Venn Logic and TA

I always lke to inject a piece of my young child's perspective, becuase it helps explain things a bit about "the neighborshood." As we move through them. He asked me about the neighborhood that we were moving too, as if, that was the world. That was his question. "Is this the World," Dad? He was about 4 years old at the time. He's gone now, married, and leadng a very productive life.



The purpose of this picture above comes later down the length of this post. We are all not perfect, are we?

As a youth my first reading of this topic was from a book called, I'm Okay Your Okay, by M.D. Thomas A. Harris.

It helped in defining aspects of myself in context of what was happening in my environment, while being introspective. Is this always a good thing that we take stock of what is going on inside ourselves to wonder indeed what is all these parts of ourselves. How do we look at them in context of the way the "I" is being used.

These lessons were also derived from other places, so it becomes culminative in how one might look at society, and from it, a biased view forms no dfferent then one who has been transplanted from historical context of experience, moving from the lands of the Carribean to the UK society, held in context and views of the community in which they had lived, and live now. There were comparative features drawn from expeirence to consider here?

So as you move, you grow in perspective, all the while the pictures of mountains and similarities strike poises in our mind of of wnating recognition. Who was this person at the time of youth, who, like myself saw farms of a early history, to know that today this historical past is all but forgotten in the real world struggle of lives held in context of these farms? The picture today, contains the picture of our youth.

Parent ego state

This is a set of feelings, thinking and behaviour that we have copied from our parents and significant others.

As we grow up we take in ideas, beliefs, feelings and behaviours from our parents and caretakers. If we live in an extended family then there are more people to learn and take in from. When we do this, it is called introjecting and it is just as if we take in the whole of the care giver. For example, we may notice that we are saying things just as our father, mother, grandmother may have done, even though, consciously, we don't want to. We do this as we have lived with this person so long that we automatically reproduce certain things that were said to us, or treat others as we might have been treated.

As we grow up we take in ideas, beliefs, feelings and behaviours from our parents and caretakers. If we live in an extended family then there are more people to learn and take in from. When we do this, it is called introjecting and it is just as if we take in the whole of the care giver. For example, we may notice that we are saying things just as our father, mother, grandmother may have done, even though, consciously, we don't want to. We do this as we have lived with this person so long that we automatically reproduce certain things that were said to us, or treat others as we might have been treated.

Adult ego state

The Adult ego state is about direct responses to the here and now. We deal with things that are going on today in ways that are not unhealthily influenced by our past.

The Adult ego state is about being spontaneous and aware with the capacity for intimacy. When in our Adult we are able to see people as they are, rather than what we project onto them. We ask for information rather than stay scared and rather than make assumptions. Taking the best from the past and using it appropriately in the present is an integration of the positive aspects of both our Parent and Child ego states. So this can be called the Integrating Adult. Integrating means that we are constantly updating ourselves through our every day experiences and using this to inform us.

In this structural model, the Integrating Adult ego state circle is placed in the middle to show how it needs to orchestrate between the Parent and the Child ego states. For example, the internal Parent ego state may beat up on the internal Child, saying "You are no good, look at what you did wrong again, you are useless". The Child may then respond with "I am no good, look how useless I am, I never get anything right". Many people hardly hear this kind of internal dialogue as it goes on so much they might just believe life is this way. An effective Integrating Adult ego state can intervene between the Parent and Child ego states. This might be done by stating that this kind of parenting is not helpful and asking if it is prepared to learn another way. Alternatively, the Integrating Adult ego state can just stop any negative dialogue and decide to develop another positive Parent ego state perhaps taken in from other people they have met over the years.

Child ego state

The Child ego state is a set of behaviours, thoughts and feelings which are replayed from our own childhood.

Perhaps the boss calls us into his or her office, we may immediately get a churning in our stomach and wonder what we have done wrong. If this were explored we might remember the time the head teacher called us in to tell us off. Of course, not everything in the Child ego state is negative. We might go into someone's house and smell a lovely smell and remember our grandmother's house when we were little, and all the same warm feelings we had at six year's of age may come flooding back.

Both the Parent and Child ego states are constantly being updated. For example, we may meet someone who gives us the permission we needed as a child, and did not get, to be fun and joyous. We may well use that person in our imagination when we are stressed to counteract our old ways of thinking that we must work longer and longer hours to keep up with everything. We might ask ourselves "I wonder what X would say now". Then on hearing the new permissions to relax and take some time out, do just that and then return to the work renewed and ready for the challenge. Subsequently, rather than beating up on ourselves for what we did or did not do, what tends to happen is we automatically start to give ourselves new permissions and take care of ourselves.

