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| Author : | Topic: principles | Bottom |
| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
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Hi Ise .... That was A CRACKING post ! [ ...especially that bit: quote "that the particle "occurance" dictates the ability for reality to exist at all. " end-quote.] .. rock-solid thinking ...... saucer - --Last edited by saucer on 2007-08-04 09:16:23 -- |
| Iseason admin Posts : 102 |
Thanks Saucer That means a lot to me as you know. Actually , I'm so glad I discovered causality here. It seems the most credible was to look for 'energy'. However, I think it ends up complicated if you follow it too closely, and you can fall into the trap of inventing 'probabilities' instead of possibilities. What I am trying to show is that it is possible that it occurred in this fashion. The reason for this is that the theory allows for ANYTHING to be possible. So probabilities become totally redundant. trying to follow a pathway from a single particle and making it "behave" in a fashion , opens it up to every concievable arguement for and against being true. However if I say that because the state existed , and our reality exists , there must be reasonable assumptions as to the overall behaviour of the particle.Since it cannot move, (through What)changing states once is akin to being in two places at once or "everywhere at once". Because there is a varience. It is the "space between states " which becomes the energy or speed of the particle. The reality in which we live is simply , as I say, looking at both ends of the event at a certain stage of the change. Cheers Iseason | |||
| The Universe........Not bad for an old fart...... |
| zee Posts : 115 |
quote: trying to follow a pathway from a single particle and making it "behave" in a fashion , opens it up to every concievable arguement for and against being true. -unquote Hi Iseas, ..Though; its a basic method by which, to reach somewhere "diagonal path, or diagnostic root!" (....another Arguement.) zee |
| Iseason admin Posts : 102 |
ok Zee. i'm game!. please broaden your last statement. cheers Iseason | |||
| The Universe........Not bad for an old fart...... |
| zee Posts : 115 |
I, suppose Iseas that what I mean IS; Life in many ways is like "an extended-laboratory." Though, the problem with this " lab" is, that there is only 1 synchrotron in the entire "lab!" A problem where many many synchrotrons are NEEDED, for any work to "get-done!" In essence, there will go on being: "..so many conceivable arguements" to follow a pathway from a single particle, ( my point..) In the prescribed "laboratory" that DOS N'T MEAN we should fill our "lab" with the "entire-universe..." but, rather WE as sentients (and a mind..) will have to PLAN our "lab-experiments" (..a little..)~ Being ..just that little bit more selective, in our search. zee --Last edited by saucer on 2007-08-04 09:16:57 -- |
| Iseason admin Posts : 102 |
hmmmmm! Are you saying checking how single particle affects or could explain individual behaviours . Or are you describing scientific methodology. I know if I can take the particle past the first causality that it can do anything. That's ending up the catch here.Everything else is illusiunary.It would be much better to cheat a little and 'give ' myself "space" to work in. The only way I can see to do that is to have the particle continually catching up with itself.What's the curvature math of space. can we factor that in somewhere? Cheers Iseason | |||
| The Universe........Not bad for an old fart...... |
| zee Posts : 115 |
The Einstein field equations (EFE) or Einstein's equations are a set of ten equations in Einstein's theory of general relativity in which the fundamental force of gravitation is described as a curved spacetime caused by matter and energy. ![]() The constant κ (kappa) is called the Einstein constant (of gravitation), where π (pi) is Archimedes' constant, G the gravitational constant and c the speed of light. ;;; an equivalent formulation: ![]() ;;; Solutions of the Einstein field equations~ The solutions of the Einstein field equations are metrics of spacetime. The solutions are hence often called 'metrics'. These metrics describe the structure of the spacetime including the inertial motion of objects in the spacetime. As the field equations are non-linear, they cannot always be completely solved (i.e. without making approximations). For example, there is no known complete solution for a spacetime with two massive bodies in it (which is a theoretical model of a binary star system, for example). However, approximations are usually made in these cases. These are commonly referred to as post-Newtonian approximations. Even so, there are numerous cases where the field equations have been solved completely, and those are called exact solutions. The study of exact solutions of Einstein's field equations is one of the activities of cosmology. It leads to the prediction of black holes and to different models of evolution of the universe. zee : --Last edited by zee on 2007-04-09 08:20:56 -- |
| zee Posts : 115 |
