Tattoos

Let no one destitute of geometry enter my doors."

I never gave much thought to it before. I thought at this late stage in my life what affect could it possibly having coming now to the twilight years of my life? I have often thought of it over the years. While quite young and in the Armed Forces having gone through an intelligence program,  reference was made to identity markers and this had always stuck in my mind. But as I said that's not a issue. I now have set up an appointment.

So why that one? Regardless of it's age in terms of the Platonic solids...to me it is a foundational approach with which a mind thought to approach existence and reality of the world in which we live. So even if  it's not suitable from a lot of perspectives with regard to foundational approaches that is why I chose it as a descriptor, as it relates to the idea of geometries

One thing I noticed a lot about the young people that I have work around me is the different tattoos I have come to see on different individuals. As well as,  students who work along side for the summer months in order to make extra cash to help with their education. Help there parents with their educations.

Some of the most interesting were equations a young fellow had tattooed over his arms and back.

So I'll let you know come the time it is done. Any thoughts?

Cymascope

Vibration underpins all matter in the universe. No matter can exist without sound and vibration. To see the periodic motions that lie at the heart of matter is to lift the veils that conceal many mysteries of the universe. The CymaScope represents the first scientific instrument that can give us a visual image of sound and vibration - a cymatic image - helping us to understand our world and universe in ways previously hidden from view.

When the microscope and telescope were invented they opened vistas on realms that were not even suspected to exist. Cymascope

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The sand collected in nodal lines producing symmetrical patterns similar to Hookes flour on the glass plate. It is also important to note that this influenced Faraday in thinking about lines of force in magnetic in his electrical experiments.

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Ernst Florens Friedrich Chladni

Born in Wittenburg in Germany, Chladni's Father demanded that he study Law not science. He obtained his law degree in 1782 from Leipzig. After the death of his Farther he vigorously pursued his career in science. Chladni achieved recognition for his pioneering work in the mathematical analysis of acoustics. This research was built on the early experiments of Robert Hooke at Oxford University. On July 8th 1680 Hooke formed the experiment of glass vibrating 6.4.8. places. This was done by putting flour on a glass plate, and bowing on the edge of glass. Hooke had observed that the motion of the glass was vibrate perpendicular to the surface of the glass, and that the circular figure of the flour changed into an oval one way, and the reciprocation of it changed it into an oval the other way. This phenomenon was rediscovered by Chladni in the eighteenth century, and given his name "Chladni figures". What Chladni did was to take thin metal plates and cover them with sand and caused them to vibrate. The sand collected in nodal lines producing symmetrical patterns similar to Hookes flour on the glass plate. It is also important to note that this influenced Faraday in thinking about lines of force in magnetic in his electrical experiments.

The Classical Education Movement Historical

Seal of the University of Pennsylvania from 1894 depicting the trivium as a stack of books providing the foundation for a quadrivium of mathematics, natural philosophy (empirical science), astronomy, and theology.

The Classical education movement advocates a form of education based in the traditions of Western culture, with a particular focus on education as understood and taught in the Middle Ages.

The term "classical education" has been used in English for several centuries, with each era modifying the definition and adding its own selection of topics. By the end of the 18th century, in addition to the trivium and quadrivium of the Middle Ages, the definition of a classical education embraced study of literature, poetry, drama, philosophy, history, art, and languages.^[1] In the 20th and 21st centuries it is used to refer to a broad-based study of the liberal arts and sciences, as opposed to a practical or pre-professional program.^[1]

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Quadrivium(Medieval usage)

The subject of music within the quadrivium was originally the classical subject of harmonics, in particular the study of the proportions between the music intervals created by the division of a monochord. A relationship to music as actually practised was not part of this study, but the framework of classical harmonics would substantially influence the content and structure of music theory as practised both in European and Islamic cultures.

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By education, the divine essence of man may be unfolded, brought out, lifted into consciousness byFriedrich Fröbel

Sometimes one has to look behind a statement in order to see the depth that might be revealed and what the comment might be reacting too? So of course, I throw it out there,  to see what comes back.


Extra-Dimensions....What is Heaven Like?

Imagine a world with no Anti-Matter? No equatorial axiomatic expressions of the universe?:) Just plain, Dark and Dead.:) Walking over a bridge in visualization is escapism....while there exists another side to the question?

