A Clear Presence

Can one miscontstrue your words even more? :)

Lee Smolin said:

Of course if the theory is right-and we never assume so-we must show more. We must show that the ground state is semiclassical, by solving the dynamics. This is a hard problem, analogous to showing that the ground state of water is a solid. But as this is the focus of attention there are beginning to be significant, non-trivial results on how classical spacetime can emerge from a background independent quantum theory.

Jacques Distler:

But the mere possibility of such surprises should not reduce us to labelling every as-yet-not-experimentally-verified statement to the status of mere “opinion” or rank “speculation.”

While I am extreme with my "Angels and Demon" such comparative functions had not been limited too, the basics of such assumptions, but had indeed been dressed up by good science woman/man.

We all like a good story. Those, in regards to time travel or Contact like movie(science that is consulted as to the edge of what theoretcial positions had beem pushed).

Yet indeed even within the boundaries of work sciencetists bring here a division of what is hoped for, as a "reduced basis of assumption," could have been misleading as to the real science or not?

Is it illusion that we play with, that we would want the purity of thought manifested on the public scene, as warped mentalities of what many scientists would disgust them? This "clear presence?" An "open heart clear mind."

The story of Angel and demons has been misconstrued in science by very bright scientists, using the nature of right and wrong, as inherent features of negative and positive curvatures?

Taken to mean this theoretics and that, are indcative anomalies of the good and evil in society. Is it political? Or shall we play with the very concepts and misconstrue them for what they really are?

Raphael Rooms

The fog is immmense and greatly hides the idea of this clear presence. Opening good hearts and minds as to the attempts to get rid of the illusions that would take hold of society? Allow the greater vision of perspective, a picture, that had been piecemealed, to raise a reality of what the picutre is painted on, the room it sits in, and what each parts of it, are telling the story about the geometers of the world?

Angels and Demons

Now how could such good thinking minds have not seen that the publics understandings might have been warped by the very underpinnings of good science men/woman, and all the issues become some fictional story for what evils and saints can do for us.



So was it some distant function of creation that we should not recognize the negative effect of all "good things" that will emerge from the actions of what is revealled to us in our "rainbows and aurora's," that we would not seem pleased as to the emissions have to say in the wave forms that surround such things?

Can we hope to use antimatter as a source of energy? Do you feel antimatter could power vehicles in the future, or would it just be used for major power sources?

There is no possibility to use antimatter as energy "source". Unlike solar energy, coal or oil, antimatter does not occur in nature: we have to make every particle at the expense of much more energy than it can give back during annihilation.

You might imagine antimatter as a possible temporary storage medium for energy, much like you store electricity in rechargeable batteries. The process of charging the battery is reversible with relatively small loss. Still, it takes more energy to charge the battery than what you get back out of it. For antimatter the loss factors are so enormous that it will never be practical.

If we could assemble all the antimatter we've ever made at CERN and annihilate it with matter, we would have enough energy to light a single electric light bulb for a few minutes.

So while good thinking men and woman dance with the ideas of Einsteins geometrical propensities to answer thse functions, what spherical relation would have said, that for every sun that burns out, it will rejuvenate itself, by strict geometrical functions in anti-matter creation to bring forth this "new vision" of the world.

Create this wonderful unlimited resource of energies that exist around us now?

So again let's take this back to the Pierre Auger examination of what is taking place outside of the collider expeirments. While it is nice to have these controls, why were we not informed about the potentiality of what exists as you pursue your visons to the very beginnings of this universe? That this beginning would take place right next to you? Is this wrong that we not assign astronomical valuations to the very nature of our world now, as such interactions take place between the sun and earth? That in those compacted dimensions, such calculations would reveal the thinking of relative and mathematical entities, as signals of the events that can take place everyday around us as well.

Einstein was very revealling in what could be taken to a larger scale for what could split apart, so it is not so unlikely that ourvisions have been curtailled,just becuase we did not se the actions that could take plac ein a larger scenario?

So did Heisenberg see what was revealling towards these geometerical propensities, as events unfolded themselves?

