Decomposable Limits of Definitions

With the discovery of sound waves in the CMB, we have entered a new era of precision cosmology in which we can begin to talk with certainty about the origin of structure and the content of matter and energy in the universeWayne Hu

There are ways in which I have “perceived the landscape” that may be more appealing to one with Bohmian views? The way in which the analogy of sound is used has deep implications not only in the avenues of expression made about the examples herein shown, but with Helioseismology’s as well, and the way in which we can interpret the sun as we look at it in a greater depth.

Phil Warnell said…

as chance serves to be nothing other then an incidental cause and relies on the existence of a realm of the “possible” and not one of the “probable”. By the way your mappings of hills and valleys are quite close to this vision as it represents the “wave” as one element of reality in the Bohmian view. All that remains to be added are the particles and the dynamics that exist in the wave that are relayed to or reacted to by the particles. The mystery does not exist only the ignorance and for some the truth of it being so.

It’s an exercise for me to look back over the ideas that had been going on in my mind, and observations being made about “energy stored” in a system. One would never have realized the similarities that “Colour of Gravity” implies, accepting the wave nature of the particle could have given perspective on the idea of consequence as we live our lives. Function humanly possible and the depth of these actions more tangible and though being subtle in the idea of a wave, has given matter states a place to reside given nodal definitions, just as the modular forms do, as they reside in the valleys.

How is it one sees in terms of Lagrangian views when you look out into space now that such congregation of the graviton gathered for it’s exemplary views on the nature of vibration.

A Chladni plate consist of a flat sheet of metal, usually circular or square, mounted on a central stalk to a sturdy base. When the plate is oscillating in a particular mode of vibration, the nodes and anti-nodes set up form a complex but symmetrical pattern over its surface. The positions of these nodes and anti-nodes can be seen by sprinkling sand upon the plates;

Potential

* The mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds. This mathematical formulation arises from the fact that, in physics, the scalar potential is irrotational, and thus has a vanishing Laplacian — the very definition of a harmonic function.
* In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in space, from which many important physical properties may be derived.
o Leading examples are the gravitational potential and the electric potential, from which the motion of gravitating or electrically charged bodies may be obtained.
o Many entities in physics may be described as vector fields, but it is often easier to work with the corresponding potentials as proxies for the fields themselves. For instance, some force fields exert forces on a body equal to the product of the field and some invariant scalar property of the body, such as the mass or charge. As a body moves through such a force field, it rises and falls in the field’s potential, gaining and losing energy through mechanical work. This exchange of energy allows the interaction to be analyzed in terms of simple laws of conservation of energy, without resorting to kinematics, which can be computationally difficult.
o In electrochemistry there are Galvani potential and Volta potential.
o The gravitational field is a notable example of such a field. The electric field also behaves this way in many cases, though in the general case it does not (see Electric potential and Faraday’s Law).
* Specific forces have associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawa potential.

Dr. Jenny’s cymatic images are truly awe-inspiring, not only for their visual beauty in portraying the inherent res-ponsiveness of matter to sound (vibration) but because they inspire a deep re-cognition that we, too, are part and parcel of this same complex and intricate vibrational matrix — the music of the spheres! These pages illumine the very principles which inspired the ancient Greek philosophers Heraclitus, Pythagoras and Plato, and cosmologists Giordano Bruno and Johannes Kepler.

Potential Energy

Potential energy is the energy which is stored. Potential energy exists when there is a force that tends to pull an object back towards some original position when the object is displaced. This force is often called a restoring force. The phrase ‘potential energy’ was coined by William Rankine.[1] For example, when a spring is stretched to the left, it exerts a force to the right so as to return to its original, un-stretched position. Or, suppose that a weight is lifted straight up. The force of gravity will try to bring it back down to its original position. The initial steps of stretching the spring and lifting the weight both require energy to perform. According to the principle of conservation of energy, energy cannot be created or destroyed; hence this energy cannot disappear. Instead it is stored as potential energy. If the spring is released or the weight is dropped, this stored energy will be converted into kinetic energy by the restoring force — elasticity in the case of the spring, and gravity in the case of the weight.