Alternatively, we might have had a traumatic experience yesterday which goes into the Child ego state as an archaic memory that hampers our growth. Positive experiences will also go into the Child ego state as archaic memories. The positive experiences can then be drawn on to remind us that positive things do happen.

The process of analysing personality in terms of ego states is called structural analysis. It is important to remember that ego states do not have an existence of their own, they are concepts to enable understanding. Therefore it is important to say "I want some fun" rather than "My Child wants some fun". We may be in our Child ego state when we say this, but saying "I" reminds us to take responsibility for our actions.

Go ahead and Click on John Venn's picture

A painting of John Venn by Charles E. Brock. Photograph by Christopher Hurst, Hamilton-Kerr Institute, University of Cambridge

IN a strange world where such things are to become part of our analysis of subjective experience will we have created the perfect human being? Such models becme the logic structure of new computerized systems of thinking that will somehow recognize these factors in the human beings that we are, to have it done better in a traditional methods of logic, formed around and in computerized thinking.

Science and TA by Chris Boyd

Do we selectively ignore other models from artificial intelligence such as Zadeh's Fuzzy Logic? This is a logic used to model perception and used in newly designed "smart" cameras. Where standard logic must give a true or false value to every proposition, fuzzy logic assigns a certainty value between zero and one to each of the propositions, so that we say a statement is .7 true and .3 false. Is this theory selectively ignored to support our theories?

I had engaged this kind of exercise on my own, as I moved through different research avenues trying to piece together in my own mind, a process held in context of these neighborhoods, and such. How such interactive phases might have been thought about in science procedures. Looking at the basis of this logic, I was looking to find comparsions for this thinking in which the foundational perspectives might make sense.

Science and TA by Chris Boyd

If deduction is another way of knowing in TA, where and when is it applicable? Berne did use Venn diagrams, circles either distinct or overlapping, which were borrowed directly from symbolic logic to visually describe transactions. Perhaps TA in part can be considered a theory that analyzes ones own deductions based on childhood primitive assumptions. Perhaps it focuses on how people become irrational in decision making. In this case, TA provides critical thinking skills for human relations and can be considered a basis for analyzing the accuracy of our reality testing. Much as mathematics provides the language for science, TA may provide the logic for human relations and can be at least in part a deductive language.

Now as usual I did not have many to direct my thinking as I was developing thought processes, that the statements I highlighted were recognized as features I myself found along the journey to make sense of characteristic features we have of our thinking minds.

As you see clicking on John Venn's picture I would like to draw science into how I am seeing to support this "model of thinking." For clear and consise methods incorporating that clear mind.

Do we have to be robots with parts of ourselves missing from the supposed framework of that perfect being? This is what makes us unique in our perspectives as we move forward and share our point of views. We would have had to have been you to become who you are today. So it is never easy to see and be all that you want everyone to be.

Review of Ethics for a New Millenium Status

Jack Shoemaker

Like any good teacher, he understands that ethical matters are individual matters, that an ethical society is only the sum of its ethical citizens.

The Washington Post
September 12, 1999

ETHICS FOR THE NEW MILLENNIUM
By the Dalai Lama

Riverhead. 320 pp. $24.95

Reviewed by Jack Shoemaker
Now we've arrived at the end of the century, where crime, moral chaos, and politics driven by the often hollow sophistications of sociology and psychology all alert us to the breakdown of too many previous assumptions, particularly the coming apart of what might be called our ethical agreements with one another. Late capitalism, in apparent triumph, seems to encourage self-interest over any lingering sense of a commonwealth.

A New Way of Seeing?

Sorry couldn't resist. How many before us in our speculations and way of seeing? :)

When looking at Gaussian coordinates, the very idea that our views of "length of lines" had to have another way in which to interpret how we would see such divergences in the UV considerations. Now I might use UV differently then most, but it is always in context of gaussian coordinates that I always do this.

If I had created a triangle in much the same context(empheral qualties) we might have seen in 2D idealizations then, in how would you transfer such thinkng to three dimensional view held in context of the spiral, and the ever widening primes? These views would have to be locked in Gaussian interpretations, whether they came from Riemann or not. But such trancendance to 5d worlds had to have interpetation that would make you see this in other ways?

Saccherri introdces us to the 5th postulate and we move accordingly into the views of Riemann and others, in ways that are different.

