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#11
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Doune60 wrote:
Sue Wrote: The 1920 paper is the reference. The paper seems to dump the idea in favour of space-time, which is not what I'm asking - is there an explanation in SR? I doubt there is an SR explanation. The rotating FoR isn't necessary to resolve Maxwell's equations with Galilean relativity. All that is required is retarded time in the near-field. Einstein did the same thing with aether in SR - he decided he didn't need it and so it suddenly went away. I am not sure he said what he believed. Any theory had to overcome a lot of political and religious inertia with regard to an absolute frame of reference. I'm not advocating aether here, btw. I just think this is a little sloppy. Ya have to make electrons and positrons out of something... may as well call it aether. Richard Fitzpatrick calls it magic. Sue... SCW |
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#12
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"JanPB" wrote in message ups.com... Pentcho Valev wrote: Albert Einstein, 1905 : http://www.fourmilab.ch/etexts/einstein/specrel/www/ : "From this there ensues the following peculiar consequence. If at the points A and B of K there are stationary clocks which, viewed in the stationary system, are synchronous; and if the clock at A is moved with the velocity v along the line AB to B, then on its arrival at B the two clocks no longer synchronize, but the clock moved from A to B lags behind the other which has remained at B by tv^2/2c^2 (up to magnitudes of fourth and higher order), t being the time occupied in the journey from A to B. It is at once apparent that this result still holds good if the clock moves from A to B in any polygonal line, and also when the points A and B coincide. If we assume that the result proved for a polygonal line is also valid for a continuously curved line, we arrive at this result: If one of two synchronous clocks at A is moved in a closed curve with constant velocity until it returns to A, the journey lasting t seconds, then by the clock which has remained at rest the travelled clock on its arrival at A will be tv^2/2c^2 second slow. Thence we conclude that a balance-clock7 at the equator must go more slowly, by a very small amount, than a precisely similar clock situated at one of the poles under otherwise identical conditions." Through this text the Juggler managed to convert an obvious idiocy (EITHER clock runs SLOWER than the other), which is a corollary of another idiocy (the principle of constancy of the speed of light), into a glorious discovery (the clock at rest runs FASTER than the moving clock). So, like Procrustes, the Juggler tied theoretical science to the iron bedstead his mediocre mind had created and started cutting healthy parts of its body until the victim eventually fitted the bedstead. Pentcho Valev Go away. You are a bore. No he isn't, you are. **** off! tau = (t-vx/c²)/sqrt(1-v²/c²) tau = (t-uy/c²)/sqrt(1-u²/c²) tau = (t-wz/c²)/sqrt(1-w²/c²) xi = (x-vt)/sqrt(1-v²/c²) eta = (y-ut)/sqrt(1-u²/c²) zeta= (z-wt)/sqrt(1-w²/c²) Right or wrong, dumb****? If one is right they all are, if one is wrong they all are, pathetic ****head. For v = 0.866c, u = 0.866c, w = 0.866c the resultant velocity is sqrt( 3/4 + 3/4 +3/4) = 1.5c Right or wrong, ****forbrains? Einstein said eta = y, zeta = z because he did not know how to move sideways or up, anencephalous cretin. [quote] we establish by definition that the "time" required by a crab to travel from A to B equals the "time" it requires to travel from B to A. [end quote] Ref: http://www.fourmilab.ch/etexts/einstein/specrel/www/ Einstein can prove nothing can go faster than a crab. Oops!... Did I say 'a crab'? Sorry...'light'. "In agreement with experience we further assume the quantity 2AB/(t'A-tA) = c, to be a universal constant--the velocity of light in empty space." -- Einstein. In agreement with experience and without any assumption, BA = -AB, 2AB = AC, [AB +BA]/(t'A-tA) = 0 Hence c = 0 in Einstein's math. Observation: http://www.britastro.org/vss/gifc/00918-ck.gif Explanation: http://www.ebicom.net/~rsf1/sekerin.htm (fig 3) (Or stars explode twice in three months, which is stupid). In agreement with experience and without any assumption, you remain an arrogant, illiterate, innumerate, illogical, incompetent **** without a scrap of logic in you, you whining little toad. You don't have an inkling about mathematics or physics and live in the vain hope some moron will think you are clever, Mr SmartArse who pretends he understands physics and doesn't have a clue how to synchronize his watch to Cassini time. Modern physics: http://www.androcles01.pwp.blueyonde...ynchronize.htm **** off, useless tord! Androcles. |
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#13
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"Doune60" wrote in message oups.com... Sue Wrote: Any theory had to overcome a lot of political and religious inertia with regard to an absolute frame of reference. Yes, difficult to believe that now. Then again, with the Creationist lobby in the US, possibly we haven't moved that far after all! Take care Yep. People haven't changed even if engineers have brought them cars and televisions and refrigerators and MP3 players and iPods and computers and world wide travel in aircraft and the internet and well... information beyond their wildest dreams, such as Cassini in orbit around Saturn. Not bad for 100 years. They still drag their arses off to church begging for king Jupiter the chief god (he has a different name now) to boss them around when they are dead so that they can wear wings and halos and zoom around heaven singing hosannas and hoping to see for themselves. Nothing makes them happy, nothing ever will. You take care too. Androcles. |
