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Showing posts with label Landscape. Show all posts
Showing posts with label Landscape. Show all posts

Sunday, June 16, 2013

Freeman Dyson: 98 - Summer school at Les Houches



Born in England in 1923, Freeman Dyson moved to Cornell University after graduating from Cambridge University with a BA in Mathematics. He subsequently became a professor and worked on nuclear reactors, solid state physics, ferromagnetism, astrophysics and biology. He has published several books and, among other honours, has been awarded the Heineman Prize and the Royal Society's Hughes Medal. See:98-Summer school at Les Houches



See Also:

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??

Thursday, February 24, 2011

Shape as Memory : A Geometric Theory of Architecture

I have yet to read the book.

What came to mind as I was looking at this has to do with the landscape of ideas.

It has to do with what is lying in those valleys. This may supply some understanding of how something can evolve from symmetry, as an expression of asymmetry geometrical objects. Pebbles on the side of mountains. So the idea then is that the memory is a form of geometrical expression of the energy. The object itself contains the information.

How do buildings store information and experience in their shape and form? Michael Leyton has attracted considerable attention with his interpretation of geometrical form as a medium for the storage of information and memory. In this publication he draws specific conclusions for the field of architecture and construction, attaching fundamental importance to the complex relationship between symmetry and asymmetry.


LIST OF CONTENT


1. Geometry and Memory 8
1.1 Introduction 8
1.2 Conventional Geometry: Euclid to Einstein 8
1.3 Special and General Relativity 10
1.4 New Foundations to Geometry 12
1.5 The Memory Roles of Symmetry and Asymmetry 15
1.6 Basic Procedure for Recovering the Past 18
1.7 Architecture 21

2. A Process-Grammar for Shape 24
2.1 Curvature as Memory Storage 24
2.2 General Symmetry Axes 25
2.3 Symmetry-Curvature Duality 26
2.4 The Interaction Principle 27
2.5 Undoing Curvature Variation 28
2.6 Extensive Application 29
2.7 A Grammatical Decomposition of the Asymmetry Principle 31
2.8 Process-Grammar and Asymmetry Principle 35
2.9 Scientific Applications of the Process-Grammar 36
2.10 Artistic Applications of the Process-Grammar 40
2.11 Architectural Applications of the Process-Grammar 41

3. Architecture as Maximal Memory Storage 54
3.1 Introduction 54
3.2 The Two Fundamental Principles 54
3.3 Groups 55
3.4 Generating a Shape by Transfer 56
3.5 Fiber and Control 58
3.6 Projection as Memory 59
3.7 Regularity in Classical Architecture 62
3.8 Breaking the Iso-Regularity 69
3.9 Reference Frames 70
3.10 New Theory of Symmetry-Breaking 70
3.11 Maximizing Memory Storage 72
3.12 Theory of Unfolding 75

4. Architecture and Computation 86
4.1 Introduction 86
4.2 New Foundations for Science 86
4.3 New Foundations for Art 89
4.4 New Foundations for Computation 90
4.5 What is a Building? 91

Tuesday, March 17, 2009

All Possible Outcomes?

I must say to you that in my case I am asking of Calabi Yau's, can have some predictability to how universe selection is accomplished and thus any steady development in mathematics pushing that landscape to credibility?


This entry is for representing a point of view much clearer then had been previously demonstrated in the following links shown below at the bottom of this post.

Phil:
I wouldn’t exactly say that the evidence presented on its own would not have been enough, yet rather that it became more quickly evident and compelling as the speaker was relaying his findings and conclusions while reliving for us his ‘eureka” moment you might say. This has the learner trade places with the discoverer as to experience the moment. Anthony Zee had the same effect on me in the book I have mentioned. Where I am certain you are correct is that despite the abilities of the teacher if one is not open to things in these ways they will never be sought to be enjoyed. This for me is the difference in simply learning a fact and realizing a truth.




Of course I like humour and in this context, it can show another side to the coin to show that while it has a quality to it in that humour, it also has a science consideration in structure as well. The Aristotelean arch is representative here then of the moment that the climax is reached, as if telling a story about, and we know very well its meaning.

It is the assessment of a "body of thought" that arranges itself around a progressive point of view, that while matter forming in retention times of those smaller peaks of the classroom it became the written word of the orators. You see, smaller peaks versus written transmission of the idea.

Pg 191, Symmetry and the Beautiful Universe, by Leon M. Lederman and Christopher T. Hill

That this place can reside in the thinking mind is a quandary of sorts knowing full well the probabilistic outcome ensures that the direction, after critical thinking, is the way in which the mind comes to see itself as it rests in the valley below. Conceptually the thinking has formed.

Pg 200, Symmetry and the Beautiful Universe, by Leon M. Lederman and Christopher T. Hill

***


You see while some are expanding their physical horizons, it is of note that I see they had been expanding their mental one too. Some have comment on the flexibility of an intelligent mind to traverse across the globe of that same thinking mind, to expand the relationships that are psycho relevant in an metaphorical relation to contract it to a humour of a kind, and a hence a deeper meaning.

See:Backreaction-Power Spectrum

So in all aspects while we see this relational pictorial chart it is in relation to the potential I see, that any mind might have settled down to a state to have caught the jest of the revision so that its relevance can been seen in that same relationship to the universe at large.

So the peak in this case is a rendition of the unstableness of the pencil in relation to Cosmic inflation. That any mind might come to this position is to recognize that it has found the fastest route to the understanding of the symmetry of this universe and that th energy contained here is although unstable it is found to be expressive.