Observations on the Regularity of Prime Number Distribution Peter Marteinson

Stanislaw Ulam’s (1964: 516) most general observation on his famous spiral, that a “property of the visual brain” allows patterns relating to the characteristics of primes to be discovered, may indeed stimulate the mathematical imagination, and inspire further creative attempts at visual pattern recognition in this area, but his spiral (fig.1), like its derivatives, has yet to be successfully interpreted in terms of possible arithmetic principles that can explain the genesis of the known distribution of prime numbers. Of his spiral he says only that it “appears to exhibit a strongly nonrandom appearance” (Stein et al. 1964). A corollary of this somewhat disappointing observation is that Euler’s pessimistic prognosis has yet to be disproved: “Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the mind will never penetrate” (cited by Ivars Peterson in Science News, 5/4/2002).

While it is never easy to take it all in it seems certain phrases and sentence structure stand out as important. While they may seem familiar I refrain from specify what this is, while I continue the search.

Topological Primes

The combinatorial concept of cartesian product allows decomposition of topological structure. Thus, a cylinder is the cartesian product of the circle and the line segment.

This provides for what might be called "topological primes" -- comparable to prime numbers in arithmetic wich form composite numbers. Thus, every mathematical structure may be considered as formed of the basic components:

vertex;
edge;
face;
hole;
cross-cap.

See Also:

Riemann's Hypothesis: A Pure Love of Math

The Mathematical Problems of David Hilbert

What are some of the characteristics of superfluids, and if one looked to the collider for results in RHIC, what information is leaked through the wall? How does the superfluid coat the wall? Where is that extra energy going?

SUPERFLUID 3He WEAK LINK PHYSICS

Although Josephson's first theoretical results for weak links were verified in superconductors shortly after his discovery, they have lain dormant waiting for verification by another type of phase coherent system. There were two candidates that could most likely fulfill this prophecy, superfluid 3He and 4He. Superfluids are phase coherent systems that can be described by a "macroscopic" quantum wave function (fulfilling the first requirement of the theory). However, is it possible to create a weak link separating the superfluid? And secondly, how does one measure such small mass currents through the weak link?

In order to weakly couple two volumes of superfluid it is necessary to separate them by a strong thin wall containing a small hole. In addition, the dimensions of the thin wall and the hole must be on the order of the healing length for the superfluid. The superfluid healing length is the length over which the order parameter or wave function can vary while still minimizing the free energy (similar to the coherence length for superconductors).

Can all Quantum probabilites pass a "open doorway" somehow? If one held to thinking about some level of these quantum probabilities as having a place in which to reside, then one might ask, what pattern would establish itself, in the entropic gathering from superfluid states?

Hilbert's address of 1900 to the International Congress of Mathematicians in Paris is perhaps the most influential speech ever given to mathematicians, given by a mathematician, or given about mathematics. In it, Hilbert outlined 23 major mathematical problems to be studied in the coming century. Some are broad, such as the axiomatization of physics (problem 6) and might never be considered completed. Others, such as problem 3, were much more specific and solved quickly. Some were resolved contrary to Hilbert's expectations, as the continuum hypothesis (problem 1).

So the question might also be asked about the algorithm that would allow all probabilities to have implemented their "pattern organization recognition" that would be unique to every fawcett of our human experience, and where might these probabilities exist?

I have always wondered how perception could have been changed, if our world was colored in some way, as to the emotive and intellectual challenges? Held to mass configurations, as a comparative view of what the body is thinking. Of what many people were thinking. But this might have been considered as crackpotism. :)

Wormholes?

So "open doorways" and ideas of "tunnelling" are always interesting in terms of how we might look at an area like GR in cosmology? Look for way in which such instances make themself known.

Are they applicable to the very nature of quantum perceptions that such probabilites could have emerged through them? Held to "time travel scenarios" and grabbbed the history of what had already preceded us in past tense, could have been brought again forward for inspection?

Some may blame Josephson for what had not occurred, yet, this quest for understanding is quite strong as to how such processes work, not only, in a computer manufactured processes, but in a human capacity as well. That change from technology to human desire for understanding about our natures would have sent some over the edge, but they are indeed caring individuals who would like to push back the boudaries of our understanding, not just in the physics sense. This again, held to crackpotism is unfortunate.

Maybe we can change our stripes to LQG and reap the rewards of another venue held to QG in the blogosphere, that would make you feel better? The issues are still troubling what ever you call the validation process.