The more formal definition is that potential energy is the energy of position, that is, the energy an object is considered to have due to its position in space. There are a number of different types of potential energy, each associated with a particular type of force. More specifically, every conservative force gives rise to potential energy. For example, the work of elastic force is called elastic potential energy; work of gravitational force is called gravitational potential energy, work of the Coulomb force is called electric potential energy; work of strong nuclear force or weak nuclear force acting on the baryon charge is called nuclear potential energy; work of intermolecular forces is called intermolecular potential energy. Chemical potential energy, such as the energy stored in fossil fuels, is the work of Coulomb force during rearrangement of mutual positions of electrons and nuclei in atoms and molecules. Thermal energy usually has two components: the kinetic energy of random motion of particles and potential energy of their mutual positions.

As a general rule, the work done by a conservative force F will be

where ΔPE is the change in the potential energy associated with that particular force. The most common notations for potential energy are PE and U. It is important to note that electric potential (commonly denoted with a V for voltage) is not the same as electric potential energy.

We can’t actually hear gravational waves, even with the most sophisticated equipment, because the sounds they make are the wrong frequency for our ears to hear. This is similar in principle to the frequency of dog whistles that canines can hear, but are too high for humans. The sounds of gravitional waves are probably too low for us to actually hear. However, the signals that scientists hope to measure with LISA and other gravitational wave detectors are best described as “sounds.” If we could hear them, here are some of the possible sounds of a gravitational wave generated by the movement of a small body inspiralling into a black hole.

See:

  • The Sound of Gravitational Waves
  • The Sound of the Landscape
  • Nodes and Anti-nodes
  • Ways IN which To Perceive Landscape?
  • This entry was posted in Colour of Gravity, Helioseismology, nodal and tagged , , . Bookmark the permalink.

    15 Responses to Decomposable Limits of Definitions

    1. Phil Warnell says:

      Hi Plato,I can see you have been looking into the potential of potential. It is most certainly something that is widely ignored. The past is a record of it, the present formed of it, and the future dependant on it. So perhaps then this is what we call the dimension of time. That is not as the rest, which simply form the space required for the act to be played, yet is rather a space required for the act to be. Best,Phil

    2. Plato says:

      Phil:So perhaps then this is what we call the dimension of time. I think we can never realize what it is we are “exactly doing” until one brings the things that we are doing back into the truer light.We do not want to practise “escapism” and derive the virtual world as to disinherit our responsibilities we have toward each other, and to ourselves, in the pursuit of our goals. Not saying, that yours are the same as mine, yet, to ask about the content of, and wonder about the constructions is to define the elements of what exactly we had been doing, as we project ourselves using this medium.Experiencing “segregation by implementing intranets” was to isolate one from the outside world. To implement such processes, logins, and begin the presentation of knowledge, has it’s drawbacks, as I mentioned on Bee’s “blogging” experience with regards to laws and how this could become the detriment to actual sharing of information, knowing that one’s personal opinion could indeed serve to lead to firing from a position. It takes a certain bravery to come forward, but at the same time, we know by Lubos’s actions such boldness of character is not always the most certain way to go at Harvard or by persona opinion of Summers, by disregarding the character of others in our considerations. To become so “pompous” we forget how we can hurt others by the choice of words.I can show by historical information this to be so, yet, it would not be this that which I’d encourage in the development, but on the contrary, to continue to press for the “interest and development of knowledge,” for who is ever to share in this art of themselves for the benefit of others using this medium.

    3. PlatoHagel says:

      Phil:So perhaps then this is what we call the dimension of time. I think we can never realize what it is we are \”exactly doing\” until one brings the things that we are doing back into the truer light.We do not want to practise \”escapism\” and derive the virtual world as to disinherit our responsibilities we have toward each other, and to ourselves, in the pursuit of our goals. Not saying, that yours are the same as mine, yet, to ask about the content of, and wonder about the constructions is to define the elements of what exactly we had been doing, as we project ourselves using this medium.Experiencing \”segregation by implementing intranets\” was to isolate one from the outside world. To implement such processes, logins, and begin the presentation of knowledge, has it\’s drawbacks, as I mentioned on Bee\’s \”blogging\” experience with regards to laws and how this could become the detriment to actual sharing of information, knowing that one\’s personal opinion could indeed serve to lead to firing from a position. It takes a certain bravery to come forward, but at the same time, we know by Lubos\’s actions such boldness of character is not always the most certain way to go at Harvard or by persona opinion of Summers, by disregarding the character of others in our considerations. To become so \”pompous\” we forget how we can hurt others by the choice of words.I can show by historical information this to be so, yet, it would not be this that which I\’d encourage in the development, but on the contrary, to continue to press for the \”interest and development of knowledge,\” for who is ever to share in this art of themselves for the benefit of others using this medium.

