The Universe, as an Expression of the Geometry

A new movie from NASA's Chandra X-ray Observatory shows a sequence of Chandra images of the Crab Nebula, taken over an interval of seven months. Dramatic variations are seen, including the expansion of a ring of X-ray emission around the pulsar (white dot near center) and changes in the knots within this ring.

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Mathematically, it has to make sense.To visualize the universe then such scenarios must allow the potential of information to help form perspectives which show dynamical activities toward identifying the shape of the universe. This has to be able to be done in the now, and what of it is becoming in any moment?

I have opened with Dirac's comments before, but I thought at this point I should show Sir Roger Penrose comment  in contrast so you sort of get the idea.

[ROGER PENROSE]
The following is a quote from Dr. Roger Penrose's closing remarks.

"One particular thing that struck me... [LAUGHTER]...is the fact that he found it necessary to translate all the results that he had achieved with such methods into
algebraic notation. It struck me particularly, because remember I am told of Newton, when he wrote up his work, it was always exactly the opposite, in that he obtained so much of his results, so many of his results using analytical techniques and because of the general way in which things at that time had to be explained to people, he found it necessary to translate his results into the language of geometry, so his contemporaries could understand him. Well, I guess geometry… [INAUDIBLE] not quite the same topic as to whether one thinks theoretically or analytically, algebraically perhaps. This rule is perhaps touched upon at the beginning of Professor Dirac's talk, and I think it is a very interesting topic." See: Paul Dirac Talk: Projective Geometry, Origin of Quantum Equations

See Also:

• Dark Matter  
• The Pringles Potato Chip

13.7 Billion Years(Gamma Ray Burst)

A gamma-ray burst detected by NASA's Swift satellite in April 2009 has been newly unveiled as a candidate for the most distant object in the universe. In this video, former Penn State University graduate student Antonino Cucchiara discusses this research at a press conference at the 218th meeting of the American Astronomical Society in Boston, Massachusetts, on 25 May 2011.

 25 May 2011 — A gamma-ray burst detected by NASA's Swift satellite in April 2009 has been newly unveiled as a candidate for the most distant object in the universe. At an estimated distance of 13.14 billion light years, the burst lies far beyond any known quasar and could be more distant than any previously known galaxy or gamma-ray burst. Multiple lines of evidence in favor of a record-breaking distance for this burst, known as GRB 090429B for the 29 April 2009 date when it was discovered, are presented in a paper by an international team of astronomers led by former Penn State University graduate student Antonino Cucchiara, now at the University of California, Berkeley. The paper has been accepted for publication in the Astrophysical Journal. (A PDF of the paper is available here.) See: Cosmic Explosion is New Candidate for Most Distant Object in the Universe

The Elusive Higgs

See: The hunt for the elusive Higgs

Solar Weather

Sunspot 1283 Bristling With Flares: An X1.8 and An M6.7 - UPDATED

09.08.11

 

The Sun as viewed by the Solar Dynamics Observatory (SDO) in 193 angstrom. The verticle black area near the center is the coronal hole. Credit: NASA/SDO

› View larger UPDATE: 09.09.11 - A strong geomagnetic storm is in progress following the impact of a CME around 7:30 EDT on Sept. 9th. This could be the first of several hits from a series of CMEs expected to reach Earth during the weekend, related to the sunspot 1283 flares during the week. High-latitude sky watchers should be alert for auroras after nightfall.

A high-speed solar wind stream flowing from a large coronal hole should reach Earth on Sept. 11-12 sparking even more aurora.

ἁπτικός-Momentum, as a Tactile Experience?

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

See Water in Zero Gravity, by Backreaction

 Is it possible for us to get this "sense of being" without understanding what momentum is? Do we say it just feels right or do we say that something flows according to the way in which we think about time? If you were to say things must be discrete by nature then how would any logic flow from the idea of such particularization?