Radius of the Universe

HUBBLE DIAGRAM AND ITS CONSTRAINTS ON COSMOLOGYBradley Schaefer

A Hubble Diagram is presented based on 172 distance measures involving 52 Gamma-Ray Bursts out to redshifts of 6.3. The observed shape of the Hubble Diagram is a measure of the expansion history of the Universe, which will include the effects of the 'Dark Energy' that dominates over matter. Gamma-Ray Bursts can be seen to high redshift, and this uniquely allows for tests as to whether the Dark Energy changes with time. If Einstein's Cosmological Constant is a good representation of cosmology, then the equation of state of the Dark Energy won't change in time over the age of the Universe. The observed Hubble Diagram can be compared with the shape predicted by various models, including the model where the Cosmological Constant is a constant. The result is that the Cosmological Constant is rejected at a moderate confidence level. That is, apparently, Dark Energy changes with time. As with all such results, a consensus final conclusion can only be reached after the result is duplicated by independent experiments. To this end, over the next two years, the satellites Swift and HETE will discover another ~50 bursts that can be placed on the Hubble Diagram and this will serve as an independent test of the claim. The result also highlights the Gamma-Ray Burst Hubble Diagram as a new front-line technique to measure Dark Energy and the high-redshift Universe.

As I relay in the earlier part of the thread containing responses to the Evolving Dark Enery of Sean Carroll's, certain insights that had been gained along the way raise the issue of how such a dark energy would have influenced, how we gain information from the luminousity of standard candles, and how we would gain from that information.

Lubos Motl:

The corresponding equation of state would give "w" (the pressure/energy_density ratio) smaller than "-1" (much like in models of phantom energy) which would violate the dominant energy condition - and potentially allow superluminal signals. This sounds highly suspicious. Gamma ray bursts had to be used for the analysis - and they are sufficiently poorly understood - and independent experimental astrophysical sources at Harvard also recommend you to ignore the news.

Of course we are going to want to know why Lubos.

This set the stage for me in wonder about gravitonic concentrations, and how these woudl have been indicators of the strengths and weakeness, which would influence this information gained. I guess, it is in understanding better how such information could be "skewed" that I am looking at the answers given as a further response by Brad is illucidated upon.

So what is "dark energy" in relation to what gravitonic considerations might have on how we see such expasnion process say to us, the unievrse is indeed expanding.



It is always interesting to me to see how the cosmological values contained in the universe could have ever held to "GR curvature indicators" and that such values if held in regard to Einsteins and Riemann's spherical relations, then how indeed could we have siad that the nature of the universe is

As mentioned earlier, the value of is a measurement for the density of the universe. The definition of is such that,




where is the critical density of the universe. A critical density is associated with an "Einstein de Sitter Universe" for which equals 1. It has the property that the curvature is zero, the universe is spatially flat. Light will travel in a straight line and the angles of a triangle add to 180 degrees (space is Euclidean). The other possibilities are an open universe ( ) in which space will expand forever, and a closed universe ( ) in which gravity will halt the expansion and force the universe to contract, eventually leading to a "big crunch". The consequence could possibly be an oscillating universe, which gives a kind of continuity to the model. Figure 2 illustrates the three cosmological models.


Figure 2: The three cosmological models of the universe: open (), closed ( ) and flat ( )

Part of my exercise is to see the underlying geoemtries that are evolving thriugh time as we keep our universe in perspective. Do we know where this center is? And if so can we see whwere such expansiotry calculations would have given some indication? Are we always looking to the furthest edge so that we can help understand this red shifting that is going on tohelp us determine this value of the open uinverse?



Well within context of all this, the move to a higher lensing implications is most puzzling becuase it will shape the nature and kinds of infomration that is needed in order to make these determinations about unibverse values. Thus being inclined to pass by such galaxies in the forming state, as influencing the viability of the information given to us. So to me "Luminousity" is very important here as to the ejection of infomration that may reach us, and information that will held in context of those galaxy formations. So it is as if we are giving, an image in mind of these holes geoemtrically induced, along side of matter formation from causes that would influence the very nature of the repsonses we get.

Critical density

Sean Carroll:

Last time we talked about dark energy and its equation-of-state parameter, w. This number tells you how quickly the dark energy density changes as the universe expands; if w=-1, the density is strictly constant, if w>-1, the density decreases, and if w<-1, the density actually increases with time. (In equations, if a is the scale factor describing the relative size of the universe as a function of time, then the density goes as a-3(1+w).) For comparison purposes, cosmological "matter" (slowly-moving massive particles) has w=0, and "radiation" (relativistic particles, including photons) has w=1/3

So if we are to look for this center how would we find the valuation of what began?



You would have needed to see a time when critical density would have said to you that the infomration that is being propelled from the center, and here, critical density would have partaken of this value, because gravity would have been very strong? Strong enough that for any infomration to be propelled from that center, to have continued on to this day as a expansitory consideration. So that we may still hold it in considertaion as to exactly what this universe is doing now.