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#14
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You'll find the answer to the clock differential in the following
artilcle: THE DUAL VELOCITY THEORY OF RELATIVITY The special theory of relativity enjoys its unusual status because certain conclusions were made by Einstein that a rational mind has difficulties digesting. There is a saying that many physics theoreticians are correct in their mathematics but err in their interpretations. The object here is to correct Einstein's misinterpretations and clear up some of the misunderstandings. Rather than analyze the said misinterpretations, we simply present the proper interpretations and let the reader draw his own inferences. First, we must recognize that what happens to mass, energy, momentum and time is simply an observation. These parameters in their own co-ordinate system do not change. They are known as "proper". Let us consider length, say the length of a rod. As its co-ordinate system approaches the speed of light, the length of the rod appears to foreshorten. Next we recognize that length and distance are synonymous. We also recognize that velocity is distance/time. Therefore, we are drawn to the conclusion that if the observation of a length contracts, so does the observation of a velocity. So what we have, then, is the dual situation of proper length and observed length -- and likewise, we have proper velocity and observed velocity, thus, the dual velocity that is the subject of this writing. We shall refer to the proper velocity as "Newtonian" for that is what it is -- and the observed velocity as "relativistic" because that is what it is. Next, we note (after proper investigation) that as the velocity of the moving co-ordinate system approaches infinity, the relativistic velocity approaches c. The relationship can be written as V x sqrt(1-v^2/c^2) = v, where V = Newtonian velocity, v = relative velocity, and sqrt(1-v^2/c^2) is the Lorentz operator -- for which, henceforward, we shall use the letter, R. Thus we have V R = v. MASS Amongst other things this posit clears up the old bugaboo of relativistic mass which was inferred from the expression for relativistic momentum, p: p = mv/R In this expression, as v goes to c, p goes to infinity. And it was concluded that since v had the limit c, the only way p could go to inifinty was if the mass, m, increased. So Einstein concluded. But in the light of dual velocities, we see another explanation. Instead of R modifying m, (m/R) it modifies v, (v/R) -- and we see that v/R = V. So it is the Newtonian velocity that goes to infinity. TIME We start our examination of the time dilation concept by going to its source -- Einstein's paper, On the Electrodynamics of Moving Bodies. We refer to his gedanken experiment of moving clocks. One of two identical clocks remains at rest while the other moves away and returns. When Einstein perceived the difference of the clock readings in his calculations, he stated the moving clock "was slow by ...". The immediate perception by the public was that he meant if a clock was "slow by" - it had to have run slower. He also said the moving clock was "behind" the inertial clock by ... . These two statements do not mean the same thing. If one clock is running slower, then it is running slower, and that has only one meaning. On the other hand to say one clock is behind the other is open to alternative explanations, eg, the moving clock could have traveled a shorter world line -- or may have traveled faster than observed. In either case the clock would maintain its normal (proper) rate but for a shorter duration than the inertial clock and thus be behind. At any rate the accepted version is that the clock ran slower and thus was born the concept of time dilation which led to the famous Twin Paradox. We see here the answer to the problem is that the moving clock traveled faster than observed. The clock in the moving system kept proper time but did so for a shorter duration than experienced by the stationary clock because its velocity (Newtonian) was faster than the observed relative velocity. We shall illustrate -- and in doing so, we shall also illustrate the existence of superluminal velocities. We assume a co-ordinate system that travels at the rate of 1.732 c. By VR = v we see the relative (observed) velocity to be .866c. {R can be obtained from V by sqrt{1/(1+V^2)}. We set the conditions as follows: The traveling system ,S, will travel a distance of 1.732 light seconds (LS). Since the velocity is 1.732 LS/sec, the clock in the system will record the transit as taking one second. One second up and one second back equals 2 seconds for the round trip. The observation in the inertial system is different. There, the observed velocity (relative) is .866 LS/sec, and the round trip will occupy 4 seconds -- two seconds each way. However, that is not the way the inertial system actually observes. One has to take into account that in observing a moving co-ordinate system, the time for radiation to transmit the record of it has to be included. So the actual subjective description can be mathematically described as follows: ( where c=1) v_ diverging = v/(1+v), v_converging = v/(1-v). Thus in our illustration the subjective observed velocity in recession is .4641c -- and the transit time is 1.731 LS/.4641c = 3.732 sec. The subjective observed velocity in approach is 6.4641c -- and the transit time is 1.732 LS/ 6.4641c = .26795 sec. Adding the recession time to the approach time gives us a 4 second