***


See:
  • Coin, as a Constituent of Symmetry
  • Stargazers and Hill Climbers
  • Orators Reduced to Written Words


  • See Also:
  • The Location of the Rooms
  • The Landscape Again and again....
  • Sunday, January 11, 2009

    SuperCritical Fluid

    What choice do I have but to quote myself.:)

    At 11:47 AM, January 09, 2009, Blogger Plato said...
    Superfluous is a mathematical construct for sure. Continuity, asked not from the condense matter theorist point of view as Jacque's remind, or, as Susskind speaks of Laughlin( was Susskind ever aware of Witten's statements?)


    Edward WittenEdward Witten's Homepage

    One thing I can tell you, though, is that most string theorist's suspect that spacetime is a emergent Phenomena in the language of condensed matter physics.

    Now I write this link and quote above because it set my own mind in motion, from that point. I began looking at the experiments and trying to derive something that was consistent in that process that would lead into that same logical conclusion that we are "seeing" and "not seeing" what happens.

    Once we know that there is one de Sitter solution, it is easy to find many more of them by just changing the values of the fluxes. Sujay Ashok and Michael Douglas of Rutgers University have recently estimated the number of different solutions to be at least 10100, which indicates an extremely rich landscape with many mountains, valleys, oceans and even volcanoes. Each minimum-energy point represents a different universe, and the height of that point is the value of the cosmological constant for that universe. Viewing the solution this way, the probability that one of these universes has a cosmological constant that is as small as is indicated by current experiments is actually non-zero. See:The string-theory landscape


    You must know there is a reason that I am showing these articles just to provide consideration and will put up some information here soon that deals with this point.

    I would say I do and am always impressed by Lubo's candidness, so I do not derive any solution to this process and it remains a troubling aspect of my research. The counter argument I produce I had discovering along the way to provide an example in a comment section that deals with what I am saying to Zephir here in this blog entry, under the idea of the landscape. I would ask that Lubos look a little closer and speak to the idea of the Landscape even though under the tutelage of Tom Banks, he specifics his reluctance.

    You must also know that I do not align myself with any current research model( disaster scenarios specific LHC.Org) other then to say I recognize facets "of this thinking from my own research" and that this presentation speaks to that. If there is no math involved then how can it represent the landscape in thinking? Logical conclusions, follow logical math processes in String theory?

    Letting our minds be consoled with the understanding that cosmic particle collisions take place on earth is the point I am making about seeing "the sun in gamma" and understanding that such measures allow us to see this way. It also helps us to understand that such a location(microscopic blackholes) allows information to travel faster then light in the medium of earth, so that we understand that things can travel "through and tunnel." Information is conserved.

    A supercritical fluid is any substance at a temperature and pressure above its thermodynamic critical point. It can diffuse through solids like a gas, and dissolve materials like a liquid. Additionally, close to the critical point, small changes in pressure or temperature result in large changes in density, allowing many properties to be "tuned". Supercritical fluids are suitable as a substitute for organic solvents in a range of industrial and laboratory processes. Carbon dioxide and water are the most commonly used supercritical fluids, being used for decaffeination and power generation respectively.
    See Also:
  • animated presentation describing what a supercritical fluid is


  • ***







    For explanation of these animations see: The behaviour of dense particle systems.

    From certain perspective, the AWT is extrapolation of free fermion models of string field theory to zero dimension. These models are nothing very new in physics, as some physicists have assumed, the strings are composed from more fundamental particles (so called preons) already. The one-dimensional strings are just the lowest number of dimensions, which the formal math can handle without problem, while avoiding the singularities. The concept of environment composed from zero dimensional particles is naturally singular from formal math perspective, so it cannot use it. It can be replaced by one-dimensional strings partially, but here's a technical problem: such approximation leads to
    landscape of 10E+500 possible solutions
    , so it's unusable from practical reasons. While from particle model of Aether is evident, such system enables the only way of it's compactification, leading to dynamic mesh of one-dimensional density fluctuations (i.e. "strings") naturally - so no assumption of strings, no assumption of relativity and quantum mechanics postulates is required here at all. By such way, the zero-dimensional approach follows the Occam razor criterion, which
    minimizes the number of postulates
    in theories.
    See:27789 - 09/18/08 04:08 AM Re: Aether Wave Theory [Re: zorro1]

    ***


    See Also:

  • Are Strings as Spacetime an Emergent Phenomena?

  • Lost in Translation

  • Birth By Approximization
  • Wednesday, May 14, 2008

    The Location of the Rooms




    The theory of strings predicts that the universe might occupy one random "valley" out of a virtually infinite selection of valleys in a vast landscape of possibilities
    Quantum Effect, however allow a manifold to change state abruptly at some point-to tunnel through the intervening ridge to a nearby lower valley.

    By Raphael Bousso and Joseph Polchinski, Scientific America, Beyond Einstein, September 2004



    What possibility exists if we did not see some resolve, as we examine the nature of what shall become the subject of these rooms? What is the significance of these locations then, that we shall appoint mountain places, and valleys abodes, that such thinking is reduced to something that comes out of statistical significance, and then materializes into the potential?

    Another deep quantum mystery for
    which physicists have no answer has to do with "tunnelling" -- the bizarre ability of particles to sometimes penetrate impenetrable barriers. This effect is not only well demonstrated; it is the basis of tunnel diodes and similar devices vital to modern electronic systems.

    Tunnelling is based on the fact that quantum theory is statistical in nature and deals with probabilities rather than specific predictions; there is no way to know in advance when a single radioactive atom will decay, for example.

    The probabilistic nature of quantum events means that if a stream of particles encounters an obstacle, most of the particles will be stopped in their tracks but a few, conveyed by probability alone, will magically appear on the other side of the barrier. The process is called "tunnelling," although the word in itself explains nothing.



    Photograph by Clifford Johnson


    While I used Mt Olympus previously, I thought, hey! why not use another individual's picture for comparison. While these pictures become fixtures in mind, the rooms that we are going to visit are places that have certain potentials realized are conceptually defined for us as we enter.