Once you have then held the unierse in a certain way you have to ask these question based on what you understood by implicating Lagrange points in your assesment of how the univere became the way it is. YOur lensing has created these holes for light to travel, and in those spaces, satelittes have found easier ways to have manueverd without expending a lot of energy.

We can still tap the greater reserviors of energy and radiation, to help these vehicles continue their journeys. But it is more then that, that we might have sent this vehicle to collect the stardust to help shape our perspective on what constituted that beginning of the universe, as we sent our probes out for further material in which to judge?

Wolfram's Ring Tone

What makes this a little bit, well more then a bit interesting is the evaluation you might try to assign reality of the unseen. IN Mendeelev's table, I like to think in a different way, and if one held the Riemann hypothesis up for grabs, what said that any elemental consideration would have been derived from some Probabilistic evaluated state, not to have formed into views with which all nature might have embued itself?

Lubos Motl:

If you're interested in the more precise isomorphisms between the cellular automata and the anthropic principle, there is a cute analogy invented by Nima that looks as follows: the negative cosmological constant is mapped to the automata that die out (big crunch) while the large positive cosmological constant is mapped to the trivial (solvable) automata - and the nontrivial automata that don't die out represent the anthropically allowed window for the cosmological constant. :-)

You need a background for this, about how such perceptions could have arisen from the very nature that all things, will continue to vibrate even in a empty space.The quantum harmonic oscillator would have something to say to this, and if held to the very nature of flat spacetime, where would this be stopped?

Wolfram's Theory of Everything


So such expansions to the entropically large valuation of all that is in materiality, had to come from some kind of "soup of thnking" that rests itself from all the myriad forms that could have been emitted? So our thnking is "colored" then from musical interludes analogistically based. But indeed, how did you get there and you have this strict regimentation to follow in the probabilitic valution that the Pascal triangle would have surmounted, when thinking of Wolfram's work.

Plato:

How do such things make there way into reality and these prime numbers as signatures of the atoms and ways in which they would relate themself to this elemental table for viewing, and something then shifts in my perception. I don't know why? :)

How can you not help but think in new ways, once your given perspective about the ways we have always done things. A Serpinski fractoriallization about the nature of the world in a myriad of ways, and the probabilistic valuation about events in the unseen. How could they ever be captured?

Strangelets in Cosmic Considerations

In accretion disks how would this counter intuitive recognition of the Jet have been incorporated into what could have been ejected as anti-matter creation? Doing the Bose Nova maybe?

Killer plasma ready to devour the Earth Reports by Robert Uhlig David Derbyshire and Roger Highfield
(Filed: 07/09/2001)

By colliding gold nuclei at huge energies, the RHIC is investigating "quark-gluon plasma", a state of matter in which the fundamental sub-nuclear particles, called quarks and gluons, become unstuck and swill around in a kind of particle soup that should have been around shortly after the Big Bang.

Dr Allanach warned that if experiments with the RHIC go wrong, it could produce a new hypothetical kind of particle called the killer strangelet.

In a catastrophic chain reaction, the killer strangelet would gobble up nuclei until it had eaten a million billion, when its weight would pull it towards the centre of the earth.

This isssue is important to me for a number of reasons. One of which is the Risk assesment, and how something could be gobbled up. These were ole concerns that began to appear around 2001, in the understanding of blackhole creation in the colliders.

Since then what has come about is the recognition of this new superfluid states that would help propel thinking as a measure of what could have began from a particle state collision that we have gone to enormous energies in which to concieve, as to what took place at the beginning of this universe.

By grasping the understanding of strangelets and the relationship gained in understanding what effects can be creaetd by producing collisions, the resulting product created in the form of Quark Gluon plasma as a superfluid, how would such creation see the use of this as a possibility recognizing "counter intuitive" thinking in the apprehension of what flat spacetime as a measure would have signalled there?

Earth punctured by tiny cosmic missilesBy Robert Matthews, Science Correspondent
(Filed: 12/05/2002)

According to the scientists, both events are consistent with an impact with strangelets at cosmic speeds. In a report about to be submitted to the Seismological Society of America, the team of geologists and physicists concludes: "The only explanation for such events of which we are aware is passage through the earth of ton-sized strange-quark nuggets."

Professor Eugene Herrin, a member of the team, said that two strangelets just one-tenth the breadth of a hair would account for the observations. "These things are extremely dense and travel at 40 times the speed of sound straight through the Earth - they'd hardly slow down as they went through."