At 4:00 PM, June 25, 2011,  Phil Warnell said... The book I mentioned previously is an attempted construction of what perhaps this would have turned out to be. What I find as ultimately interesting is that is for each having and maintaining a true dialogue is the most critical requirement of science and philosophy more generally. So although they had opposing views about the relevancy of the foundations in seeking the truth, each agreed about one key aspect of its methodology, which is not an axiom, yet required as a prerequisite before any can be postulated or denied there being necessity to do so.(Bold added for emphasis by me)

So while waiting for a response....it is understood that such "a schematic" was realized by this author for what may be expletive for that which reads,"which is not an axiom" as to reveal some bias by this author of discoveries about "deep play thinking." About subjects at hand, and the journey one might want to take.

It was found to reveal the "same geometrical tendencies" that are inherent in the quest for such truth's as to the wording of,  writing and visualizing to advance, reveals a topographical relationship with the world around us. Why if it can exist in such equatorial description cannot such a dialogue exist within self? Where did it begin?;)

This dance of sorts of leading to self evident questions and answers, that lead to any apprehension of position for which too,  rebuttal the world, and paint a picture there of. Off handed statements do reveal positions.

See: The Socratic Method.....and Plato's Ideas, is Replaced by Google?

A General Guide to Harmonic Analysis and Beyond

Thanks to Clifford of Asymptotia for the Link too, and from Good Vibration

Some of us do look toward these analogies as signs of Complexity science, so as to apply this thinking to the life they lead. How such implementations allow them to look at this life very differently.

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Each time the operator tuned to a new frequency, the wave was very simple and repetitive, just as above. This wave can be expressed by only two qualities: frequency and amplitude, and yet each new frequency created a new and many times surprisingly different result than it’s neighbor.

This phenomenon is analogous to all aspects of Complexity Science. And just like the simple rules set by the speaker in the video, an economy can achieve surprisingly complex results with simple rule sets.Harmonic Science

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In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, F, proportional to the displacement, x:

where k is a positive constant.

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).
If a frictional force (damping) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator. Depending on the friction coefficient, the system can:

• Oscillate with a frequency smaller than in the non-damped case, and an amplitude decreasing with time (underdamped oscillator).
• Decay exponentially to the equilibrium position, without oscillations (overdamped oscillator).

If an external time dependent force is present, the harmonic oscillator is described as a driven oscillator.

Mechanical examples include pendula (with small angles of displacement), masses connected to springs, and acoustical systems. Other analogous systems include electrical harmonic oscillators such as RLC circuits. The harmonic oscillator model is very important in physics, because any mass subject to a force in stable equilibrium acts as a harmonic oscillator for small vibrations. Harmonic oscillators occur widely in nature and are exploited in many manmade devices, such as clocks and radio circuits. They are the source of virtually all sinusoidal vibrations and waves.

Simple Harmonic Motion Frequency

The frequency of simple harmonic motion like a mass on a spring is determined by the mass m and the stiffness of the spring expressed in terms of a spring constant k

The Landscape “avant la lettre” by A.N. Schellekens

The lowest harmonics correspond to the particles of the Standard Model, plus perhaps a few new particles. The higher harmonics correspond to an infinite series of particles that we can never observe, unless we can build a Planck Energy accelerator

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See Also:

The Sound The Universe Makes

Cymatics and the Heart Song

The Sound The Universe Makes

As most know who have come to visit here at this Blog site, my fascination with the ways in which "sensationally" and internally one might look at the universe. So of course as long as the science is there in terms of how we are interpreting events. Then,  using the underlying mechanism of that interpretation,  so that it is universally applied,  then you get to see nature in different ways.

For example, in 1704 Sir Isaac Newton struggled to devise mathematical formulas to equate the vibrational frequency of sound waves with a corresponding wavelength of light. He failed to find his hoped-for translation algorithm, but the idea of correspondence took root, and the first practical application of it appears to be the clavecin oculaire, an instrument that played sound and light simultaneously. It was invented in 1725. Charles Darwin’s grandfather, Erasmus, achieved the same effect with a harpsichord and lanterns in 1790, although many others were built in the intervening years, on the same principle, where by a keyboard controlled mechanical shutters from behind which colored lights shne. By 1810 even Goethe was expounding correspondences between color and other senses in his book, Theory of Color. Pg 53, The Man Who Tasted Shapes, by Richard E. Cytowic, M.D.