    Click on the picture for a further explanation

    Now one must know is that like every culture of our historical past, it is important to take the myth and bring it down to earth for some comparative view. What place is this, if we had not journeyed to the valleys for consideration?



    As a lay person following the debate on the issue of Finiteness in String Theory landscape was the point technically reached that I was referring too.





    IN concert with Virtual Reality of the Ancients, I am going to bring the science back into the picture for a minute, so one understands that the developing views had not been without some basis of thought in my considerations.

    The landscape became an important look at the relationship to the "topography of the energy" and hence, it's relations that point too, the aspects I wish to create in these rooms. Now indeed, such configuration spaces talk about the potential that is realized when there are "consolidating factors" that reduce the potential understanding to the valleys.

    It had to be philosophically sound, in that the comparative features assigned to metaphorical creations, would instill, and form the basis of that science, as well as, furthered information as a consequence in setting up the models for the production of these rooms.

    The equations of string theory specify the arrangement of the manifold configuration, along with their associated branes (green) and lines of force known as flux lines (orange). The physics that is observed in the three large dimensions depends on the size and the structure of the manifold: how many doughnut-like "handles" it has, the length and circumference of each handle, the number and locations of its branes, and the number of flux lines wrapped around each doughnut.


    Still within context of this given space, the relationship to a "space in the universe" does not discount that other probabilities exist, where these rooms are possible. It thusly creates an place closer to the "indecomposable element that we've assigned," not only to the possibilities, but also what is injected into this space from beyond the confines of that room.

    See:

  • The landscape again and again
  • Tuesday, October 09, 2007

    The Landscape Again and again....




    Of course I am not qualified to have an opinion about whether the landscape is of value or not. That there are people on two sides that have differing opinions, and based on what they have as proof to the contrary, of one or another, is whether the issue is ready for a forgone conclusion? Whether the person in association is a forgone conclusion.

    Topography of Energy?

    7. dorigo - October 8, 2007
    Hi anomalous,

    I will take your word for it - I must admit I was not aware of the breadth of his works. However, Nima’s position on the anthropic landscape of ST is enough for me to warn any student about his views.
    Cheers,
    T.


    Stanley Mandelstam Professor Emeritus Research: Particle Physics
    My research concerns string theory. At present I am interested in finding an explicit expression for the n-loop superstring amplitude and proving that it is finite. My field of research is particle theory, more specifically string theory. I am also interested in the recent results of Seiberg and Witten in supersymmetric field theories.



    So by looking at a statement of a person, I wondered, has such a conclusion been reached and support by documentation that will help me decide?

    Outrageous Fortune

    There’s an article in this week’s Nature by Geoff Brumfiel entitled Outrageous Fortune about the anthropic Landscape debate. The particle physicists quoted are ones whose views are well-known: Susskind, Weinberg, Polchinski, Arkani-Hamed and Maldacena all line up in favor of the anthropic Landscape (with a caveat from Maldacena: “I really hope we have a better idea in the future”). Lisa Randall thinks accepting it is premature, that a better understanding of string theory will get rid of the Landscape, saying “You really need to explore alternatives before taking such radical leaps of faith.” All in all, Brumfiel finds “… in the overlapping circles of cosmology and string theory, the concept of a landscape of universes is becoming the dominant view.”

    The only physicist quoted who recognizes that the Landscape is pseudo-science is David Gross. “It’s impossible to disprove” he says, and notes that because we can’t falsify the idea it’s not science. He sees the origin of this nonsense in string theorist’s inability to predict anything despite huge efforts over more than 20 years: “‘People in string theory are very frustrated, as am I, by our inability to be more predictive after all these years,’ he says. But that’s no excuse for using such ‘bizarre science’, he warns. ‘It is a dangerous business.’”

    I continue to find it shocking that the many journalists who have been writing stories like this don’t seem to be able to locate any leading particle theorist other than Gross willing to publicly say that this is just not science.

    For more about this controversy, take a look at the talks by Nima Arkani-Hamed given today at the Jerusalem Winter School on the topic of “The Landscape and the LHC”. The first of these was nearly an hour and a half of general anthropic landscape philosophy without any real content. It was repeatedly interrupted by challenges from a couple people in the audience, I think David Gross and Nati Seiberg. Unfortunately one couldn’t really hear the questions they were asking, just Arkani-Hamed’s responses. I only had time today to look at the beginning part of the second talk, which was about the idea of split supersymmetry.

    Update: One of the more unusual aspects of this story is that, while much of the particle theory establishment is giving in to irrationality, Lubos Motl is here the voice of reason. I completely agree with his recent comments on this article. For some discussion of the relation of this to the Intelligent Design debate, see remarks by David Heddle and by Jonathan Witt of the Discovery Institute.


    A sphere with three handles (and three holes), i.e., a genus-3 torus.

    Jacques Distler :

    This is false. The proof of finiteness, to all orders, is in quite solid shape. Explicit formulæ are currently known only up to 3-loop order, and the methods used to write down those formulæ clearly don’t generalize beyond 3 loops.

    What’s certainly not clear (since you asked a very technical question, you will forgive me if my response is rather technical) is that, beyond 3 loops, the superstring measure over supermoduli space can be “pushed forward” to a measure over the moduli space of ordinary Riemann surfaces. It was a nontrivial (and, to many of us, somewhat surprising) result of d’Hoker and Phong that this does hold true at genus-2 and -3.


    So by following the conversation I meet up with was offered as evidence, this then, leads me to follow up in even greater depth. How can one give a person such a title of "in question," based on what another posts, as to their characrter of study?

    The equations of string theory specify the arrangement of the manifold configuration, along with their associated branes (green) and lines of force known as flux lines (orange). The physics that is observed in the three large dimensions depends on the size and the structure of the manifold: how many doughnut-like "handles" it has, the length and circumference of each handle, the number and locations of its branes, and the number of flux lines wrapped around each doughnut.