Strangelets then come to mind as a possible scenario worth considering in a geometrical sense, as to what the beginning is, out of the length that we would go to track back from those same collisions processes. Our mappers would have to be very busy and detailed in their discriptions to help us see how such cosmic strangelets could have been recorded in current data.

In general, AMS is trying to study the sources of cosmic rays. These sources include ordinary things like stars and supernovae, as well as (perhaps!) exotica like quark stars, dark-matter annihilations, and galaxies made entirely of antimatter. Each astrophysical source emits a particular type of cosmic rays; the rays migrate through space in all directions; we detect the ones that pass near Earth. With careful theoretical modeling, we figure out how astrophysical objects leave their "fingerprints" in cosmic rays, and we figure out how to measure that fingerprint (or the absence of it!). Sometimes the fingerprint is the presence of a whole new type of particle (like an anti-helium or strangelet); sometimes, the fingerprint is an unusual feature in an energy spectrum (like a dark matter or microquasar signal). Click on the links above (or in the navigation bar to the left) to learn more about AMS's physics goals!

So we were given some perspective on this issue, from then and now, some review as to what takes place in these accretion disks, suddenly hold geometrical insight as to what unfolds in a complete process.

Jet production, from what the superfluid can do in it's characteristic natures, to have seen how this feature operates independant of the buckets rotations.

See earlier references. Counter intuitive realizations manifested in the properties of these superfluids.

Riemann Hypothesis: A Pure Love of Math

Mathematics Problem That Remains Elusive — And BeautifulBy Raymond Petersen

Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state

Prime numbers are more than any assigned multitude of prime numbers.

Euclid Book IX Proposition 20

Mathematical ProblemsLecture delivered before the International Congress of Mathematicians at Paris in 1900 By Professor David Hilbert

8. Problems of prime numbers

Essential progress in the theory of the distribution of prime numbers has lately been made by Hadamard, de la Vallée-Poussin, Von Mangoldt and others. For the complete solution, however, of the problems set us by Riemann's paper "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse," it still remains to prove the correctness of an exceedingly important statement of Riemann, viz., that the zero points of the function (s) defined by the series

Clay Mathematics Institute

The Riemann hypothesis asserts that all interesting solutions of the equation

ζ(s) = 0

lie on a certain vertical straight line. This has been checked for the first 1,500,000,000 solutions. A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers.

Over at Cosmic Variance, Clifford posted something in regards to this Hypothesis that I had been piece mealing over time trying to understand the implication of what is being offered here.

Prime Finding: Mathematicians mind the gapErica Klarreich

Goldston and Yildirim's novel idea was to examine the distribution not just of pairs of primes, but also of triples, quadruples, and larger groupings. Studying this wider question simplified the formulas estimating the spacing of primes, and to the team's surprise, the new result about smaller-than-average prime gaps fell out.

I learnt a lot by looking at the relationship of Gauss as the teacher of Riemann, and in this, itself is telling to a degree about the nature of how we move our thinking and our perception in a different way that we are not accustomed.

Primed to go

The algorithm at the centre of his method first checks whether the number in question is a perfect square, cube, or other power of a smaller number. If so, it is clearly not prime. If not, a sequence of tests using a type of mathematics called modular arithmetic is carried out. If certain conditions are satisfied, the number is definitely not prime. If they are not, then it is. Crucially, the time it takes to run the algorithm increases only slowly as the size of the number rises.

These tendencies are recognized in our consideration that were progressive, and Grossman's helping Einstein to think about the geometry taking place as you move to the consideration and the nature of GR and the curvatures that gravity implies.

On the Number of Prime Numbers less than a Given Quantity.Monatsberichte der Berliner Akademie, November 1859. by Bernhard Riemann

I believe that I can best convey my thanks for the honour which the Academy has to some degree conferred on me, through my admission as one of its correspondents, if I speedily make use of the permission thereby received
to communicate an investigation into the accumulation of the prime numbers; a topic which perhaps seems not wholly unworthy of such a communication, given the interest which Gauss and Dirichlet have themselves shown in it over a lengthy period.

Ulam's Spiral

Gauss saw this bright thinking, as a student gave his talk while he sat as a pround parent. What was he so proud of? I believe it is in the way that our vision had been changed from the confines of the natural world. Taking what we saw in all that it is.


Gaussian Primes

IMagine Einsteins youth and the meme's of compass instigated, that became modified in the request of science, as it progress's and propels the student along with the anomalies that one's perceptions had encountered.