As a reader,  you will also see if you look deeper into this blog the historical relation of humanity always seeking to define the way we can look at nature whether it is expressed musicianly or artistically. Is to identify this deep seated need to understand the cosmos in ways that we might not of considered.

5 types of ATLAS event shape data

The data is first processed using the vast and all-powerful ATLAS software framework. This allows raw data (streams of ones and zeroes) to be converted step-by-step into ‘objects’ such as silicon detector hits and energy deposits. We can reconstruct particles using these objects. The next step is to convert the information into a file containing two or three columns of numbers known as a "breakpoint file". It can also be used as a "note list". This kind of file can be read by compositional software such as the Composers Desktop Project (CDP) and Csound software used for this project. See: How is Data Converted into Sounds

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Janna Levin

I want to ask you all to consider for a second the very simple fact that, by far, most of what we know about the universe comes to us from light. We can stand on the Earth and look up at the night sky and see stars with our bare eyes. The Sun burns our peripheral vision, we see light reflected off the Moon, and in the time since Galileo pointed that rudimentary telescope at the celestial bodies, the known universe has come to us through light, across vast eras in cosmic history. And with all of our modern telescopes, we've been able to collect this stunning silent movie of the universe -- these series of snapshots that go all the way back to the Big Bang.

And yet, the universe is not a silent movie, because the universe isn't silent. I'd like to convince you that the universe has a soundtrack, and that soundtrack is played on space itself. Because space can wobble like a drum. It can ring out a kind of recording throughout the universe of some of the most dramatic events as they unfold. Now we'd like to be able to add to a kind glorious visual composition that we have of the universe a sonic composition. And while we've never heard the sounds from space, we really should, in the next few years, start to turn up the volume on what's going on out there. See: Janna Levin: The sound the universe makes

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Radar echos from Titan's surface

This recording was produced by converting into audible sounds some of the radar echoes received by Huygens during the last few kilometers of its descent onto Titan. As the probe approaches the ground, both the pitch and intensity increase. Scientists will use intensity of the echoes to speculate about the nature of the surface.

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Gravity is talking. LISA will listen.

The Cosmos sings with many strong gravitational voices, causing ripples in the fabric of space and time that carry the message of tremendous astronomical events: the rapid dances of closely orbiting stellar remnants, the mergers of massive black holes millions of times heavier than the Sun, the aftermath of the Big Bang. These ripples are the gravitational waves predicted by Albert Einstein's 1915 general relativity; nearly one century later, it is now possible to detect them. Gravitational waves will give us an entirely new way to observe and understand the Universe, enhancing and complementing the insights of conventional astronomy.

See:What Does Gravity Sound Like?

       Gravitational Wave Detectors are Best Described as "Sounds.

See Also: LHC sound

Body Self Perception

Body Self  Perception

For me it is sort of like trying to define the space around you and the depth perception one has of that space. It is also about location and whether awareness can pick up on other thing happening within that environment,
 while circumvented to the virtual reality.

This idea is one where I developed the term Topo-sense as a geometrical exercise of the awareness to move itself in complex organizational movements,  as if being lead by some geometrical mapping. Mathematically this seemed correlative in the construction of geometrical movements , as well "the archiving" and unfolding of geometrical form. Why Arizona might be of importance?

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"What's Your Law?"



Damasio's First Law The body precedes the mind.

Damasio's Second Law Emotions precede feelings.

Damasio's Third Law Concepts precede words.

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Michael Persinger has a vision - the Almighty isn't dead, he's an energy field. And your mind is an electromagnetic map to your soul.

It is necessary to look at the space around you understanding self awareness can extend itself into that space.

"The Mind is Inherently Embodied"

Our brains take their input from the rest of our bodies. What our bodies are like and how they function in the world thus structures the very concepts we can use to think. We cannot think just anything - only what our embodied brains permit."

I want science of course and all we are doing is playing with mind, and mapping the condensation result of mind at work in the biological system?

You see how one can change parameters, one can see things differently?

The inductive/deductive phase is really "an interaction" with the world around you. A topological change? Toposense? Turning yourself inside/out and back again.

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What we have learned

We have found consciousness can be described as an emergent property of the complex electromagnetic process generated from predictable biochemical and biological processes. Although the terms soul and mind may have been useful at one time to describe this process, they are no longer required. They are more like the term "phlogiston" that was employed to describe why things burned before modern chemistry emerged. When there is no electrical current moving through the parts of a television, there is no picture. When the specific electromagnetic patterns are not generated within the brain structures there is no consciousness or awareness.