Can I realistically call such a sphere in space a spherical cow? For a moment consider that such a collapse will be of  acoustical variety type that we can say in the absence of earths constraints we can see how the universe likes to appeal to our nature of particularization by producing particles for which we can examine the substructure of the world we live in, in science?


In the case of discrete measure how is it such a transfer can take place in mind that the experience becomes part and parcel of the greater reality "of moving in abstract spaces?"  Do we say this is reality but one as  such configured and mathematically devised so as to seek correlations in the world that make sense?

 Today, however, we do have the opportunity not only to observe phenomena in four and higher dimensions, but we can also interact with them. The medium for such interaction is computer graphics. Computer graphic devices produce images on two-dimensional screens. Each point on the screen has two real numbers as coordinates, and the computer stores the locations of points and lists of pairs of points which are to be connected by line segments or more complicated curves. In this way a diagram of great complexity can be developed on the screen and saved for later viewing or further manipulationFrom Flatland to Hypergraphics: Interacting with Higher Dimensions

I am trying to formulate a response in regard to the opening question in title. So please be patient with me as things appear in this blog posting.

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Title page of the 1st edition of Isaac Newton's Principia defining the laws of motion.

Mōmentum was not merely the motion, which was mōtus, but was the power residing in a moving object, captured by today's mathematical definitions. A mōtus, "movement", was a stage in any sort of change,^[1] while velocitas, "swiftness", captured only speed. The concept of momentum in classical mechanics was originated by a number of great thinkers and experimentalists. The first of these was Byzantine philosopher John Philoponus, in his commentary to Aristotle´s Physics. As regards the natural motion of bodies falling through a medium, Aristotle's verdict that the speed is proportional to the weight of the moving bodies and indirectly proportional to the density of the medium is disproved by Philoponus through appeal to the same kind of experiment that Galileo was to carry out centuries later.^[2] This idea was refined by the European philosophers Peter Olivi and Jean Buridan. Buridan referred to impetus being proportional to the weight times the speed.^[3][4] Moreover, Buridan's theory was different to his predecessor's in that he did not consider impetus to be self dissipating, asserting that a body would be arrested by the forces of air resistance and gravity which might be opposing its impetus.^[5]

Of course I am always interested in the history of  what Momentum might mean. How this is built conceptually and historically so as to define this by a method by which we may measure some thing realistically.

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The somatosensory system is a diverse sensory system composed of the receptors and processing centres to produce the sensory modalities such as touch, temperature, proprioception (body position), and nociception (pain). The sensory receptors cover the skin and epithelia, skeletal muscles, bones and joints, internal organs, and the cardiovascular system. While touch (also, more formally, tactition; adjectival form: "tactile" or "somatosensory") is considered one of the five traditional senses, the impression of touch is formed from several modalities. In medicine, the colloquial term touch is usually replaced with somatic senses to better reflect the variety of mechanisms involved.

The system reacts to diverse stimuli using different receptors: thermoreceptors, nociceptors, mechanoreceptors and chemoreceptors. Transmission of information from the receptors passes via sensory nerves through tracts in the spinal cord and into the brain. Processing primarily occurs in the primary somatosensory area in the parietal lobe of the cerebral cortex.

The cortical homunculus was devised by Wilder Penfield

At its simplest, the system works when activity in a sensory neuron is triggered by a specific stimulus such as heat; this signal eventually passes to an area in the brain uniquely attributed to that area on the body—this allows the processed stimulus to be felt at the correct location. The point-to-point mapping of the body surfaces in the brain is called a homunculus and is essential in the creation of a body image. This brain-surface ("cortical") map is not immutable, however. Dramatic shifts can occur in response to stroke or injury.