Iseas~ you may look at some of the contents of this science-book (below) I noticed ( if you can find a free complete ebook copy, of it.): ![]() Wolf, Spaces of Constant Curvature 5th ed. xviii + 412 pages. Clothbound. 1999 This is the standard reference, by one of the major contributors to the field. Contents: Part I Riemannian Geometry 1.1 Differentiable manifolds 1.2 Vector fields 1.3 Differential forms 1.4 Maps 1.5 Lie groups 1.6 The frame bundle: parallelism and geodesics 1.7 Curvature, torsion and the structure equations 1.8 Covering spaces 1.9 The Cartan-Ambrose-Hicks Theorem 2. Riemannian Curvature 2.1 The Levi-Cività connections 2.2 Sectional curvature 2.3 Isometries and curvature 2.4 Models for spaces of constant curvature 2.5 The 2-dimensional space forms 2.6 Finite rotation groups 2.7 Homogeneous space forms 2.8 Appendix: The metric space structure of a riemannian manifold Part II The Euclidean Space Form Problem 3. Flat Riemannian Manifolds 3.1 Discontinuous groups on euclidean space 3.2 The Bieberbach Theorems on crystallographic groups 3.3 Application to euclidean space forms 3.4 Questions of holonomy 3.5 Three dimensional euclidean space forms 3.6 Three attacks on the classification problem for flat compact manifolds 3.7 Flat homogeneous pseudo-riemannian manifolds Part III The Spherical Space Form Problem 4. Representations of Finite Groups 4.1 Basic definitions 4.2 The Frobenius-Schur relations 4.3 Frobenius reciprocity and the group algebra 4.4 Divisibility 4.5 Tensor products and dual representations 4.6 Two lemmas on representations over algebraically non-closed fields 4.7 Unitary and orthogonal representations 5. Vincent's Work on the Spherical Space Form Problem 5.1 Vincent's program 5.2 Preliminaries on p-groups 5.3 Necessary conditions on fixed point free groups 5.4 Classification of the simplest type of fixed point free groups 5.5 Representations of finite groups in which every Sylow subgroup is cyclic 5.6 A partial solution to the spherical space form problem 6. The Classification of Fixed Point Free Groups 6.1 Zassenhaus' work on solvable groups with cyclic odd Sylow subgroups 6.2 The binary icosahedral group 6.3 Non-solvable fixed point free groups 7. The Solution to the Spherical Space Form Problem 7.1 Representations of binary polyhedral groups 7.2 Fixed point free complex representations 7.3 The action of automorphisms on representations 7.4 The classification of spherical space forms 7.5 Spherical space forms of low dimension 7.6 Clifford translations Part IV Space Form Problems on Symmetric Spaces 8. Riemannian Symmetric Spaces 8.1 Lie formulation of locally symmetric spaces 8.2 Structure of orthogonal involutive Lie algebras 8.3 Globally symmetric spaces and orthogonal involutive Lie algebras 8.4 Curvature 8.5 Cohomology 8.6 Cartan subalgebras, rank and maximal tori 8.7 Hermitian symmetric spaces 8.8 The full group of isometries 8.9 Extended Schläfli-Dynkin diagrams 8.10 Subgroups of maximal rank 8.11 The classification of symmetric spaces 8.12 Two point homogeneous spaces 8.13 Appendix: Manifolds with irreducible linear isotropy group 9. Space Forms of Irreducible Symmetric Spaces 9.1 Feasibility of space form problems 9.2 Grassmann manifolds as symmetric spaces 9.3 Grassmann manifolds of even dimension 9.4 Grassmann manifolds of odd dimension 9.5 Symmetric spaces of positive characteristic 9.6 An isolated manifold 10. Locally Symmetric Spaces of Non-negative Curvature 10.1 The structure theorems 10.2 Application of the structure theorems Part V Space Form Problems on Indefinite Metric Manifolds 11. Spaces of Constant Curvature 11.1 The classification of finite space forms 11.2 The geometry of pseudo-spherical space forms 11.3 Homogeneous finite space forms 11.4 The lattice space forms 11.5 A wild Lorentz signature 11.6 The classification for homogeneous manifolds of constant curvature 12. Locally Isotropic Manifolds 12.1 Reductive Lie groups 12.2 Examples of locally isotropic manifolds 12.3 Structure of locally isotropic spaces 12.4 A partial classification of complete locally isotropic manifolds zee --Last edited by saucer on 2007-08-04 09:12:27 -- |
| Iseason admin Posts : 102 |
Thanks Zee I will try to get a copy. Meanwhile something is interesting for me when I look at curvature. I wonder if I am seeing things correctly. Add to my suppositions. When I look at a rainbow , I see two distinct areas where there are the makings of white light. This would be if we were looking from either end. (where all the colours add up to white.) Since we are not looking at it from a certain angle , we instead see the variation of speeds which make up white light. I know there are other factors to take into consideration , and that differing parameters will change the math. The odity is that here is an example of curvature and position creating a different perspective depending on where you are standing. the light is doing nothing different , but what is visible to one person will not be visible to another. I am unsure whether I should consider that light waves have these two distinctive pathways or not.Here is my scenario. That when light travels, (despite a differing environment affecting the parameters) , we need refraction to SEE white light. In an intense beam , where the photons are more concentrated that a rainbow scenario, the refracting energy is still there. Unless the waves arrive at seperated intervals , they will not add up correctly. one sure way to keep this in check is if the light we actually use is crossing our eyes in the same order dictated by the rainbow. I am well aware of the horisontal/virtical polaroid nature of light. This is similar , but removes the straight beam. The constant of these differing energies actually needs them all to be present ALL the time , with one or more dominating but the distinct signiture of each light type would only be a constant if it arrived seperated at the correct intervals. shorter or longer wavelenghts is easy to see when we view a rainbow edge as the viewing perspective. cheers iseason | |||