    4. Phil Warnell says:

      Hi Plato,Please don’t take this wrong, yet once again I’m uncertain as how to respond. That is since at least for me what you say is so cryptic at times. It is true that I perceive to have the heart of a philosopher and yet the mind of a scientist. That is, although I hold philosophy and science often as to be simply different aspects of the same thing, my objectiveness holds sway over my subjectiveness, as I find this to be so important to reason. Therefore as such, it is not clear as to the point you are making or advice you offer. If it to warn me that openness has its price, I am fully aware of the implications. If it is to warn that to hold and promote views that favour openness and transparency, as to be counter to others thoughts and wishes, I have reason to hold such an opinion on which I would expand if asked. So then in terms of all this, I only ask you make yourself clear, so I might understand as to address your advice, concern and most importantly your position.Best,Phil

    5. Anonymous says:

      see here

    6. Plato says:

      Phil:That is since at least for me what you say is so cryptic at times.Sorry about that Phil. What is it called when there are “multiple meanings” intentionally expressed through a statement? Confusing?:)Phil:….my objectiveness holds sway over my subjectiveness,… A inductive/deductive approach is a self evident approach to the decomposable definition. While some would think I would put the subjective ahead of, I am concerned with “the approach that you have as well in regards, to the scientist and the philosopher.That I would hold this position as well. Do not be afraid to voice what is troubling while asking me to be accountable.Phil:I have reason to hold such an opinion on which I would expand if asked.Please do.Just some points with regards to Richard Stallman.Non-free librariesA non-free library that runs on free operating systems acts as a trap for free software developers. The library’s attractive features are the bait; if you use the library, you fall into the trap, because your program cannot usefully be part of a free operating system. (Strictly speaking, we could include your program, but it won’t run with the library missing.) Even worse, if a program that uses the proprietary library becomes popular, it can lure other unsuspecting programmers into the trap.It was the dependency on blogosphere under the auspice of Google that had me concerned. We use the framework, and like mathematics, it is the basis of, where the discussions with concepts take place. Are we really “free” under the quote supplied?The ClassroomWhile subjective in the idea of an old one being meet, I would say, it is the higher self that we connect too, is a very wise aspect of our souls. That allows predictability when thought about what is presented.Why Ramanujan is always presented in terms of what comes from the subconscious.It made me think of the commercial where this fellow white beard and expressing angelic appearance of radiance walks into the car dealership.Why do I tell you this? It because we send our souls on a journey every time we enter the world of the internet. I believe that a time will come for us all to discard the body and find that such things like the higgs, are examples of the things that of “like mind” will come home to roost.

    7. PlatoHagel says:

      Phil:That is since at least for me what you say is so cryptic at times.Sorry about that Phil. What is it called when there are \”multiple meanings\” intentionally expressed through a statement? Confusing?:)Phil:….my objectiveness holds sway over my subjectiveness,… A inductive/deductive approach is a self evident approach to the decomposable definition. While some would think I would put the subjective ahead of, I am concerned with \”the approach that you have as well in regards, to the scientist and the philosopher.That I would hold this position as well. Do not be afraid to voice what is troubling while asking me to be accountable.Phil:I have reason to hold such an opinion on which I would expand if asked.Please do.Just some points with regards to Richard Stallman.Non-free librariesA non-free library that runs on free operating systems acts as a trap for free software developers. The library\’s attractive features are the bait; if you use the library, you fall into the trap, because your program cannot usefully be part of a free operating system. (Strictly speaking, we could include your program, but it won\’t run with the library missing.) Even worse, if a program that uses the proprietary library becomes popular, it can lure other unsuspecting programmers into the trap.It was the dependency on blogosphere under the auspice of Google that had me concerned. We use the framework, and like mathematics, it is the basis of, where the discussions with concepts take place. Are we really \”free\” under the quote supplied?The ClassroomWhile subjective in the idea of an old one being meet, I would say, it is the higher self that we connect too, is a very wise aspect of our souls. That allows predictability when thought about what is presented.Why Ramanujan is always presented in terms of what comes from the subconscious.It made me think of the commercial where this fellow white beard and expressing angelic appearance of radiance walks into the car dealership.Why do I tell you this? It because we send our souls on a journey every time we enter the world of the internet. I believe that a time will come for us all to discard the body and find that such things like the higgs, are examples of the things that of \”like mind\” will come home to roost.

