the time-invariance of physical systems, and the fact that physical systems behave the same regardless of how they are oriented in space gives rise to the conservation of angular momentum.

A partial listing of conservation laws that are said to be exact laws, or more precisely have never been shown to be violated:
There are also approximate conservation laws. These are approximately true in particular situations, such as low speeds, short time scales, or certain interactions.

See also

References

  • Victor J. Stenger, 2000. Timeless Reality: Symmetry, Simplicity, and Multiple Universes. Buffalo NY: Prometheus Books. Chpt. 12 is a gentle introduction to symmetry, invariance, and conservation laws.

External links