| The Universe........Not bad for an old fart...... |
| zee Posts : 115 |
Iseason, You are referring to: A rainbow is an optical or meteorological phenomenon. also: ("Do two people ever see the same rainbow?" ...that "since the rainbow is a special distribution of colors (produced in a particular way) with reference to a definite point - the eye of the observer - and as no single distribution can be the same for two separate points, it follows that two observers do not, and cannot, see the same rainbow." In fact, each eye sees its own rainbow!! Of course, a camera lens will record an image of a rainbow which can then be seen my many people! http://www.eo.ucar.edu/rainbows/ ) ]Iseason, I get the feeling this subject is (right-off; a "start..") complex! ~ ..So, I will have to view more issue, to be more positive! Any.??? :zee --Last edited by saucer on 2007-08-04 09:13:13 -- |
| Iseason admin Posts : 102 |
The methodology of a rainbow is not my point.This is but one type of refraction.what i am saying is that the variability of differing wavelengths would be dependant on every interval being also present. At all times. Say I want to use a crystal to seperate white light. This needs a refractive angle for this to occur.The degree of refraction is crucial to all of these behaviours. What I am saying is that the refractive nature of light need not begin at the crystal. Or the air. or the atmosphere. In space light would necessarily have a similar behaviour determined by the medium it was travelling through. If the angle at which we recieve the light is correct,we will see something. But there will be a refractive difference between what we see and the true distance to an object. There must be. That means that If I were travelling at the speed of light and could do so in a direct path , I could do so faster than a beam of light could do it . Even if the refraction rate was minimal. But since this is not possible , there are two realities possible within the one universe. The one we see , and the actual reality that exists. to keep motion possible , one must be inviolable(straight path) and one interdependant (refractive). The refractive pathway is essential to create differing perspectives of the straight pathway. The necessity of this in theory is to prevent a law which allows infinate speeds.Without curvature the straight line has no width/depth or lenght. cheers iseason | |||
| The Universe........Not bad for an old fart...... |
| Iseason admin Posts : 102 |
Carying on from where i left off. The straight line impossibility is what makes the particle "everywhere at once". The straight line must exist "everywhere at once", but cannot in reality be true. Therefore the motion of the particle is "borrowed" by the universe we know. The speed we can travel through a medium is dictated by the amount of curvature which inhabits a space. (Matter is much more curved than space)But the rule of the straight line is a real law.Eventually Space will straighten out , Because the motion is trying to find the rest mass or position of the straight line. total mass gives the best opportunity for this. Because direction will then be meaningless and void. straight lines which were theoreticlly possible are now theoretically impossible. in this case the change in state is from a straight line to a straight line. The reverse would prove equally true and end in nothing. not even the possibility of a straight line would exist. So which way are we going? up in mass to a straight line? Or down in mass to a singularity which rescues us from becoming nothing? Cheers Iseason | |||
| The Universe........Not bad for an old fart...... |
| zee Posts : 115 |
Isea quote; The speed we can travel through a medium is dictated by the amount of curvature which inhabits a space. (Matter is much more curved than space)But the rule of the straight line is a real law.Eventually Space will straighten out , Because the motion is trying to find the rest mass or position of the straight line. unquote~ Hi, Iseas~ I have this word in my head when I read your last post.. The word is: transmogrification ..... zee --Last edited by saucer on 2007-08-04 09:14:44 -- |
| Iseason admin Posts : 102 |
thanks it's interesting to take this line of thought. I know I have written in other locations about the behaviours. If there were two original positions for the particle. 1. most outer 2. most inner And the particle could never occupy the same location twice, it sets up a very reasonable arguement for the nucleus of an atom and strong force. The inner position is one particle width. The outer is a much bigger variation. after leaving the centre, the particle can never occupy that position again. at the outer limit the same occurs. upon reaching the outer limit , the particle cannot simply return on the same course as that would put it back on a collision course with itself. good sense says that unless it were to change course radically, the change would be in an arc. this creates a figure eight, which at the centre must occupy one particle width of the centre (removed).As this pattern continues , the particle must turn the width of the centre in order to miss itself. as it continues , the centre will move towards the outer (like a growing ball)the outer can remain at the limit for a lot longer since the "occurance " can occur many more times. Density will happen much like spirograph, but will be dragged along with the turning whole creating a "wrapping effect" as well as the initial