Some individuals with very different brain structures show different electromagnetic correlates that are associated with their ability to discern stimuli others cannot detect. Counter clockwise rotation of weak magnetic fields around the skull at specific rates of change (derivatives) can affect subjective time and allow the average person to experience many of the altered states reported by practitioners of mystical traditions as well as "paranormal" phenomena. The critical variables, like any chemical reaction, are the complexity and specificity of the temporal parameters. One component of consciousness may be "sequestered" within second or third derivatives of very narrow bands of changes in frequency within the theta range. Our calculations of resonance, based upon the power changes within quantitative electroencephalographic measures, suggest that one electromagnetic source of consciousness may actually exist within the 10 cm region outside of and surrounding the cranium.

Link now dead.

Of course one might want to be connected to how the parameters here in this blog were developed, so as to change how science currently does it?

Here again(your awareness of a red light bulb while in virtual reality can consciously penetrate) what you cannot see in the science of "in that space" is the interactive reality of what our emotions emit, or, what we demonstrate intellectually. Let's just say it is colored for emphasis, and that there is a method, just that we have not developed the science to see in such ways? "Not just the biological result of" looking through our measure fMRI?

With the parameter change given read these books and see how from my perspective things appear differently?  An alternate reality?

I am not saying you have to accept it, just that you look at the space I am talking about and how we may place light bulbs, as if to see if our conscious can penetrate through the virtual,  that it can exist outside of the body. This the central idea of what I am saying.

That the excelling of principle and your soul's desire for such perfection is ultimately contained within you and within the environment you work and live. Can exist in as a type of consciousness apart from the body itself.

While such generalizations are not accepted in science, it is food for thought that I give in consideration.

TAUWER Test

TAUWER is a proposed astroparticle experiment to detect ultrahigh energy TAU neutrinos, using detector towers arrayed on a mountainside looking down into a valley. This test is to study the possibility of replacing Hamamatsu miniature PMTs with SiPMs for readout by determining the response of scintillation detectors with SiPM readout to low energy electrons, 2 GeV or lower, as the beam will provide. The detector itself is a compact package, previously used in a parasitic test beam run on December 15, 2010, to compare the relative timing of the signals from three counters for Minimized Ionized Particles.

The experiment will take some electron data with 1.5 cm of Pb in front of counter 2 or counter 3, and without the Pb for calibration purposes. The three scintillators are 0.7, 1.4, and 0.7 cm thick, each 19 x 19 cm square. Each has a single SiPM readout, seen in the picture. The SiPM operating voltage is 34 volts. This is introduced by BNC cables from power supplies in the electronics area. The red and white wires adapt the BNC cable to separate power and ground leads for the center counter. The SiPM signals are taken on RG174 cables to a local waveform digitizer (DRS4) adjacent to the optical box. The DRS4 is controlled by a PC located in the beam enclosure, operated remotely from the control room.
Name of Experiment:TAUWER Test

See Also: TAUWER aims for cosmic heights

A Conformal Field Theory Approach?

Using the anti–de Sitter/conformal field theory correspondence to relate fermionic quantum critical fields to a gravitational problem, we computed the spectral functions of fermions in the field theory. By increasing the fermion density away from the relativistic quantum critical point, a state emerges with all the features of the Fermi liquid. See:String Theory, Quantum Phase Transitions, and the Emergent Fermi Liquid

Spacetime in String Theory Dr. Gary Horowitz, UCSB

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Conformal Field Theory

A conformal field theory is a quantum field theory (or statistical mechanics model at the critical point) that is invariant under the conformal group. Conformal field theory is most often studied in two dimensions where there is a large group of local conformal transformations coming from holomorphic functions.

If your not sure what I mean,  have a look at what is happening on the surface of the sphere, as a means from which  a 2D description,  is describing the black hole in a 5d space. Have you seen this image before?

String theorists describe the physics of black holes in five-dimensional spacetime. They found that these five-dimensional objects provide a good approximation of the quark-gluon plasma in one fewer dimension, a relationship similar to the one between a three-dimensional object and its two-dimensional shadow. Image: SLAC National Accelerator Laboratory

Recreating the conditions present just after the Big Bang has given experimentalists a glimpse into how the universe formed. Now, scientists have begun to see striking similarities between the properties of the early universe and a theory that aims to unite gravity with quantum mechanics, a long-standing goal for physicists.