    11. Plato - October 9, 2007
    Tammaso:However, Nima’s position on the anthropic landscape of ST is enough for me to warn any student about his views.
    So is this support for what you think is relevant. I have followed the discussions between Lee Smolin, Jacques Distler, Clifford of Asymptotia and Peter Woit of “Not Event Wrong.”

    I wonder if you had “more information,” if this might change your statement above, and conclusion, you may have drawn from seeing another view? One you might not of seen before?

    Is mathematical consistency of value to you when it is developing?


    So with a certain knowledge already gain from following other discussions I am quick to ask if such a link to another is good enough for assigning credibility to another person. Especially one who holds a "view point" other then one held by Peter Woit. After all is Peter Woit not a mathematics man? I am really asking.



    So based on this assumption(what I ask others not to do) about Peter Woit or string theorist while having a basis in mathematics. I am asking, that if such a development that is, "current and consistent in mathematics" why would this contradict and qualify any individual "to other then" what mathematics requires to move forward. To try and attempt too, "connect to reality" in a phenomenological way?

    The basis of my insight is in fact current collider technologies, and the relationship I see to bulk production gravitons. If Gr is an outcome of String theory then, any pocket universe that demonstrates some mathematical consistency should, be of relevances in one's decision?

    It is always a work in progress that such questions continue to push me forward. In that process I "vaguely recall" that Jacques did not think the association to modular form in terms of the genus figure could ever be related to that pocket universe?

    I must say to you that in my case I am asking of Calabi Yau's, can have some predictability to how universe selection is accomplished and thus any steady development in mathematics pushing that landscape to credibility?

    Saturday, September 22, 2007

    E8 and the Blackhole

    "I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered."Donald (H. S. M.) Coxeter


    There are two reasons that having mapped E8 is so important. The practical one is that E8 has major applications: mathematical analysis of the most recent versions of string theory and supergravity theories all keep revealing structure based on E8. E8 seems to be part of the structure of our universe.

    The other reason is just that the complete mapping of E8 is the largest mathematical structure ever mapped out in full detail by human beings. It takes 60 gigabytes to store the map of E8. If you were to write it out on paper in 6-point print (that's really small print), you'd need a piece of paper bigger than the island of Manhattan. This thing is huge.


    See:Pasquale Del Pezzo and E8 Origination?-Monday, March 19, 2007

    If I had thought there was a way to describe the "interior" of the blackhole, it would be by recognizing the dimensionality the blackhole had to offer. One had to know where to locate "this place in the natural world." If we had understood the energy values of the particle world colliding(that space and frame of reference, then what were we finding that such a place in dimensionality could exist in the natural world? Yoyu had to accept that there was dynamical moves that werre being defined as a possiility.

    Thus RHIC is in a certain sense a string theory testing machine, analyzing the formation and decay of dual black holes, and giving information about the black hole interior.The RHIC fireball as a dual black hole-Horatiu Nastase


    So what ways would allow us to do this, and this is part of the idea that came to me as I was thinking about the place where all possibilities could exist. Yet, what existed as "moduli form in the valleys" was being extended. So I am connecting other things here too.

    Monday, September 17, 2007

    The Gravity Landscape and Lagrange Points

    "We all are of the citizens of the Sky" Camille Flammarion


    In 1858, by the set of its relations, it will allow Camille Flammarion, the 16 years age, to enter as raises astronomer at the Observatory of Paris under the orders of Urbain the Glassmaker, at the office of calculations.


    There is a deep seated need to look beyond ourselves. We tend to look up in space, while there is this greater vision that lies even beyond what we are so used to in our everyday lives.


    (Larry Niven's Ringworld, seen from space. Artwork by Harry Frank
    Ringworld is a Hugo and Nebula award-winning 1970 science fiction novel by Larry Niven, set in his Known Space universe. The work is widely considered one of the classics of science fiction literature. It is followed by three sequels, and it ties in to numerous other books in the Known Space universe.
    .


    Our view of space and living beyond the confines of Earth, is lived over in the minds of those who have struggled within science to make these travels possible.

    Imagine that first look at the blue planet. How glorious this view, while here we mere mortals look at what those take for granted as they now use the machines they created to visit new planets.

    L4 and L5

    The L4 and L5 points lie at 60 degrees ahead of and behind Earth in its orbit as seen from the Sun. Unlike the other Lagrange points, L4 and L5 are resistant to gravitational perturbations. Because of this stability, objects tend to accumulate in these points, such as dust and some asteroid-type objects.

    A spacecraft at L1, L2, or L3 is ‘meta-stable’, like a ball sitting on top of a hill. A little push or bump and it starts moving away. A spacecraft at one of these points has to use frequent rocket firings or other means to remain in the same place. Orbits around these points are called 'halo orbits'.

    But at L4 or L5, a spacecraft is truly stable, like a ball in a bowl: when gently pushed away, it orbits the Lagrange point without drifting farther and farther, and without the need of frequent rocket firings. The Sun's pull causes any object in the L4 and L5 locations to ‘orbit’ the Lagrange point in an 89-day cycle. These positions have been studied as possible sites for artificial space stations in the distant future.


    I draw you attention too,"ball sitting on top of a hill" in the previous article. One should get the idea right away, that what was revealed in the possibilities of the landscape, could have correspondences in how we look at the universe in it's gravitational considerations.



    Who would have known that such "orbital tendencies" which would have seem so chaotic, could have let one seen Lissajous's by design. You might think of Lorentz's butterfly flapping it's wings, yet such probabilities are held "to a spot" that is a result of placement within the very nature of the landscape of the gravitational cosmos.