Update:

if your foci is "string" enough, you might realize it is less than K=0 :)


All M.C. Escher works (c) 2001 Cordon Art BV - Baarn - the Netherlands. All rights reserved. www.mcescher.com

While some believe in positive curvatures they also understand that the inception could have a negative effect, yet it would not be "angel and demons" they espoused?

We are all better then that, right? There is a "greater whole" we are each part of? To further extend this empowerment beyond "good and evil in religion" think of sound then, and the related entry below. Maybe, it will have a certain resonance for you?

Music of the Spheres

About how the brain's neuronic vitalities of vison are enhanced, and related?

Wunderkammern

Paul Dirac and Geometrical Thinking?

Into the Antiworld was originally staged at CERN inside the underground cavern that houses the Delphi experiment, in which collisions between electrons and their antiparticles - positrons - are studied. That setting must have been awe-inspiring, particularly as the show closed. The audience would have been whisked from the wonder and novelty of Dirac's theory over 70 years ago to the sophisticated particle physics experiments of today that the discovery inspired. At CERN, the curtain behind the stage ripped apart to reveal the Delphi detector the performance ended - but the gigantic photograph of the Delphi experiment that concluded the show at the Bloomsbury worked surprisingly well.

Oh what fanfare and dance is given these genius's that we find the story ends with where the future begins.

The Quantum Theory of the Electron



Paul Dirac

When one is doing mathematical work, there are essentially two different ways of thinking about the subject: the algebraic way, and the geometric way. With the algebraic way, one is all the time writing down equations and following rules of deduction, and interpreting these equations to get more equations. With the geometric way, one is thinking in terms of pictures; pictures which one imagines in space in some way, and one just tries to get a feeling for the relationships between the quantities occurring in those pictures. Now, a good mathematician has to be a master of both ways of those ways of thinking, but even so, he will have a preference for one or the other; I don't think he can avoid it. In my own case, my own preference is especially for the geometrical way.

Can one distinguish something that is of nature as the basis of reality, and see this before it is algebraically written? Jacques mention where the intuitive lines ends and where the math begins.

So from this statement then, it would have been impossible for Dirac to know what the matrices would look before it was algebraically written?

If there is "no physics" and we are defining things from the horizon or boundary, then what geometry wil be revealing of this nature? Can it be concieved as it was by Dirac?

I was thinking of Lenny Susskinds picture of the rubber band in his mind after working hard to mathematically understand. Did comprehension come by way of his mathe equations or by geometriclaly viewing?

THE LANDSCAPE [12.4.03]
A Talk with Leonard Susskind

Einstein said he wanted to know what was on God's mind when he made the world. I don't think he was a religious man, but I know what he means.

Albrecht Dürer and The Magic Square



So the complexity of geometrical form would have been of value if we had seen the way that it might have taken that vision into the geometrical formations of spin orientated understandings? Isomorphic relations of the orbitals relations in cosmological events?

Oh My God Particle-Revisited

I just wanted to drop this link here for now.

The animation shows schematically the behavior of the gas molecules in the presence of a gravitational field. We can see in this figure that the concentration of molecules at the bottom of the vessel is higher than the one at the top of the vessel, and that the molecules being pushed upwards fall again under the action of the gravitational field.

Gerard "t Hooft:

The Holographical Mapping of the Standard Model onto the Blackhole Horizon

Interactions between outgoing Hawking particles and ingoing matter are determined by gravitational forces and Standard Model interactions. In particular the gravitational interactions are responsible for the unitarity of the scattering against the horizon, as dictated by the holographic principle, but the Standard Model interactions also contribute, and understanding their effects is an important first step towards a complete understanding of the horizon’s dynamics. The relation between in- and outgoing states is described in terms of an operator algebra. In this paper, the first of a series, we describe the algebra induced on the horizon by U(1) vector fields and scalar fields, including the case of an Englert-Brout-Higgs mechanism, and a more careful consideration of the transverse vector field components.

So we are still looking at the horizon here.

In reference to the God Particle. This was first revealed in the 1991 Fly's eye experiment.

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.