“Combining calculations from experiments and theories could help us capture some universal characteristic of nature,” said MIT theoretical physicist Krishna Rajagopal, who discussed these possibilities at the recent Quark Matter conference in Annecy, France.

One millionth of a second after the Big Bang, the universe was a hot, dense sea of freely roaming particles called quarks and gluons. As the universe rapidly cooled, the particles joined together to form protons and neutrons, and the unique state of matter known as quark-gluon plasma disappeared.See: String theory may hold answers about quark-gluon plasma

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Bekenstein Bound 

TWO UNIVERSES of different dimension and obeying disparate physical laws are rendered completely equivalent by the holographic principle. Theorists have demonstrated this principle mathematically for a specific type of five-dimensional spacetime ("anti–de Sitter") and its four-dimensional boundary. In effect, the 5-D universe is recorded like a hologram on the 4-D surface at its periphery. Superstring theory rules in the 5-D spacetime, but a so-called conformal field theory of point particles operates on the 4-D hologram. A black hole in the 5-D spacetime is equivalent to hot radiation on the hologram--for example, the hole and the radiation have the same entropy even though the physical origin of the entropy is completely different for each case. Although these two descriptions of the universe seem utterly unalike, no experiment could distinguish between them, even in principle. by Jacob D. Bekenstein

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Consider any physical system, made of anything at all- let us call it, The Thing. We require only that The Thing can be enclosed within a finite boundary, which we shall call the Screen(Figure39). We would like to know as much as possible about The Thing. But we cannot touch it directly-we are restrictied to making measurements of it on The Screen. We may send any kind of radiation we like through The Screen, and record what ever changes result The Screen. The Bekenstein bound says that there is a general limit to how many yes/no questions we can answer about The Thing by making observations through The Screen that surrounds it. The number must be less then one quarter the area of The Screen, in Planck units. What if we ask more questions? The principle tells us that either of two things must happen. Either the area of the screen will increase, as a result of doing an experiment that ask questions beyond the limit; or the experiments we do that go beyond the limit will erase or invalidate, the answers to some of the previous questions. At no time can we know more about The thing than the limit, imposed by the area of the Screen.

Page 171 and 172 0f, Three Roads to Quantum Gravity by Lee Smolin

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Juan Maldacena:

The strings move in a five-dimensional curved space-time with a boundary. The boundary corresponds to the usual four dimensions, and the fifth dimension describes the motion away from this boundary into the interior of the curved space-time. In this five-dimensional space-time, there is a strong gravitational field pulling objects away from the boundary, and as a result time flows more slowly far away from the boundary than close to it. This also implies that an object that has a fixed proper size in the interior can appear to have a different size when viewed from the boundary (Fig. 1). Strings existing in the five-dimensional space-time can even look point-like when they are close to the boundary. Polchinski and Strassler1 show that when an energetic four-dimensional particle (such as an electron) is scattered from these strings (describing protons), the main contribution comes from a string that is close to the boundary and it is therefore seen as a point-like object. So a string-like interpretation of a proton is not at odds with the observation that there are point-like objects inside it.

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Holography encodes the information in a region of space onto a surface one dimension lower. It sees to be the property of gravity, as is shown by the fact that the area of th event horizon measures the number of internal states of a blackhole, holography would be a one-to-one correspondance between states in our four dimensional world and states in higher dimensions. From a positivist viewpoint, one cannot distinquish which discription is more fundamental.

Pg 198, The Universe in Nutshell, by Stephen Hawking

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In 1919, Kaluza sent Albert Einstein a preprint --- later published in 1921 --- that considered the extension of general relativity to five dimensions. He assumed that the 5-dimensional field equations were simply the higher-dimensional version of the vacuum Einstein equation, and that all the metric components were independent of the fifth coordinate. The later assumption came to be known as the cylinder condition. This resulted in something remarkable: the fifteen higher-dimension field equations naturally broke into a set of ten formulae governing a tensor field representing gravity, four describing a vector field representing electromagnetism, and one wave equation for a scalar field. Furthermore, if the scalar field was constant, the vector field equations were just Maxwell's equations in vacuo, and the tensor field equations were the 4-dimensional Einstein field equations sourced by an EM field. In one fell swoop, Kaluza had written down a single covariant field theory in five dimensions that yielded the four dimensional theories of general relativity and electromagnetism. Naturally, Einstein was very interested in this preprint .(sorry link now dead)

Extra-Dimensions....What is Heaven Like?