    So would you have wondered, "if we considered "E8" as a dimensional attribute of such probabilities "by design in such a place" what would this place look like? Would you have selecedt the probability of this resulting ball to falling in the respective valley as a, moduli form?

    Wednesday, June 06, 2007

    The Cosmic Landscape

    I noticed a few blogs mentioning the landscape.

    Asymptotia(Clifford Johnson), The Reference Frame(Lubos Motl), and Not Even Wrong (Peter Woit's) blog.

    The Cosmic Landscape:String Theory and the Illusion of Intelligent Design by Leonard Susskind

    After reading Susskind's book in regards to the landscape issue, I was intrigued by the First Three Microseconds previous as it helped iilucidate some of this information for me. As well as giving me some indications from the blogs mentioned and the topic therein.

    What struck me a quite profound in reading Susskind's book, was that what was to all appearances a troubling issue with "eyesight," in regards to Peter Woits idea of intelligent design attributed to the landscape of string theory, that Susskind, was actually answering him by pronoucing the title of this book of his. It's obvious, he has been watching the discussions.

    Now what was profound, was that the idea of the landscape was a mathematical construct. If you were so concerned about the idea of the landscape, then why would anyone with "math skills" reject the landscape? If the day is announcing itself in blog voices and now say hmmm.... with interest, I see that it is becoming more acceptable?

    If you did not see the "hills and valleys" for what they were, then why would you reject what was leading in terms of the finiteness of Mandelstam, and then say, there was no more future in regards to where math had left off?

    This is Lee Smolin's downfall I think when discussing the issue of Polchinski's concepts, reitereated with regards to Lee's book, and the "ventures of mathematics" as it has been spelted out and had pointed towards the landscape issues.

    This is where Peter Woit made his mistake as well.

    I accept that a lot of people don't like it. But that's not the point in terms of mathematical development, as it had been argued by Polchinski, against his reading and comments in regards to Lee Smolin's book.

    See:The First Three Microseconds

    This infomration has lead me to insights about the landscape that had missed most people, even those who are well educated. My point above is in regards to Mandelstam, and the arguments against Lee by Jacques distiller, was important from this aspect.

    Reject the notion of the topological figures in relation to the landscape issue, and what is left? Yes, Lee's and Peter Woits ideas about the landscape, which is not finished. Which is leading with concepts, by mathematical deduction.

    Can't always answer in post responses, but please let me know that you are visiting? :)

    My son and I are starting our foundation. I write when I can, but read in the hours without our electricity and by battery alone.

    Wednesday, April 04, 2007

    Finiteness in String Theory Landscape

    Quantum Effect, however allow a manifold to change state abruptly at some point-to tunnel through the intervening ridge to a nearby lower valley.
    Please take note of the underlined.

    Well after some thought here in terms of the landscape, it was important from what I understood, that finiteness be explained in the String Theory landscape. That there were markers with which to measure this progress?

    A sphere with three handles (and three holes), i.e., a genus-3 torus. See Finiteness of String Theory and Mandelstam

    There is a conversation going on at Cosmic Variance that is continuing with the ongoing debate String Theory is Losing the Public Debate. Well from the technical aspects that is foolish.



    As a lay person following the debate on the issue of Finiteness in String Theory landscape was the point technically reached that I was referring too.

    David has been careful to lead us through this and as a layman I am watching the way he is describing, so I am learning, as I learnt in other debates.

    I hope Jacques that you would encourage David instead of express the futility of such an debate, I have learnt as so many others that you have to "talk past a certain point" if you can no longer get the subject moving beyond the ole rhetoric.

    So while learning the difference between the "Fitness landscape" and the "String theory landscape, I learnt the difference is the "finiteness issue in the String theory Landscape?" This then been carried to the issue of Mandelstam and the triple torus?

    So this in itself was what allowed us to say that the string theory landscape was indeed working toward the issue of Finiteness with which many have found to be a problem.


    See here

    Sometimes I wonder why I care so much about working this process and I can only conclude that having my own motivations, and seeing where we had been lead to a point, I had see for myself where the limits of the discussion or debate was being left off.

    I learnt to move this forward in face of the points reached. In terms of the same ole rhetoric supplied by Peter Woit. I found that if I wanted to learn anything further in regards to string theory I had to move beyond his arguments confronted, and I have even stopped listening to him. Why would you continue to do research, when a forgone conclusion had been adopted? It's easy, just adopt his point of view and why comment any further unless you had some ulterior motive? Some important information that you could discredit the string theory model itself?

    Then it would all be done an dover with and we would have no need further for their services.

    Mandelstam held within context of the String landscape

    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. See Blackhole Horizon, "as a Hill?"

    So for me having markers in place seems critical so I can progress from where future points being talked. I continue to learn from Lee Smolin and why it was important to differentiate between the String theory Landscape and the Fitness Landscape that he is extolling.

    Now what does this mean and I needed the article from George Musser's editorial position with the Scientific America magazine to further what I had found. Who said a good magazine, holding a independent position, one way or the other, could not report "bias free" without interjecting it's thought to further embed in consciousness, that a perceived condition exists? That string theory is dead? No, that string theory is loosing ground in a debate? Hardly :)

    Considering it's source, I would think about shifting the need for consultation to incentives to post docs, and then maybe Lee Smolin could come in and support that position and then it seems, the debate is going in their direction? Talking about getting away form the essence of the debate on string theory loosing ground. This is a smoke screen being put up when the issue technically were getting close, now required some kind of diversion tactic, of course bas don the same issue with which they perceive string theory is being supported by special interest, and then moving the perception to who should be hired and preferential treatment?

    Monday, April 02, 2007

    Blackhole Horizon, "as a Hill?"


    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.
    See Bubble Nucleation

    You know I have these thoughts about the string landscape. No where do I find a conversation ongoing that speaks to this.