crossover, the motion can alter the straightness of the middleground trajectory to a similar arc as the outer edges. In fact there is nothing to prevent the outer limit as being the original position . If a particle curcumnavigated a limit, the outer rim would eventually offer no more free space. The variation would be greater then one particle size as the engel needed to avoid the meeting of itself would cause an arc that moved the particle to an interior position. Now this angle would never again be equal to the rim . Unless the particle pathway filled only one half of the rim, and in doing so would paint itself into a corner, it must reduce its orbit with each passage until it reaches center. Then use a similar (but different travel pathway to get back to the outer rim. In this model , the same thing occurs. The centre becomes "full" of particle "occurances" while the outer areas have more available space.If the particle occurance is equal in all areas "speed for size" then it cannot but create a varience in density. The area halfway between the outer and centre rim will have a measureable comparason. So will a number of other regions . 1 1/8 1/4 1/2 and so on.the end result is a very good mathematical 'thing'. With all the variations that are possible from this action, i'm not surprised to see the diversity that we get. Cheers Iseason --Last edited by Iseason on 2007-04-20 05:47:06 -- | |||
| The Universe........Not bad for an old fart...... |
| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
- Correlation does not imply causation .... http://en.wikipedia.org/wiki/Correlation_does_not_imply_causation - |
| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
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| zee Posts : 115 |
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| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
Dec 3, 2003 Clear message for causality Experiment confirms that information cannot be transmitted faster than the speed of light Ever since Einstein stated that nothing can travel faster than light, physicists have delighted in finding exceptions. One after another, observations of such "superluminal" propagation have been made. However, while some image or pattern- such as the motion of a spotlight projected on a distant wall - might have appeared to travel faster than light, it seemed that there was no way to use the superluminal effect to transmit energy or information. In recent years, the superluminal propagation of light pulses through certain media has led to renewed controversy. In 1995, for example, Günther Nimtz of the University of Cologne encoded Mozart's 40th Symphony on a microwave beam, which he claimed to have transmitted at a speed faster than light. Others maintain that such a violation of Einstein's speed limit would wreak havoc on our most fundamental ideas about causality, allowing an effect to precede its cause. Relativity teaches us that sending a signal faster than light would be equivalent to sending it backwards in time. Obeying the speed limit Obeying the speed limit Now an experiment by Michael Stenner and Daniel Gauthier at Duke University in North Carolina and Mark Neifeld at the University of Arizona promises to shed fresh light on this century-old conundrum. The Duke-Arizona team has attempted to directly measure the "speed of information" by sending a message through a superluminal medium (M Stenner et al. 2003 Nature 425 695). However, the work could merely fan the flames of the dispute over faster-than-light propagation. The speed of light Special relativity tells us that no matter how much kinetic energy a massive object gains, its speed will never exceed the speed of light in a vacuum, c. This, at least, is generally accepted. However, the issue for light - which is an electromagnetic wave composed of massless photons - has never been quite as clear-cut. Special relativity says that massless particles always travel exactly at c, but one of the first things we are taught about light is that it travels slower in glass or water than it does in a vacuum. This delay is due to the absorption and re-emission of photons by particles in the medium. When light hits an atom, the electrons begin vibrating at the optical frequency, and the electromagnetic fields that they re-radiate interfere with the original fields. Whether this interference delays or advances the phase of the waves depends on the properties of the atom and the frequency of the wave. The fact that light might travel faster than it does in a vacuum caused great bewilderment at the beginning of the 20th century. But the issue was eventually clarified by Arnold Sommerfeld and Léon Brillouin, who showed that the "phase velocity" - the speed of the individual ripples on an idealized wave that extends to infinity in both directions - does not directly describe the motion of the energy in a light pulse. Instead, Sommerfeld and Brillouin realized that the propagation of a photon should be described by the speed at which the peak of localized packets of ripples moves - the "group velocity". Even when the phase velocity is faster than light, the group velocity should be slower. Despite this careful redefinition of the velocity of a wave, there are, in fact, still exotic situations where the group velocity can exceed c. However, these situations are characterized by a great deal of absorption and distortion, which led Sommerfeld and Brillouin to argue that the group velocity itself loses any meaning in such regions. They showed that any abrupt change in the pulse