    8. Plato says:

      One question to ask of you.Do you understand “the reference to the title” of this blog entry?

    9. PlatoHagel says:

      One question to ask of you.Do you understand \”the reference to the title\” of this blog entry?

    10. Plato says:

      The Cathedral and the Bizzare by Eric Raymond.CM(Colin McGregor): Could you briefly tell us about your role in helping to convince Netscape to release the source code for their web browser (which now forms the basis for Mozilla)?ESR(Eric S Raymond): I didn’t know about my role at the time the decision was being made. The CEO of the company, Jim Barksdale, cited my paper as an inspiration at the press conference announcing it.

    11. PlatoHagel says:

      The Cathedral and the Bizzare by Eric Raymond.CM(Colin McGregor): Could you briefly tell us about your role in helping to convince Netscape to release the source code for their web browser (which now forms the basis for Mozilla)?ESR(Eric S Raymond): I didn’t know about my role at the time the decision was being made. The CEO of the company, Jim Barksdale, cited my paper as an inspiration at the press conference announcing it.

    12. Phil Warnell says:

      Hi Plato,“Do you understand “the reference to the title” of this blog entry?”If you mean “decomposable limits of definitions”, no not really. If you ask me what it means, it is to describe how far one can break down the definition of something. If you ask me how this is explained or what relation it has to potential, I haven’t a clue. I find often what you say in relation to the subject matter goes off on a tangent and although the content interesting I find difficulty in finding a correlation. Perhaps I’m just too thick or it is as a consequence of age, yet I have to admit the thought process is far too non lineal for me to often follow.Best,Phil

    13. Plato says:

      Phil:If you ask me how this is explained or what relation it has to potential, I haven’t a clue.There is a “cognitive realization” about which I tried to make a point of, and it is obvious I have been unsuccessful, even showing Bee about Tegmark and the Mathematical Universe. Others, that I understand the essential element needed. I understand that concept development has a basis in this mathematics. That the concepts have derivatives based in that mathematics.A VIEW OF MATHEMATICS by Alain CONNESMost mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world” whose existence they don’t have any wish to question, and whose structure they uncover by a mixture of intuition, not so foreign from poetical desire”, and of a great deal of rationality requiring intense periods of concentration.Each generation builds a mental picture” of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality……..and again.Alain ConnesWhere a dictionary proceeds in a circular manner, defining a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element”, a kind of elementary particle” of thought with a minimal amount of ambiguity in their definition.The title “Decomposable Limits of Definitions” is in reference to Alain Connes. although the content interesting I find difficulty in finding a correlation.Ya, I guess it’s true then, some writers are better then others, and I am not one of them.:)

    14. PlatoHagel says:

      Phil:If you ask me how this is explained or what relation it has to potential, I haven’t a clue.There is a \”cognitive realization\” about which I tried to make a point of, and it is obvious I have been unsuccessful, even showing Bee about Tegmark and the Mathematical Universe. Others, that I understand the essential element needed. I understand that concept development has a basis in this mathematics. That the concepts have derivatives based in that mathematics.A VIEW OF MATHEMATICS by Alain CONNESMost mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world\” whose existence they don\’t have any wish to question, and whose structure they uncover by a mixture of intuition, not so foreign from poetical desire\”, and of a great deal of rationality requiring intense periods of concentration.Each generation builds a mental picture\” of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality.…….and again.Alain ConnesWhere a dictionary proceeds in a circular manner, defining a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element\”, a kind of elementary particle\” of thought with a minimal amount of ambiguity in their definition.The title \”Decomposable Limits of Definitions\” is in reference to Alain Connes. although the content interesting I find difficulty in finding a correlation.Ya, I guess it\’s true then, some writers are better then others, and I am not one of them.:)

    Leave a Reply

    Fill in your details below or click an icon to log in:

    WordPress.com Logo

    You are commenting using your WordPress.com account. Log Out /  Change )

    Google photo

    You are commenting using your Google account. Log Out /  Change )

    Twitter picture

    You are commenting using your Twitter account. Log Out /  Change )

    Facebook photo

    You are commenting using your Facebook account. Log Out /  Change )

    Connecting to %s