Dynkin diagrams that if alloted to the way in which Baez talks about this, then how would such curvatures UV Gaussian coordinates or topologies, ever have been mapped from the 2d diagram to be viewed from these points drawn to a torus. Distances that would look so much different in how Gaussian coordinates are observed in relation to how these primes are aligned?

The Riemann Hypothesis in Song

Prime Obsession has an appendix containing the lyrics of Tom Apostol's song about the Riemann Hypothesis, with a full explanation of the lyrics. (Tom is Professor Emeritus of Mathematics at Caltech.)

Now the piece mealing makes it hard for someone to see anything of significance if one only seen the minute part of the process, and in context of what math would mean to the underlying basis of reality. Pure thought, and pure math, which would not refute the way in which we dress up reality and hide this pure thought under the forms that we do.


Andrey Kravstov
If you held the view of supersymmetry at the beginning of Andrey's image, then how would you discern the lengths of lines held under these gravitational perspectives? While we are often treated to time clocks and such, Gaussian coordinates change the way we can see these lines. That's part of the change in perception.

If one would have seen the gravitational collapse in context of the temperature values increased as this collapse, degrees in the boundaries of the blackhole then what have we been taken back too, instead of the singularities that are talked about in the production of the Princess's Pea, now, we see the superfluids?

I would have to explain myself as I do that in terms of what has happened with how I see what Conformal theory and temperature valuation(Bekenstein Bound and the 5d recognition of what goes on the horizon) might have meant when looking at the blackhole horizon. How such quantum mechanical interpretations, would increase the "probabilities of things" happening in regards to those temperatures (entropic increase to expansive considerations), that we had contained the whole system, within these views, as it cooled.

So if we thought of each collision process and all the scattering that went on in how we look at this in the Calorimeters, how well the concepts are considered along side of the energy valuation and primes?

Boltzman, Pascal, and the basis of the ordering of the selection of these numbered systems and how they make themself known? While issuing from a such a pure state of 5d considerations what transpired to see pascal's triangle would/should include primes?

IN binomial series such expressions are raised and probabilty characteristics, that would define position and momentum, as we see correlations to particle ejection formed from such collisions?

One would have to know why this particular numbering system? What pattern is there?

             1   2   3   4   5   6   7   8   9  10
           11  12  13  14  15  16  17  18  19  20
           21  22  23  24  25  26  27  28  29  30
           31  32  33  34  35  36  37  38  39  40
           41  42  43  44  45  46  47  48  49  50
           51  52  53  54  55  56  57  58  59  60
           61  62  63  64  65  66  67  68  69  70
           71  72  73  74  75  76  77  78  79  80
           81  82  83  84  85  86  87  88  89  90
           91  92  93  94  95  96  97  98  99 100

.....and so on.

Primes to 500

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,
53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127,
131, 137, 139,149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197,
199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277,
281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367,
373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449,
457, 461, 463, 467, 479, 487, 491, 499, ...

Eratosthenes (275-194 B.C., Greece) devised a 'sieve' to discover prime numbers. A sieve is like a strainer that you drain spaghetti through when it is done cooking. The water drains out, leaving your spaghetti behind. Eratosthenes's sieve drains out composite numbers and leaves prime numbers behind.

How do such things make there way into reality and these prime numbers as signatures of the atoms and ways in which they would relate themself to this elemental table for viewing, and something then shifts in my perception. I don't know why?



If you turn probabilities above all the things held to entropic design, held in context of this universe, then such probabilities would have had to been recognized?



Does this bring us any closer to understanding of what issued from the mind of all probabilties, and in this, the idea of Bell's curve, or a bose condensate, or as a soliton form. In this situation, what said "this prime" to be associated to the probable outcome?

Ramanujan Modular Forms

Modular functions are used in the mathematical analysis of Riemann surfaces. Riemann surface theory is relevant to describing the behavior of strings as they move through space-time. When strings move they maintain a kind of symmetry called "conformal invariance"

Conformal invariance (also called "scale invariance") is related to the fact that points on the surface of a string's world sheet need not be evaluated in a particular order. As long as all points on the surface are taken into account in any consistent way, the physics should not change. Equations of how strings must behave when moving involve the Ramanujan function.

Plato:

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

Riemann's Hypothesis was always held in my opinion in context of a 5D consideration as sounds analogy) of billiards balls making that clicking sound as they collide, or, as how Wayne Hu might look at the universe in it's hill and valleys.

So looking at Heaven's ephemeral qualities, I could 't but help think of Ramanujan here, and the exercise of Hardy and the Taxi Cab.