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Brain Stretching

Haptics in virtual reality

Haptics are gaining widespread acceptance as a key part of virtual reality systems, adding the sense of touch to previously visual-only solutions. Most of these solutions use stylus-based haptic rendering, where the user interfaces to the virtual world via a tool or stylus, giving a form of interaction that is computationally realistic on today's hardware. Systems are also being developed to use haptic interfaces for 3D modeling and design that are intended to give artists a virtual experience of real interactive modeling. Researchers from the University of Tokyo have developed 3D holograms that can be "touched" through haptic feedback using "acoustic radiation" to create a pressure sensation on a user's hands. (See Future Section) The researchers, led by Hiroyuki Shinoda, currently have the technology on display at SIGGRAPH 2009 in New Orleans.^[15]

The Synaptic World of Experience and Knowledge

 It is important that people realize that as much as topological seasoning is added to the world by myself,  I see ourselves intrinsically linked to the inductive/deductive process. It is as if the tail of each is linked as a image of a our inner and outer relation with the world continually exchanged. We are the central process in this, as if link the past and the future together, as to the outcome in life. A self eventual recognition of the arche and our place on it as to the decision and acceptance of outcome according to our conclusions?

I think that Fig. 34.1 best expresses my position on this question, where each of three worlds, Platonic-mathematical, physical and mental-has it’s own kind of reality, and where each is (deeply and mysteriously) found in one that precedes it ( the worlds take cyclicly). I like to think that, in a sense the Platonic world may be the most primitive of the three, since mathematics is a kind of necessity, virtually conjuring its very existence through logic alone. Be that as it may, there is a further mystery, or paradox, of the cyclic aspect of these worlds , where each seems to be able to encompass the succeeding one in its entirety, while itself seeming to depend only upon a small part of its predecessor.”(Page 1028-The Road to Reality- Roger Penrose- Borzoi Book, Alfred A. Knoff- 2004)

For me, the visual helps to reinforce some  the understanding that is required of how let's say Sir Roger Penrose may look at the idea of "information transference?" How I may see this in individuals who are interacting with the world. I believe too, that how the universe is formulated into the Cyclical Universe is to direct our attention to the facets of time attached to the ideas of how this is formulated within ourselves as well. This are the same correlations of the past, as well as the future, in our now, in our universe(our neighborhood) as well.

If we can put everything together, we might have a model that reproduces everything we see in our detector."

Plato's problem is the term given by Noam Chomsky to the gap between knowledge and experience. It presents the question of how we account for our knowledge when environmental conditions seem to be an insufficient source of information. It is used in linguistics to refer to the "argument from poverty of the stimulus" (APS). In a more general sense, Plato’s Problem refers to the problem of explaining a "lack of input."

Solving Plato’s Problem involves explaining the gap between what one knows and the apparent lack of substantive input from experience (the environment). Plato's Problem is most clearly illustrated in the Meno dialogue, in which Socrates demonstrates that an uneducated boy nevertheless understands geometric principles.

The understanding here is that all knowledge exists in the universe and that we only have to awaken it within ourselves. This hasn't changed my view on the universal access to information that we can tap into. How is this accomplished.

This view I carry to the world of science and look for correspondences in experimental associations. I believe the answers we are looking for already exist.  It is just a matter of asking the right questions, as well as looking inside as to the truth of what we are looking at,  as a potential in the discourse of our existence as human beings. The role we are playing as components of this reality to better ourselves.

Know Thyself (γνώθι σεαυτόν )

A stained glass window with the contracted version γνωθι σαυτόν.

The saying "Know thyself" may refer by extension to the ideal of understanding human behavior, morals, and thought, because ultimately to understand oneself is to understand other humans as well. However, the ancient Greek philosophers thought that no man can ever comprehend the human spirit and thought thoroughly, so it would have been almost inconceivable to know oneself fully. Therefore, the saying may refer to a less ambitious ideal, such as knowing one's own habits, morals, temperament, ability to control anger, and other aspects of human behavior that we struggle with on a daily basis.

It may also have a mystical interpretation. 'Thyself', is not meant in reference to the egotist, but the ego within self, the I AM consciousness.