    I am directing our views back to the origins of the universe so that while the geometrics of Smolin's is speaking to what manifests in our universe, the propagation there holds a vast difference to what is being implied in the geometrical topology to other possible expressions asking for clarification "in tunnneling" with the string theory landscape

    With regards to the matrimonial issues of the science and quantum gravity, any perspectives with differing views would help elucidate the problems. So one may help indicate "the network" to which each is thinking and thus reveal the attributes encoded in that marriage. This is a well balanced approach to facing the future in regards to science in my view? :)

    Hurricane tree © by Jocke Berglund See " A tree in the forest"

    Without continuing debate one may come to a dead end, whilst the "opening to diversity" had already been implied in quantum gravity research. Which part of the elephant are you grabbing on too?

    Plato:
    I know most have moved on.

    String Theory Landscape

    Quantum Effect, however allow a manifold to change state abruptly at some point-to tunnel through the intervening ridge to a nearby lower valley.


    See here

    AS a layman I needed to understand the differences of String theory Landscape and Fitness landscape? Are others having the same problem?

    Fitness landscape

    In evolutionary biology, fitness landscapes or adaptive landscapes are used to visualize the relationship between genotypes (or phenotypes) and reproductive success. It is assumed that every genotype has a well defined replication rate (often referred to as fitness). This fitness is the “height” of the landscape.


    See here

    Always still a puzzle to me. :) Thanks for your patience.


    [Published in: Chains of Affection: The Structure of Adolescent Romantic and Sexual Networks, Bearman, Moody and Stovel, American Journal of Sociology, 110, 1 (July 2004) 44-91.] See "Sexual Network."

    It was important that I distinguish between positions currently adopt by the String community and what is proposed in argument by Lee Smolin's perception? You had to know that regardless of the views extolled by each of them, they must each have some "geometrical basis" that allows us to understand what the "bubble nucleation" is talking about. The false vacuum and it's movement to the true.

    You had to identify the mechanism used here to extol the points being made.

    Some may have designs of networks that speak to the propagation of what this Fitness landscape is about, and people would not be all the wiser if they had understood the geometrical inclination described in the quote above placed at Clifford's ongoing conflict of representation about string theory to have it further announced at Cosmic Variance as String Theory loosing some kind of battle?

    Using Boltzman's brain as a recall of what is happening in the blackhole is part of the discussion I had been trying to move forward without any help from those that should be standing front and centre, regarding their respective fields. Why I have hung around Clifford's continued efforts to answer this supposed Conflict? In face of proponents who would like to bury string theory for what ever reason.

    I have to include this post so that you understand the relationship of

    If one cannot see "the mechanism being used" then of course it won't make sense.

    String Theory Landscape

    Quantum Effect, however allow a manifold to change state abruptly at some point-to tunnel through the intervening ridge to a nearby lower valley.

    Some maybe happy with the propagation of the species :) but one would have to draw their attention to the geometrical basis of these two differing views on the landscape brought forward?

    I am invoking "Boltzmann's brain" here. :) While it may ensue from "first principles" I am still referring to quantum gravity in both regards.

    If this is not done, then the debate will continue, "in the land of babble" and "Pink Elephants." Us lay people are not happy about this.
    See here for link.

    So without identifying the "physics involved" and the "geometrical basis" what use is there to continue the debate while it had been thought that the layman were disrupting the process while the supposed educational level was being somehow more responsible?

    It required that we indentify the markers from which to progress and in doing this, one then gets a fothold on the ensuing debate about string theory landscape versus Smolin's Fitness landscape? Hope I got this right?

    Saturday, March 31, 2007

    Great Pyramid was built inside out, Frenchman says

    Man ponders shadow, or shadow ponders itself?


    Great Pyramid of Giza was the world's tallest building from c. 2570 BC to c. 1300 AD.†

    For me, this has always been somewhat of an interest of mine. I'll tell a little bit of why this is so as well. Give you some ideas about what the pyramid represents to me and then of course you can add your own theories like anyone one else does, who has a similar interest.

    Great Pyramid of Giza. From a 19th century stereopticon card photo

    Given the "artifact of the structure," we like to inject our own ideas about things. Stand amazed, as if "on the site" we are some how transported back in time to the history that must be recorded some place?

    I would just as soon turn on the television of the event linked in some "physics way" then on the psychometry subjectively induced perceptions that can be held. We would have to remove "our bias" in place of "the connection" not understood.


    Will We Travel Back (Or Forward) in Time? by RICHARD GOTT III

    Einstein proved we can travel forward by moving near light speed. Backward requires a wormhole, cosmic string and a lot of luck
    Do the laws of physics permit time travel, even in principle? They may in the subatomic world. A positron (the antiparticle associated with the electron) can be considered to be an electron going backward in time. Thus, if we create an electron-positron pair and the positron later annihilates in a collision with another, different electron, we could view this as a single electron executing a zigzag, N-shaped path through time: forward in time as an electron, then backward in time as a positron, then forward in time again as an electron.




    When I think of Ronald Mallet and the time travel issue, I like to think of what history can show in it's most intimate moments. That it could place a spell upon us as "a window" to that past. You must know of my attempts at the cosmology used to discern gamma ray detection and the depth perception "enhanced" using that method.

    The Window to our past becomes much clearer as time in science also progresses.

    Signal Travels Farther and Faster Than Light By MALCOLM W. BROWNE

    Another deep quantum mystery for which physicists have no answer has to do with "tunneling" -- the bizarre ability of particles to sometimes penetrate impenetrable barriers. This effect is not only well demonstrated; it is the basis of tunnel diodes and similar devices vital to modern electronic systems.

    Tunnelling is based on the fact that quantum theory is statistical in nature and deals with probabilities rather than specific predictions; there is no way to know in advance when a single radioactive atom will decay, for example.