Why was it necessary to invoke God here as you did Wolfgang? This was around for some time, and now, such references have found their way into particle collisions perspectives? :)

Quantum gravity is the field devoted to finding the microstructure of spacetime. Is space continuous? Does spacetime geometry make sense near the initial singularity? Deep inside a black hole? These are the sort of questions a theory of quantum gravity is expected to answer. The root of our search for the theory is a exploration of the quantum foundations of spacetime. At the very least, quantum gravity ought to describe physics on the smallest possible scales - expected to be 10-³⁵ meters. (Easy to find with dimensional analysis: Build a quantity with the dimensions of length using the speed of light, Planck's constant, and Newton's constant.) Whether quantum gravity will yield a revolutionary shift in quantum theory, general relativity, or both remains to be seen

One needs to keep perspective on what is happening here, and as a layman, it is extremely difficult. Yet, do I seem to understand what these season vets are doing? More then just reading the NYT times for sure :)

The Fly's Eye and the Oh My God Particle John Ellis was instrumental in opening up perspective here. What is happening outside of collision reductionist processes of the colliders

Laying the Foundation with Respect

It is most certain that at this point the public would have been left behind, so is there a way to bring perspective at this point on where you are now?

I recognize the generalization and roads that lead to blackhole as a basis for considerations. What would draw ones atyemtion to this horizon. Lee Smolin in his book gave adequate discription that I just pointed out here.

Three Roads to Quantum Gravity, by Lee Smolin, pg 171


I know it might seem that if this conversation is now highlighting the intricacies of blackhole dynamics, then what exactly are you doing?



By giving a visual map of the Bekenstein Bound this help to direct my attention to the mapping that had been going on theorectically here.

Mine would definitiely be generalizations, but work by others lead to deeper insights.

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.

So what "tidbits" had already been out there then that would help.


Black Holes and Beyond:
Harvard's Andrew Strominger on String Theory

Quantum Micostates?

The old version of string theory, pre-1995, had these first two features. It includes quantum mechanics and gravity, but the kinds of things we could calculate were pretty limited. All of a sudden in 1995, we learned how to calculate things when the interactions are strong. Suddenly we understood a lot about the theory. And so figuring out how to compute the entropy of black holes became a really obvious challenge. I, for one, felt it was incumbent upon the theory to give us a solution to the problem of computing the entropy, or it wasn't the right theory. Of course we were all gratified that it did.

While this is a past issue for most of you it is leading in the direction you are talking I assume.


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 the 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

Gary T. Horowitz and Juan Maldacena,

The purpose of this note is to provide a possible answer to this question. Rather than the radical modification of quantum mechanics required for pure states to evolve into mixed states, we adopt a more mild modification. We propose that at the black hole singularity one needs to impose a unique final state boundary condition. More precisely, we have a unique final wavefunction for the interior of the black hole. Modifications of quantum mechanics where one imposes final state boundary conditions were considered in [6,7,8,9]. Here we are putting a final state boundary condition on part of the system, the interior of the black hole. This final boundary condition makes sure that no information is “absorbed” by the singularity.

While there is no "apparent relationship(?)" between microstate blackhole production and blackholes what would make one think that particle collsions can be written as dual blackholes?

Dmitri Ivanovich Mendeleev: The Law of Octaves

Dmitri Mendeleev in 1897

Courtesy Edgar Fahs Smith Memorial Collection, Department of Special Collections, University of Pennsylvania Library

Dmitri Ivanovich Mendeleyev (Russian: Дми́трий Ива́нович Менделе́ев listen ▶(?)) (8 February (O.S. 27 January) 1834 in Tobolsk – 2 February (O.S. 20 January) 1907 in Saint Petersburg), was a Russian chemist. He is renowned for being one of the two scientists who created the first version of the periodic table of elements. Unlike other contributors to the table, Mendeleyev managed to predict the properties of elements yet to be discovered. In several cases he even ventured to question the accuracy of the accepted atomic weights, arguing that they did not correspond to those predicted by the Periodic Law, and here too subsequent research proved him correct.

Now of course I have made some inferences here and who hasn't when it came to sound and it's values? I've explained this here.

But by exploring the value of the geometric forms, of the square, and the triangle these were simplistic analogies to earth(matter) and the triangle (energy) By simple addition of both these forms, and by looking at the value of Octave=do, re, mi, fa sol la ti do, etc. There had to be a injection point for this octave to ascend?