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Delphi became the site of a major temple to Phoebus Apollo, as well as the Pythian Games and the famous prehistoric oracle. Even in Roman times, hundreds of votive statues remained, described by Pliny the Younger and seen by Pausanias. Supposedly carved into the temple were three phrases: γνωθι σεαυτόν (gnothi seauton = "know thyself") and μηδέν άγαν (meden agan = "nothing in excess"), and Εγγύα πάρα δ'ατη (eggua para d'atē = "make a pledge and mischief is nigh"),[6] as well as a large letter E.[7] Among other things epsilon signifies the number 5. Plutarch's essay on the meaning of the “E at Delphi" is the only literary source for the inscription. In ancient times, the origin of these phrases was attributed to one or more of the Seven Sages of Greece,[8] though ancient as well as modern scholars have doubted the legitimacy of such ascriptions.[9] According to one pair of scholars, "The actual authorship of the three maxims set up on the Delphian temple may be left uncertain. Most likely they were popular proverbs, which tended later to be attributed to particular sages

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"Let no one destitute of geometry enter my doors." Plato (c. 427 - 347 B.C.E.)

"[Geometry is] . . . persued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes, ...[it] must draw the soul towards truth and give the finishing touch to the philosophic spirit."

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III: The "Geometrical Problem" in the Meno.

Further along in the Meno occurs the celebrated case of the Geometrical Example at Meno 87, which in contrast to the previous mathematical illustration, has been twisted, tortured, and intentionally passed over for two centuries. Jebb said (loc.cit.) asven over a century ago:

The hypothesis appears to be rather trivial and to have no mathematical value. . . (which Raven echoes in 1965)

and here follow some barely intelligible geometrical details".

Bluck however, in 1961 devotes an excursus of some sixteen pages to a complete review of views on the problem, which include an array or barely intelligible geometrical details. The passage is made more difficult of interpretation by the fact that Socrates introduces the geometrical example in a very summary manner, which some have felt was an indication or its relative unimportance.

 I believe on the contrary that the almost schematic reference implies that the topic and the example were well known to the Platonic audience, and did not need explanation. Plato knows how to explain in full, and when he refrains we must understand the matter to be common knowledge. The problem as it occurs at Meno 87 a is briefly this:

We will proceed from here on like the geometer who when asked if a given triangle can be inscribed in a given circle, will say:

'I can't say, but let us proceed hypothetically or experimentally, draw out one leg, swing the other two and see if it falls short or exceeds the rim of the circle.'

In making this paraphrase I have added the word "experimentally" for obvious reasons, and I have taken the noun chorion correctly as area (not rectangle or a triangle, as has been said, which means nothing) in a sense very well attested. So apparently with these conditions, the words themselves are not obscure or really unintelligible, although as yet the meaning has not yet come to the surface.

See: Plato: Mathematician or Mystic ?

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You might think the loss of geometry like the loss of, say, Latin would pass virtually unnoticed. This is the thing about geometry: we no more notice it than we notice the curve of the earth. To most people, geometry is a grade school memory of fumbling with protractors and memorizing the Pythagorean theorem. Yet geometry is everywhere. Coxeter sees it in honeycombs, sunflowers, froth and sponges. It's in the molecules of our food (the spearmint molecule is the exact geometric reaction of the caraway molecule), and in the computer-designed curves of a Mercedes-Benz. Its loss would be immeasurable, especially to the cognoscenti at the Budapest conference, who forfeit the summer sun for the somnolent glow of an overhead projector. They credit Coxeter with rescuing an art form as important as poetry or opera. Without Coxeter's geometry as without Mozart's symphonies or Shakespeare's plays our culture, our understanding of the universe,would be incomplete.

See: γνώθι σεαυτόν

A Holograpical Universe

Plato likened our view of the world to that of an ancient forebear watching shadows meander across a dimly lit cave wall. He imagined our perceptions to be but a faint inkling of a far richer reality that flickers beyond reach. Two millennia later, Plato’s cave may be more than a metaphor. To turn his suggestion on its head, reality—not its mere shadow—may take place on a distant boundary surface, while everything we witness in the three common spatial dimensions is a projection of that faraway unfolding. Reality, that is, may be akin to a hologram. Or, really, a holographic movie.