Fidel wrote:

And yet modern science says it's not so silly, and that many things are possible now that were deemed not to be in relatively recent history.

That statement Fidel might be one that is not true. Extra-dimensions is a contentious one and is in the process of being proofed at LHC(search for Higgs). The romance one might associate with it, can be dreamily stated as to imply "other worlds or parallel universes," but that is not what is being examined in the science of it.

In geometry, the tesseract, or hypercube, is a regular convex polychoron with eight cubical cells. It can be thought of as a 4-dimensional analogue of the cube. Roughly speaking, the tesseract is to the cube as the cube is to the square.

  Generalizations of the cube to dimensions greater than three are called hypercubes or measure polytopes. This article focuses on the 4D hypercube, the tesseract.

While not a scientist myself and a layman to boot, I have followed these scientists trying to gather their thoughts.

Penrose's Influence on EscherDuring the later half of the 1950’s, Maurits Cornelius Escher received a letter from Lionel and Roger Penrose. This letter consisted of a report by the father and son team that focused on impossible figures. By this time, Escher had begun exploring impossible worlds. He had recently produced the lithograph Belvedere based on the “rib-cube,” an impossible cuboid named by Escher (Teuber 161). However, the letter by the Penroses, which would later appear in the British Journal of Psychology, enlightened Escher to two new impossible objects; the Penrose triangle and the Penrose stairs. With these figures, Escher went on to create further impossible worlds that break the laws of three-dimensional space, mystify one’s mind, and give a window to the artist heart.

 

Flatland thinking( a race of rebels)or, artist geometrical impressionism of Dali or Escher(Penrose's Influence on Escher,) the Cubists("Monte Carlo methods" in relation to the scientists search for quantum gravity,) may help to extend the thinking around such parameters, while we here dreamily ask the question of, What is heaven like?

Such mathematical equations may constrict the thinker, while others creatively are not so tightly held. Visual thinkers are not? They rely on the conceptual creations of mathematics....and their repeatability in modern verse.

Arthur Miller

Miller has since moved away from conventional history of science, having become interested in visual imagery through reading the German-language papers of Einstein, Heisenberg and Schrödinger - "people who were concerned with visualization and visualizability". Philosophy was an integral part of the German school system in the early 1900s, Miller explains, and German school pupils were thoroughly trained in the philosophy of Immanuel Kant.

While we examine the features in our heads as visualization of heaven, this is part and parcel of what a good man like Dirac was able to do in terms of not only writing algebraic equations but was also very good at "visual imagery" as well. This balance is important....while I can only dream of being the mathematical expert as well to proof my own statements. But we have others who will help?.....ah no?....that's okay.

Imagine a world with no Anti-Matter? No equatorial axiomatic expressions of the universe?:) Just plain, Dark and Dead.:) Walking over a bridge in visualization is escapism....while there exists another side to the question?

The Socratic Method.....and Plato's Ideas, is Replaced by Google?

http://youtu.be/dk60sYrU2RU

The idea that truth is timeless and resides outside the universe was the essence of Plato's philosophy, exemplified in the parable of the slave boy that was meant to argue that discovery is merely remembering. Lee Smolin

 Bold added for me for emphasis....as well as saying that this philosophy is not "outside of time."

Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.

Yes no doubt. But as you look through the experiment present by Youtube something very important is realized that as a "data base" and Google's connection to it,  allow an excursion for children that we would want applied to "all thinking beings"  as  a vast resource made available to them, having considered the Grandmothers as part of the cloud of encouragement toward progressing and developing. Teachers can come in many forms?

So yes I see education in this way as well...but imagine if such a data base is taken away......imagine being devoid of the technology?

You want to see the children apply such a tool .....being devoid of the technology as to a method inherent in their own design and makeup which will grant them the same benefits as you would have,  having gone through such an experiment?

What did they learn that was algorithmic pleasing that Arthur C Clarke might embrace as to all teachers? Replace teachers with Grandmother Cloud?