Now just take this as a story of the plot and look at what this plot is producing, not where science is, but of the easily converted analogies to the thinking of that sound in our universe can make to the elemental structure Mendeleev first sought out to map.

So by joining the square and the triangle, we see where "four triangles" are produced inthe form of the pyramid.

It also asks how can this idea of matter and energy have been sent to another octave, and hence an idealization of the Law of Octaves. So between mi and Fa, such injection would have lead any thinking to have wondered this associative function to what could transpire, if such a completion could have been modelled in the pyramid shape.

Four primary triangles that reprsent the basis of the transmutation of energy from the four lowers states of matter considerations to the triangles, and the ascension of vibrations readily asseted to be in the most rarified of "matter forms (particle reductionism)" associative with energy at this peak?

Proceedings of Societies [Report on the Law of Octaves]

Mr. JOHN A. R. NEWLANDS read a paper entitled "The Law of Octaves, and the Causes of Numerical Relations among the Atomic Weights."[41] The author claims the discovery of a law according to which the elements analogous in their properties exhibit peculiar relationships, similar to those subsisting in music between a note and its octave. Starting from the atomic weights on Cannizzarro's [sic] system, the author arranges the known elements in order of succession, beginning with the lowest atomic weight (hydrogen) and ending with thorium (=231.5); placing, however, nickel and cobalt, platinum and iridium, cerium and lanthanum, &c., in positions of absolute equality or in the same line. The fifty-six elements[42] so arranged are said to form the compass of eight octaves, and the author finds that chlorine, bromine, iodine, and fluorine are thus brought into the same line, or occupy corresponding places in his scale. Nitrogen and phosphorus, oxygen and sulphur, &c., are also considered as forming true octaves. The author's supposition will be exemplified in Table II., shown to the meeting, and here subjoined:--

Now such a colorful model of the pyramid to me in such oscillations mode seemed to reveall a dynamic form of color and it's variations. Is this what sound values of had left for us in our hydrogen spectrum mapped to see what energy valuation had occurred? The blacklines.

So it was not long, that such idealization about the value of sound might reveal it's consolidational effect, as we compared low and high sounds of value, to this spectrum. That low sounds were very matter orientated(consolidated), while high sound were very revealing of the vibratory function of energy valuations seen at the peak of that pyramid? The height of enrgy valuations in relation to particle reductionism. So what would this pyramid reveal in the thoughts of all humanity then? Simple deduction form from model participation is all. It gave insight into the outward expression of these matters(body) fluid emotive forces, to mental states of energy valuations?

I am not saying this is the way of it either, just that such a platform and model developememnt could have sparked other ideas, as Smolin so hopes might be revealled for further explorations into the new theoretical idea developement, to help us look at the way nature is.

Mendeleev example is a case in point where such ideas and sound valuation seem to penetrate the mind as to the essence and nature of matter. How strange then I might be, to say, that in our very own hearts is the transition point between the lower centers of man(his earth nature), that such ascension of this vibratory thought formsanaogy of the triangle to energy) would be, held in the clear mind?

But let's not forget some real science here.

The beam of positively-charged ions generates a slight magnetic field that interacts with an externally-applied magnetic field. The net result is that the trajectory of a charged particle is curved to an extent that depends on its speed (determined by its mass). When the beam of a mixture of isotopes of different masses falls on a photographic plate, the different isotopes converge at different points, corresponding to the different radii of their semicircular paths.

The mathematical equation that describes this phenomenon is: m/e = H2 r2 /2V, where m is the mass of the ion, e is the charge of the ion, H is the magnetic field strength, r is the radius of the semicircle, and V is the accelerating potential.

The Future of the Book

I have definite ideas about the future in this medium Clifford.

First let me say, that Indymedia was the first introduction to "real time" reporting aside from TV network medias distributors. If you could bring other perspectives to the realites of our world, then indeed media in terms of pictures, live video shots, could help you present more ideas to the public.

How much of a effect does this have?