shape - which the person receiving the signal would not expect, and which would therefore carry new information - would travel not at this superluminal group velocity but only at c. The speed of information Experiments in the 1980s, however, showed that it was possible for the peak of a wave packet to arrive sooner than it would had it travelled at c. Most researchers agreed that the peaks of such smooth, predictable pulses carried no new information, since one could foresee the arrival of the peak from the shape of the earlier portion of the pulse. The modern version of Einstein's law that no signal can travel faster than light was therefore left intact. Some researchers, on the other hand, pointed out that these "superluminal" pulses could well be used to trigger a practical detection system earlier than pulses that had travelled at c. One obstacle to resolving the issue was that all known examples of superluminality involved the loss of most of the incident pulse, either through absorption or reflection. This loss degrades the quality of any signal, leaving open the argument that it could still take longer to accumulate information than in the case of slower, but lossless, transmission through the vacuum. However, 10 years ago Raymond Chiao of the University of California at Berkeley proposed that under the right conditions an optical pulse might pass through a transparent (lossless) medium faster than light. Together, we suggested an experiment in which this could be observed. The idea was to pump a sample of atoms into an inverted state in which their optical properties are essentially opposite to those in normal matter, and then to tune the signal probe to a particular frequency that allowed it to propagate superluminally. In 2000 Lijun Wang and co-workers at NEC in Princeton demonstrated this effect, proving that a pulse peak could exit a small vapour cell even before it should have had time to enter (see "No thing goes faster than light" and "Taming light with cold atoms"). This rekindled the embers of controversy, and much theoretical work has followed. However, until now no experiment has come any closer to closing the book on this issue. The work of Stenner and colleagues extends the NEC work in two ways. First the researchers devised an improved way to pump a sample of potassium vapour into the special superluminal state, which allowed them to increase the relative size of the effect by a factor of five. Instead of an advance of only 1/50 of the original pulse width, as Wang and co-workers had achieved, their pulse leaped an astounding 1/10 of a pulse width ahead of one travelling at c. Figure 1 Figure 1 Second, not content to work with infinitely smooth, predictable pulses, the researchers encoded a realistic "signal" on top of their light beams (see figure). This signal can represent either a "1" or a "0", and the goal is to find the earliest moment at which a receiver would be able to determine whether a "0" or a "1" had been sent. Stenner and co-workers found that although the smooth pulse arrives noticeably earlier through the superluminal medium, the instant at which the "1s" and "0s" begin to differ does not seem to be accelerated. In fact, carrying out a very careful analysis of signal and noise, and eliminating nearly all spurious delays that the equipment itself might introduce, the team found that "new" information actually arrives somewhat slower than light. New information This result will be welcomed by mainstream physicists, who believe that Einstein's speed limit will always be respected. But it is worth pointing out that in this experiment, as in any real-world situation, the detection of information has to be defined statistically in terms of how long it takes to reach a certain level of confidence about the content of the message. In reality, there is always some delay between the decision to send a message and the point at which the first photon leaves the transmitter. Similarly, it takes a finite time after the arrival of this first photon before any level of confidence can be achieved. It is therefore easy to mistake a reduction in these latency times for true faster-than-light propagation. For example, a system that filters out some of the noise would make it easier to extract the message quickly. While the current experiment has done an excellent job of eliminating spurious effects, it would be easy to construct similar experiments that erroneously indicate superluminal information transfer. Furthermore, one could argue that such information transfer could have occurred but still be masked from view by mere technical noise. Perhaps more important is the continuing uncertainty about how to truly pin down, even in theory, where this "new information" resides. Clearly, a signal cannot be spread out over all of history in a perfectly smooth pulse. On the other hand, truly discontinuous pulses are never observed in the real world and they are unpalatable even in theory. While theorists focus on geometric points where something unpredictable happens, experimentalists counter that no energy is contained in an idealized point, and that no information can be obtained until at least one photon is detected. Experiments like this force us - in this information-dominated age - to come to terms with the fact that we still do not truly know how to describe a task as simple as saying "yes" or "no". About the author Aephraim M Steinberg is at the Institute for Experimental Physics, University of Vienna, Austria |
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