    The probabilistic nature of quantum events means that if a stream of particles encounters an obstacle, most of the particles will be stopped in their tracks but a few, conveyed by probability alone, will magically appear on the other side of the barrier. The process is called "tunnelling," although the word in itself explains nothing.


    So anyway, many theories arise as to how it was constructed. That is not my concern at this time, although, I show the latest in the news. It is more about the geometry that exists, and what I think this model is used for?

    Great Pyramid was built inside out, Frenchman saysBy Tim Hepher, Reuters Fri Mar 30, 2007 12:20PM EDT

    PARIS (Reuters) - A French architect said on Friday he had cracked a 4,500-year-old mystery surrounding Egypt's Great Pyramid, saying it was built from the inside out.

    Previous theories have suggested Pharaoh Khufu's tomb, the last surviving example of the seven great wonders of antiquity, was built using either a vast frontal ramp or a ramp in a corkscrew shape around the exterior to haul up the stonework.

    But flouting previous wisdom, Jean-Pierre Houdin said advanced 3D technology had shown the main ramp which was used to haul the massive stones to the apex was contained 10-15 meters beneath the outer skin, tracing a pyramid within a pyramid.


    Map of the Giza Pyramid complex

    So of course in order to get close to what I want to show it is important that I show a map of the Giza Pyramid complex so you understand what it is that I propose.

    It was important that I show dominate features of the history of the thinking. That it helps to display what the purpose was and how the Giza Plateau was marked according to a Calendar.

    Yes a calender, You heard it here for the first time and going back to my early research I will show what I drew then and what this calendar is of. As well, how it was used to demonstrates key locations on that Giza Complex.

    Map of Giza pyramid complex.

    Models built for thought progression were important features in understanding what any theory does for us as we want to progress our views of the world we live in. No matter how abstract the idea, if it can lead one to new perceptions and bring new perspective to the way in which we see the world then it is not the illusions with which we wish to further perpetuate, but the understanding of our place in the world.



    Plato- Book VII of The Republic-The Allegory of the Cave

    And now, I said, let me show in a figure how far our nature is enlightened or unenlightened: --Behold! human beings living in a underground den, which has a mouth open towards the light and reaching all along the den; here they have been from their childhood, and have their legs and necks chained so that they cannot move, and can only see before them, being prevented by the chains from turning round their heads. Above and behind them a fire is blazing at a distance, and between the fire and the prisoners there is a raised way; and you will see, if you look, a low wall built along the way, like the screen which marionette players have in front of them, over which they show the puppets.
    See here as well.

    So to get to the points I make it is important to understand some of Plato's writings in order for you to get the jest of the influences of that Egyptian culture. As well, I was lead to believe, this is the beginning of the work for those in science who begin their education.

    I go back to this because of what is needed to be place in mind. What I gather from that culture, and what I perceive is influencing science deep within it's consciousness, as humanity, struggles to become clear about it's place in the universe.

    The Landscape and Quantum Tunnelling

    Quantum tunnelling (or tunneling) is the quantum-mechanical effect of transitioning through a classically-forbidden energy state. It can be generalized to other types of classically-forbidden transitions as well.

    Consider rolling a ball up a hill. If the ball is not given enough velocity, then it will not roll over the hill. This scenario makes sense from the standpoint of classical mechanics, but is an inapplicable restriction in quantum mechanics simply because quantum mechanical objects do not behave like classical objects such as balls. On a quantum scale, objects exhibit wavelike behavior. For a quantum particle moving against a potential energy "hill", the wave function describing the particle can extend to the other side of the hill. This wave represents the probability of finding the particle in a certain location, meaning that the particle has the possibility of being detected on the other side of the hill. This behavior is called tunnelling; it is as if the particle has 'dug' through the potential hill.



    The landscape presents the idea of tunnelling which I had been thinking about. I showed the link again in a the previous post discussing the "elephant and the horizon" to demonstrate that the "question of time" by Smolin. That it may undergo some features, while talking about the issues of quantum gravity? How were we to measure this knowing Planck Time? So you need ways in which to measure this. At Planck length how are you to do this?



    Substituting this mass back into one of the length expressions gives the Planck length




    and the light travel time across this length is called the Planck time:



    Keep in mind that this is a characteristic time, so its order of magnitude is what should be noted. Sometimes it is defined with the wavelength above divided by 2π, so don't worry about the number of significant digits.


    I draw attention to the plasmatic events demonstrated by the Quark Gluonic perception. How is this perceived and measured at this level? So you are sending measure to reductionistic views. Lee Smolin accepts this I think? While we understand the comparative view of all particles associated to a energy valuation, I wanted immediate results in the colour of our thinking for it to incur some understanding of the nature of gravity at the energies involved.

    It had to be immediate, and the discrimination of the photon in it's colour was a necessary feature of knowing the particle energies as well in the nature of the gravity. You had to move to a "fifth dimensional perspective" electromagnetism plus gravity, in order to follow what I am saying.

    Quantum Effect, however allow a manifold to change state abruptly at some point-to tunnel through the intervening ridge to a nearby lower valley.


    Beyond the 3+1 of Spacetime

    So we have moved to the holographic principle and the understanding about the shadows? Again, I return to the context of the pyramid here in this post. I am also revealing an aspect of this geometrical feature that sits at the basis of my thinking when it come to geometrical interpretation.

    While the "pyramid is a solid," there is a Sun that shines, and shadows cast from that pyramid we become aware of the "rays of that Sun." The Sun is a very important feature of Plato's Cave, as well as seeing it's use in the Giza Complex.

    So I gave you a map above.

    I would like you all to know that "carbon dating" is a science in itself.

    Carbon dating was developed by a team led by Willard Libby. Originally a carbon-14 half-life of 5568±30 years was used, which is now known as the Libby half-life. Later a more accurate figure of 5730±40 years was determined, which is known as the Cambridge half-life. However laboratories continue to use the Libby figure to avoid inconsistencies when comparing raw dates and when using calibration curves to obtain calendrical dates.