One might talk about blogging and the effect it has about giving power to the individual in the street to prersnt views from the front lines. Has been well along in it's developemental stages. I am just presentng a safe scenario and the pushing of the envelope to considerations of laws about copyright/copyleft? To bring this dynamcial world of the internet into a responsible forum of the development of minds.



If one knew the fog that is created in life, askes for the Clear MInd, then where shall we begin? A Tibetan might ask for a priest at his bedside(Tibetan Book of the Dead), so that he can walk the indivdidual through the trepidations of a "material world" as one is dying. To help one realize to this Clear light?

It had to begin then that if minds are going to involve themselves in a sphere of personalities, then they should be well prepared for how this developmental process is evovling our consciousness. How historical figures are part and parcel of the history of the world on another level that we do not see? Rings around this planet? Rings around us? What is the color of your mind?

My mind goes back first though in a historical sense to Gamow. I know most do not like to live in the past, but this sets up certain ideas about the future. The freedoms of expression. The developemental idealization of a free society, and not one held too.



Most of us know who Richard Stallman is right?



The GNU?


I was thinking of the Cathedral and the Bizzare, Netscape and Microsoft, and how this developement is moved to ideas about the creative commons and the desire of what that "future book" should be?

Making Prisons for our Children's Minds



The dangers of being held into Doom conspirative games while introducing story forms for a pro-active idealization about "using toys" to encourage destructive attitudes? Locking our childrens "minds" within rooms of destruction? Predators who prey on our children.

Future of Blogging

In one sense the idea about the pictures and how they are implemented in these blogging articles, and the way html works from blogging to weblog. The future of the mind of the internet

We seen Jacques's disgust with the way you see things in Word Press and the way they end up appearing? Uiversal html directtives applicable to all blogging software

The limitation put on those who would like to use imaging, but are cut out because of the adminstrative duties held for Cosmic Variance Little Rascals. Here in this blogging sphere, will others be allowed to post their pictures?

What is this future that our minds are evolving too, as we sit at the desk and find others of like mind across from us. Have entered the world of personalilites and have left the planet for another type of world?

Timaeus:Laying the Ground rules on Genesis

You all know that you each have a respective hand on the elephant, and thsoe who would contribute their qunatum mathematics are new comers to what had already existed. As the craftsman Plato, I created the elephant in the thought of the man for this time:)


Genesis Timaeus 27c-34a

Sometimes as you read my dialogues you discover the flavour of individuals who had passed through these readings, and in selected words, highlighted the logic with which they would highlight my approach, and speak about science and the way of it?

Had I known that when I wrote this dialogue that minds like Einstein, or a Hooft would travel through these sections, I might then of assigned the "Craftsman" to different people here, as they developed the models of the world, with which this process speaks too.

Let me pick an example then for you and say that this perspectve I select holds one accountable, and recognizes that in this case it is becoming and perishable. A I highlight a section for you and you read you will understand.



Now some of you know that early on in this blog John Baez's view about the soccer ball was most appealing one for consideration, but indeed, the sphere as the closet example could all of a sudden become the ideas for triangulations never crossed my mind. Nor that Max Tegmark would tell us, about the nature of these things.

Is not, as John would like us to have believed? The "soccer ball" is dead, but not my Platomic form. It will remain, and live in the hall of the infamous, as a model of the way the world is created? It's underlying nature? It's "to be," as a Shakespearean thought would also have it's "infliction" on my very own words.

But let me first clarify some things here before I loose myself amongst all mmy writings, as it is difficult to retain the mind of individuals in the characters of these dialogues so that the discourse is found relevant in ways of a future, as I have first shown thus.

Timaeus:

First then, in my judgment, we must make a distinction and ask, What is that which always is and has no becoming; and what is that which is always becoming and never is? That which is apprehended by intelligence and reason is always in the same state; but that which is conceived by opinion with the help of sensation and without reason, is always in a process of becoming and perishing and never really is. Now everything that becomes or is created must of necessity be created by some cause, for without a cause nothing can be created.

Now let me say that if you are to define the rules of the game, then it will be that each would come from their corner, and from these distinctive positions, bias themselves to what I had always laid first before you.

So the ground rules had been laid long before any of you would speak on the ideas of emergence or not, first principle or not, and the defined shapes or not?