These things are being considered now in the future development of education as I have research it.....but there is something deeper that must be transmitted that can only be done with the interaction of the teachers....while still accessing that data, you still need the teachers there.

Imagine a "gogle search feature" as the very last "self evident question." This is internal and not attached to the keyboard computerized developer algorithmic code,  but is a feature of the human being searching, looking for answers, and becoming their own teachers as well as students. This the independence you want transmitted to children from teachers, as well as too,  adults in my view. The teacher, and student are one.

You of course recognize the grounding factor...all I am saying is this inductive /deductive process is part of the need for individuals to excel, regardless of that technology.

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Logic is the art of thinking; grammar, the art of inventing symbols and combining them to express thought; and rhetoric, the art of communicating thought from one mind to another, the adaptation of language to circumstance.Sister Miriam Joseph

 Painting by Cesare Maccari (1840-1919), Cicero Denounces Catiline.

In medieval universities, the trivium comprised the three subjects taught first: grammar, logic, and rhetoric. The word is a Latin term meaning “the three ways” or “the three roads” forming the foundation of a medieval liberal arts education. This study was preparatory for the quadrivium. The trivium is implicit in the De nuptiis of Martianus Capella, although the term was not used until the Carolingian era when it was coined in imitation of the earlier quadrivium.^[1] It was later systematized in part by Petrus Ramus as an essential part of Ramism.

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The quadrivium comprised the four subjects, or arts, taught in medieval universities after the trivium. The word is Latin, meaning "the four ways" or "the four roads". Together, the trivium and the quadrivium comprised the seven liberal arts.^[1] The quadrivium consisted of arithmetic, geometry, music, and astronomy. These followed the preparatory work of the trivium made up of grammar, logic (or dialectic, as it was called at the times), and rhetoric. In turn, the quadrivium was considered preparatory work for the serious study of philosophy and theology.

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The Pyramid(as an expression of Liberal Arts Encapsulated) is a combination of  the Trivium , and  the Quadrivium

If you internalize this pyramidal structure then you realize what Plato was talking about in terms of "the idea" and how it can arrive at the peak. This is of course after giving education a  sincere scrutiny with all the tools applicable to what can become self evident? The "google search feature,"  is your connection to "vast potentials" and is accessible to all who are creative and endeavor to learn to understand the search for truth.

Oh My God Particles

"The soul is awestruck and shudders at the sight of the beautiful." Plato

Leon Max Lederman (born July 15, 1922) is an American experimental physicist and Nobel Prize in Physics laureate for his work with neutrinos. He is Director Emeritus of Fermi National Accelerator Laboratory (Fermilab) in Batavia, Illinois. He founded the Illinois Mathematics and Science Academy, in Aurora, Illinois in 1986, and has served in the capacity of Resident Scholar since 1998.

 The lessons of history are clear. The more exotic, the more abstract the knowledge, the more profound will be its consequences." Leon Lederman, from an address to the Franklin Institute, 1995

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Centaurus A - one of the closest galaxies with an active galactic nucleus - although it is over 10 million light years away. If you are looking for a likely source of ultra-high-energy cosmic rays - you may not need to look further. Credit: ESO.

Recent observations by the Pierre Auger Observatory have found a strong correlation between extragalactic cosmic rays patterns and the distribution of nearby galaxies with active galactic nuclei. Biermann and Souza have now come up with an evidence-based model for the origin of galactic and extragalactic cosmic rays – which has a number of testable predictions.


They propose that extragalactic cosmic rays are spun up in supermassive black hole accretion disks, which are the basis of active galactic nuclei. Furthermore, they estimate that nearly all extragalactic cosmic rays that reach Earth come from Centaurus A. So, no huge mystery – indeed a rich area for further research. Particles from an active supermassive black hole accretion disk in another galaxy are being delivered to our doorstep. See:Universe Today: Astronomy Without A Telescope – Oh-My-God Particles

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The links that follow below are dated and may be open to corrections with current data.


Oh-My-God particle

On the evening of October 15, 1991, an ultra-high energy cosmic particle was observed over Salt Lake City, Utah. Dubbed the "Oh-My-God particle" (a play on the nickname "God particle" for the Higgs boson), it was estimated to have an energy of approximately 3 × 1020 electronvolts, equivalent to about 50 joules—in other words, it was a subatomic particle with macroscopic kinetic energy, comparable to that of a fastball, or to the mass-energy of a microbe. It was most likely a proton travelling with almost the speed of light (in the case that it was a proton its speed was approximately (1 - 4.9 × 10-24)c – after traveling one light year the particle would be only 46 nanometres behind a photon that left at the same time) and its observation was a shock to astrophysicists.