    But in this model, I am assuming that the "time clock" assigned to the archaeology of the Pyramid is much different then the one we currently see in current literature. Just from this point alone you could depart. But please, stay around a little bit, so I can show how the model of the pyramid was used as a Sun Dial. How the structures were following "the times" in progression? An interesting story nonetheless?

    I have the issues of the meme's in people's experiences to draw upon. How mankind's development in it's observation were gained from what the sun could do to the objects of our world. Given in our youth, a compass of Einstein or a License plate revealing symmetry, or a lamp shade that sends it's line, as a shadow across one's living room. Dust particles that announce themselves once the "ray of light" is invoked?

    Hi Q9

    Plato:
    If you "step back from the article" I am placing a lot of things for consideration.

    I am trying to give one "the flavour" of the past, which we know is very difficult at best to describe, as any taste incurred from consuming and digesting foods.

    Current issues on the landscape? Tunnelling? Time travel? Tunnelling in faster then light?


    I include this response in this post article so that I could answer you immediately. It seems Haloscan is not working?

    Hi Q9

    Great Pyramid was built inside out, Frenchman says-Post

    The term "landscape" comes from evolutionary biology (see Fitness landscape) and was first applied to cosmology by Lee Smolin in his book.[11] It was first used in the context of string theory by Susskind.[12] There are several popular books about the anthropic principle in cosmology.[13] Two popular physics blogs are opposed to this use of the anthropic principle.[14]


    See String theory landscape

    Dumbo is a 1941 animated feature film produced by Walt Disney and first released on October 23, 1941 by RKO Radio Pictures. The fourth film in the Disney animated features canon, Dumbo is based upon a children's book of the same name by Helen Aberson and illustrated by Harold Perl based on true events. The main character is Jumbo Jr., a semi-anthropomorphic elephant who is cruelly nicknamed Dumbo. He is ridiculed for his big ears, but it turns out that he is capable of flying by using them as wings. His only friend is the mouse Timothy, parodying the stereotypical animosity between mice and elephants. Dumbo was a deliberate exercise in simplicity and economy for the Disney studio, and is today considered one of its finest films.

    See "Pink Elephant"

    A reference to pink elephants occurs in the 1941 Disney animated classic Dumbo. Dumbo, having taken a drink of water from a bucket spiked with moonshine, begins to hallucinate singing and dancing "Pink Elephants on Parade."


    One should not assume that heighten perception refers to "some state of being" other then what is normal? :)

    Some see non euclidean geometries at work, does not make you special?

    Although such an attribute discovered to me was exceptional. It has it's history though, that cannot be overlooked.

    Yet, it is relevant to "projective geometries" and how these arose. So Hilbert saids a list of 23 problems and one of them is "continuity?" What kind of geometry is that? :)

    Yet too, should we move so far from what is "solidified in our world," to have said, there cannot exist the designs of geometry that describe this object? Some model? Reveals, aspect of the sociological side of our interactions, that we could have excelled to become better human beings?

    Imagine some people draw mountains when in class and are bored with the lecture, or others, dream of some far off places in thought. Why not that such a gravity be included in all peoples thought to have them colour their lives accordingly?

    The hard example supplied is Susskind's elephant and entanglement in relation too, what is in the blackhole and what is outside, by describing the horizon. It's colour.

    Surely the colour of the gravity can be revealed by such entanglement? You may think a "blackhole in technology" while I am thinking, that by it's very nature, the history of that time allowed us to view it? How so?



    Rocket Science

    I am having problems trying to respond in Haloscan Q9. So what's that saying, "It's not Rocket Science?"

    Now look here:) We now know that Susskind's elephant is "not Pink" and it is not "Dumbo." :) The elephant we are talking about, while still held to "blind men" holding parts of the reality, there is a serious question here about what quantum gravity is. So I have given perspective to what we shall see in terms of colour and the blackhole. All the while I was still speaking about Quantum Gravity.

    There’s a place from which nothing escapes, not even light, where time and space literally come to end. It’s at this point, inside this fantastic riddle, that black holes exert their sway over the cosmos … and our imaginations. See Breakthrough Propulsion Physics?

    There are different processes out there to which Quantum gravity is being model according to other perspectives. What comes of those persepctives if they have been consumed by their modelled approaches, that they say, "I have the tail" or, "I have the ear." We are still all blind as hell. But it's fun to create the language, new models, new perspectives to help understand our place in the world. Not to continue to perpetuate illusions we all like to create, but ways in which to speak to what is most troubling.

    The Blind Men and the Elephant-John Godfrey Saxe (1816-1887)

    So this brings me back to the Pyramid.

    So what is the calendar in this particular place and I would like to think that I could immerse myself in this windowed view of reality as to what once was. Say, that this television, is based on the nature of the Colour of gravity and that while we watch it. We had to take into consideration the quantum dynamical world that is trying to be spoken to in General Relativity, not just at the classical level, but at the quantum one as well.

    Lest I had taken you now to Banchoff and his wonderful 5d explanations of a 2d screen?

    Knowing the Giza Complex and the requirement of the Sun, it is now apparent that I will make a subtle exposure to the valuation of how the pyramid was orientated to the sociological aspects of Egyptian thinking.

    The Egyptians believed that a person's essence or soul was composed of several elements that at the point of death would become separate entities:

    The "ka"


    Should we be so foolish to think that the subtle aspect of our humanity could not operate on levels, other then the physical? I give you colour as a consequence of what transpires in life, and holds any person to the realm of their thinking. If they did not know that the gravity associated to every thought manifests as some colour in the disposition of the human body what becomes of the disposition of the soul?

    See the Name and Shadow