What was the pattern incited here that would be transfered to how we see probabilistic outcome reduced, from 5D considerations and higher. It had to be reduced, but how?

Walkabout

Aborigines went walkabout in Australia for thousands of years before the first Europeans set foot on the world's oldest continent. They continue to walk, keeping alive the traditions that connect them to the landscape through stories called the Dreamtime. Today, "going bush" is a term heard from hip bars in Sydney's Rocks district to outback pubs.

While Clifford of Cosmic Variance used this refeence in his latest trip to Taiwan, and the subsequent stories and images he is giving us, I seem to be attached strongly to "the word" above. It's like when you go fishing, you have these rods, lines with a hook on it.

What value this hook? Well, to me the deeper imlication is the civilization I am referring too as the oldest people on earth(?)But I am atache to them more then in the usual way. Sound is a very provaocative thing when it resonates with ones being.



So I do not have much time before the power outage so I will expand later on here.

There is another way that you can startup walkabout on Windows. Once you have the screen sizes, and the stereo mode and your user name set and saved, you will be able to double-click on scene files and have them automatically launch walkabout with those defaults. The first time you double-click on a scene file (with a .wbt extension) you will need to choose the walkabout application (probably in C:/Program Files/ GeoWall Consortium/Walkabout/ as the program to execute when a .wbt file is double-clicked. After that all programs with the .wbt extension will launch walkabout.

But for now consider technologies and there applicable usuages and how you might use this terminology in how to travel through different terrains. IN this Case I was thinking of Clifford's stories but I also am thinking about other things. I'll show that, and also the ideas of his questions taking statistical infomration from his students to asess alot times student might use over preference for this class or that.

Ths is unique feature of integration wit students I am sure as well as what methods used in the ideas of the Future of the Notebook gatherings that he had. This technolgoy applications not just in Walabout feature heres but in how we might use gogle maps to fly across this terrains and take in the cities that we've draw down to for inspection.

Accretion Disks

"For everyone, as I think, must see that astronomy compels the soul to look upwards and leads us from this world to another."

Plato

Lubos Motl:

One of the potentially far-reaching consequences of Eva's and Gary's paper is that they seem to have found some stringy realization of the black hole final state by Horowitz and Maldacena.

You have to remeber the reason I am looking at this has to do with how collision processes within LHC and RHIC have demonstrated things happening with the creation of the strangelets.

Of course, I am thinking here of graviton production and where such things would accumulate, and if such a process was held in context of let's say scenarios given to the production of these gravitons held to the center of the earth, it would have been from moving to this 5D consideration, that such model building had overtaken what was limited to the collision process itself.

So one sees now in context of what was productions from the effect of microstate and blackhole construction in the cosmos and having joined these perspectives had to have taken some form.

So having a model in mind in terms of the Laval Nozzle explained here in previous thread such explanations would have move the conisderation on how such gatherings would have instituted in moving physics within the realm of the speculative and theoretical, to have actual models we have created by using LHC and RHIC as tools of graviton production scenarios.

Black holes often shoot out jets of material perpendicular to their accretion disks.

However, more fundamental than the absence of dissipation is the behavior of superfluids under rotation. In contrast to the example of a glass of water above, the rotation in superfluids is always inhomogeneous (figure). The fluid circulates around quantized vortex lines. The vortex lines are shown as yellow in the figure, and the circulating flow around them is indicated by arrows. There is no vorticity outside of the lines because the velocity near each line is larger than further away. (In mathematical terms curl v = 0, where v(r) is the velocity field.)

How would we see such production if superfluid consideration, if the jets were opened to new possibilties?

the graphic shows spiral shock waves in a three dimensional simulation of an accretion disk -- material swirling onto a compact central object that could represent a white dwarf star, neutron star, or black hole. Such accretion disks power bright x-ray sources within our own galaxy. They form in binary star systems which consist of a donor star (not shown above), supplying the accreting material, and a compact object whose strong gravity ultimately draws the material towards its surface.

I still need to do some homework here.

High Resolution 3D Hydrodynamic Simulations
of Accretion Disks in Close Binaries

Michael P. Owen
Theoretical Astrophysics Group
Department of Physics
North Carolina State University



So we look at the LHC model for comparison here in accretions disk energy formations, as we projectile these protons in either direction? Now if we were to lay over top of LHC the very idea of jet production in a macrosense, where would this jet in terms of it's collision process reveal itself if not towards the center of the earth or skyward to do what? Now you have to rmeber you are seeing in a different way that is based on assumption of bulk perspectves.

Have I some how bastardize this process from my ignorance as a layman?