Since the first observation, by the University of Utah's Fly's Eye 2, at least fifteen similar events have been recorded, confirming the phenomenon. The source of such high energy particles remains a mystery, especially since interactions with blue-shifted cosmic microwave background radiation limit the distance that these particles can travel before losing energy (the Greisen-Zatsepin-Kuzmin limit).

Because of its mass the Oh-My-God particle would have experienced very little influence from cosmic electromagnetic and gravitational fields, and so its trajectory should be easily calculable. However, nothing of note was found in the estimated direction of its origin.

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If some of physicists' favourite theories about extra dimensions are correct, it would also be possible for high-energy cosmic-ray particles from space to create black holes when they collide with molecules in the Earth's atmosphere. These black holes would be invisibly small, with a mass of only 10 micrograms or so. And they would be so unstable that they would explode in a burst of particles within around a billion-billion-billionth of a second.

One of the mysterious "Centauro" events seen by the Brazil ­Japan collaboration operating X-ray emulsion chambers at an altitude of 5200 m on Mt Chacaltaya in the Bolivian Andes. Given the number of hadrons seen in the lower chamber (left) physicists are intrigued by the relative lack of corresponding electromagnetic effects in the upper chamber (right).

Can Centauros or Chirons be the first observations
of evaporating mini Black Holes?

Among the various extensions of the Standard Model to energies beyond 1 TeV, one of the most attractive alternatives to the (Supersymmetric?) Great Desert Scenario is the TeV-gravity hypothesis with large extra dimensions [1]. According to it, matter particles and vector gauge bosons are open-string excitations, attached to a 3-brane (our world), which is embedded into compactified D-dimensional bulk space, where the closed-string excitations, including gravity, can propagate. This is the simplest possibility. Specific realizations of this idea and alternative scenaria may be found in [2]. Apart from a certain philosophic and aesthetic attraction of such models, they lead to the exciting possibility of experimental discovery of unification of the Standard Model with Quantum Gravity within the next few years, in the forthcoming accelerator, neutrino and cosmic-ray experiments [3, 4, 5].

Moreover, one could even claim that Quantum Gravity phenomena are already present in existing cosmic-ray data [6]. In the present paper we shall argue that the long-known Centauro-like events (CLEs) may be due to the formation and subsequent evaporation of mini black holes (MBHs), predicted in TeV-gravity models.

See:

Donald Coxeter

Photo by Graham Challifour. Reproduced from Critchlow, 1979, p. 132.

"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."Harold Scott Macdonald (H. S. M.) Coxeter

While a layman in my pursuance and understanding of the nature of geometry, it is along the way we meet some educators who fire up our excitement. For me it is about the truth of what lies so close to the soul's ideal.

Michael Atiyah:

At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small and general relativity with the very large, many physicists feel that, for all practical purposes, there is no need to attempt such an ultimate unification. Others however disagree, arguing that physicists should never give up on this ultimate search, and for these the hunt for this final unification is the ‘holy grail’.

As if searching for a foundation principle, and highly subjective one in my case, I have been touched by example, as if to direct my attention to the early geometer.



Georg Friedrich Bernhard Riemann 1826 – 1866

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

To me this is one of the greatest achievements of mathematical structures that one could encounter, It revolutionize many a view, that been held to classical discriptions of reality.

In the quiet achievement of Riemann’s tutorial teacher Gauss, recognized the great potential in his student. On the curvature parameters, we recognize in Gauss’s work, what would soon became apparent? That we were being lead into another world for consideration?

XXV.  Gaussian Co-ordinates-click on Picture
Albert Einstein (1879–1955).  Relativity: The Special and General Theory.  1920.

So here we are, that we might in our considerations go beyond the global perspectives, to another world that Einstein would so methodically reveal in the geometry and physics, that it would include the electromagnetic considerations of Maxwell into a cohesive whole and beyond.


"Let no one destitute of geometry enter my doors."

The intuitive development that we are lead through geometrically asks us to consider again, how Riemann moved to a positive aspect of the universe?


See:Donald Coxeter: The Man Who Saved Geometry