So by these implications you have to then known the logic with which you would approach this discourse with science and all who have used my dialogues :)

Lee Smolin:

-Stick to the issues raised. If someone raises a criticism, whether its done according to your standards of rhetoric or not, just answer the substantial science issue. Don’t waste our time with discussion about anything else. Don’t respond to a criticism on a specific point by changing the subject.

-No personal attacks, absolutely none. If someone has a Ph.D., then they are credentialed. Discuss with them in good faith and with respect.

-Let’s strive to agree on facts before discussing interpretation. Insist on precision and honesty, don’t allow exaggeration, and admit it gracefully when you are wrong or when the evidence does not support something you would like to be true. If someone questions the status of a claim, don’t say “everyone I respect believes X is true.” Say, X is in fact unproven, but there is evidence for it, which is exactly the following….

-Listen carefully to those professional colleagues who read the evidence differently from you, and try to understand sympathetically and in good faith, why they do so.

-Restrain your own communities. Make it clear that it is not acceptable to you when those in your committee insult others or publish or post things that are exaggerated or false. If someone insists on behaving badly, it is up to their community to restrain them. Make it clear that repeatedly treating colleagues disrespectfully in a public forum amounts to professional misconduct. The same is true for repeated cases of knowingly exaggerated or misleading statements in a public forum.

If we can all agree to some basic rules like this I am optimistic that we-and science- will come out better from the debates ahead.

While Lubos has some ideas of his own here, then it seems fair that we should work on these "ground rules" so that each understands that when they step on stage, they had both agreed to the plot that would take hold of science for all to see.

Lubos Motl:

These rules are, first of all, a proposal for a complete and thorough politicization of all of science. The first point is that personal integrity (or scientific integrity) is a very subjective thing that a person simply has or has not. And people will never agree whether certain things have been honest or not.

So if Lee Smolin, sets the "ground rules" while Lubos seeks to develope clarity from position and Clifford the stage, then we would know that your bias's would have to be put aside, in order to proceed. Previous conversations failed, Lubos and Lee:)I have watched your respective positions and felt Lee's feelings on trying, but never really succeeding, to adventure respective positions as one would have put it on stage. The Krauss issue timing is impecabble not for book publicity gain but for how one were to develope the scripts of science in dicussion.

At these meetings of mind, the idealization had been first spelt out in my story of Timaeus, now it is your turn as "to be" the Shakespeare, Einstein or t"hooft would be.

Sum Over Histories

So how does all this come together into a physical theory? It turns out that the proper procedure is to construct every possible diagram allowed by the theory (for a given state of input and output particles and how they're moving) and add up the corresponding complex numbers. The result is essentially the "wave function" for that specific input-output state combination, and by squaring that number you can determine the probability that the given input will result in the given output. Doing that is how theorists at particle accelerators earn their keep.

Principal of Least Action

Edwin F. Taylor

The least-action principle is an assertion about the nature of motion that provides an alternative approach to mechanics completely independent of Newton's laws. Not only does the least-action principle offer a means of formulating classical mechanics that is more flexible and powerful than Newtonian mechanics, [but also] variations on the least-action principle have proved useful in general relativity theory, quantum field theory, and particle physics. As a result, this principle lies at the core of much of contemporary theoretical physics.

Thomas A. Moore "Least-Action Principle" in Macmillan Encyclopedia of Physics, John Rigden, editor, Simon & Schuster Macmillan, 1996, Volume 2, page 840.

PRINCIPLE OF LEAST ACTION INTERACTIVE
Java programming by Slavomir Tuleja
Text by Edwin F. Taylor and Slavomir Tuleja
Draft of March 12, 2003

Here L is called the Lagrangian. In simple cases the Lagrangian is equal to the difference between the kinetic energy T and the potential energy V, that is, L = T – V. In this interactive document we will approximate a continuous worldline with a worldline made of straight connected segments. The computer then multiplies the value of (T – V) on each segment by the time lapse t for that segment and adds up the result for all segments, giving us an approximate value for the action S along the entire worldline. Our task is then to move the connected segments of the worldline so that they result in the minimum total value of the action S.