The journey to this peculiar possibility combines developments deep and far-flung—insights from general relativity; from research on black holes; from thermodynamics, quantum mechanics, and, most recently, string theory. The thread linking these diverse areas is the nature of information in a quantum universe.

Physicists Jacob Bekenstein and Stephen Hawking established that, for a black hole, the information storage capacity is determined not by the volume of its interior but by the area of its surface. But when the math says that a black hole’s store of information is measured by its surface area, does that merely reflect a numerical accounting, or does it mean that the black hole’s surface is where the information is actually stored? It’s a deep issue and has been pursued for decades by some of the most renowned physicists. The answer depends on whether you view the black hole from the outside or from the inside—and from the outside, there’s good reason to believe that information is indeed stored at the event horizon. This doesn’t merely highlight a peculiar feature of black holes. Black holes don’t just tell us about how black holes store information. 
Black holes inform us about information storage 
in any context. See:Our Universe May Be a Giant Hologram

See Also: Physics and Philosophie Pay attention too, #8. (And Stefan submits: What is the ontological status of AdS/CFT?)[also pay attention to comments relating to #8]

It's an older article but definitely worth the read in context of spintronics technology.

At I.B.M.’s research lab in San Jose, Calif., Stuart S. P. Parkin is working on a device that could increase chip data storage by 10 to 100 times.

Redefining the Architecture of Memory

 

By JOHN MARKOFF

Published: September 11, 2007

Setting Time Aright

Time has no independent existence apart from the order of events by which we measure it. — Albert Einstein

While Event has since past, I hope the lecture itself will remain in public domain. It helps so as to see the context of the discussion provided by this conference with regard to that subject of time.




Video streaming by Ustream

See:Setting Time Aright

In 1952, in his book Relativity, Einstein writes:

Since there exists in this four dimensional structure [space-time] no longer any sections which represent "now" objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated. It appears therefore more natural to think of physical reality as a four dimensional existence, instead of, as hitherto, the evolution of a three dimensional existence

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Setting Time Aright

View more presentations from Sean Carroll

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  If man thinks of the totality as constituted of independent fragments, then that is how his mind will tend to operate, but if he can include everything coherently and harmoniously in an overall whole that is undivided, unbroken, and without a border then his mind will tend to move in a similar way, and from this will flow an orderly action within the whole. (David Bohm, Wholeness and the Implicate Order, 1980)


Lee Smolin:

I suspect this reflects the expectation many people have that time is not fundamental, but rather emerges only at a semiclassical approximation in quantum cosmology. If you believe this then you believe that the fundamental quantities a quantum cosmology should compute are timeless. This in turn reflects a very old and ultimately religious prejudice that deeper truths are timeless. This has been traced by scholars to the theology of Newton and contemporaries who saw space as “the sensorium” of an eternal and all seeing god. Perhaps the BB paradox is telling us it is time to give up the search for timeless probability distributions, and recognize that since Darwin the deep truths about nature cannot be divorced from time.

The alternative is to disbelieve the arguments that time is emergent-which were never very convincing- and instead formulate quantum cosmology in such a way that time is always real. I would suggest that the Boltzman Brain’s paradox is the reducto ad absurdum of the notion that time is emergent and that rather than play with little fixes to it we should try to take seriously the opposite idea: that time is real.

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Bar of Lead Tungstate Source: A Quantum Diaries Survivor-Calorimeters for High Energy Physics experiments - part 1 April 6, 2008

Calorimeters measure the collective behavior of particles traveling along approximately the same path, and are thus naturally suited for the measurement of jets-Dorigo Tommaso

See: 

• FQXi Conference 2011
  
• The Reference Frame: Ten new things modern physics has learned about time