round trip, for the inertial observer whereas it is 2 seconds for the moving observer. ENERGY We write generically E = m a d = mv^2 (m = mass, a = acceleration, d = distance) For kinetic energy we write E_k = mv^2/2 This is the Newtonian expression and valid for relatively low velocities. By considerations not displayed here the factor 1/2 is replaced by 1 /R + R^2 Thus we write the expression for kinetic energy as mv^2 E_k = --------------- (R + R^2) It will be found this is exactly equal to Einstein's E_k = (1/R - 1)mc^2 and good for all velocities. We note that the expression for the kinetic energy of radiation is E_k = h nu = m_photon c^2, which is of the form mc^2. The mass of the photon is derived from Einstein's m = E/c^2. We also note that in this latter form, E = mc^2, there is no modifying factor as there is for ponderous bodies. We take this to mean that the Lorentz transformation is not applicable to radiation (except where there is an interaction between radiation and matter in motion). In the Newtonian case, we also note that the factor ½ is only applicable at very low velocities. In the kinetic energy equation above --- good for all velocities --- we have the factor 1/(R + R^2) replacing ½. Note that at very low velocities, R is 1 --- and the factor 1/ (R + R^2) becomes ½. As we go up the scale of velocities, this factor goes to infinity as does the velocitiy. For more information and monographs see the General Science Journal at http://www.wbabin.com. Go to "List of Authors" and click on Vertner Vergon. see the monograph "On the Quantum as a Physical Entity" go to http://www.wbabin.com, Then go to "List of Authors" and click on Vertner Vergon. |
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#16
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ON TIME DILATION AND DOPPLER TIME
Vertner Vergon Abstract We examine time dilation and find it leads to an unforgiving contradiction. We also find it is contrary to empirical experience. In examining Doppler time we find it has none of these deficiencies. We therefore conclude that the erroneous concept of time dilation be replaced with the concept of Doppler time variation. We start our examination of the time dilation concept by going to its source -- Einstein's paper, On the Electrodynamics of Moving Bodies. We refer to his gedanken experiment of moving clocks. One of two identical clocks remains at rest while the other moves away and returns. When Einstein perceived the difference of the clock readings in his calculations, he stated the moving clock "was slow by ...". The immediate perception by the public was that he meant if a clock was "slow by" - it had to have run slower. He also said the moving clock was "behind" the inertial clock by ... . These two statements do not mean the same thing. If one clock is running slower, then it is running slower, and that has only one meaning. On the other hand to say one clock is behind the other is open to alternative explanations, eg., the moving clock could have traveled a shorter world line -- or may have traveled faster than observed. In either case the clock would maintain its normal (proper) rate but for a shorter duration than the inertial clock and thus be behind. At any rate the accepted version is that the clock ran slower and thus was born the concept of time dilation. This concept is usually stated by an illustration that says if one were to observe a clock on a fast moving spaceship, they would observe it to run slowly. It must be emphasized that this running slowly occurs regardless of the direction or vector of the ship. That is to say it matters not whether the spaceship is receding or approaching, time runs slower. Also to be emphasized is that this slowness of time is not just a matter of observation but actually takes place -- for when the clock returns it is actually 'behind" the stationary (or Earth) clock. Since this is the case, we are inevitably drawn to only one conclusion, the moving clock has to be running slowly in its own coordinate system. Here we are faced with an unforgiving contradiction for basic relativity states that all clocks keep proper time in their respective coordinate systems. It is inconsistent that a clock can actually run slowly in its own coordinate system - and also, the while, keep proper time. This contradiction requires that the time dilation concept, i.e., t' = t sqrt(1 - v^2/c^2) be discarded. The question arises, is there something to take its place? The answer is yes. To lay the foundation for this replacement we note that any known constant frequency is a clock. The scientific community has chosen the excited cesium atom as the standard. This is an arbitrary choice. Next, we note that the cesium clock (or any other constant frequency atom) will never vary in its rate. So they will always keep proper time. However, observations of these clocks will show a variation due to the Doppler effect. We declare this variation in frequency is a variation in observed time. Since the frequency is a clock, an observed variation in the frequency is an observed variation in time. Call it Doppler or what one will, that is merely a description of the mechanics. In the final analysis it is a variation in observed time. Next, we examine a counter argument which states that the relativistic Doppler rate is the result of the following: If one takes the non-relativistic Doppler rate and modifies it by the time dilation they, come up with the relativistic Doppler rate. This, supposedly, confirms time dilation. Upon further examination, we perceive that even if we were to accept that explanation, what we have is the situation whereby an approaching clock is observed to run fast -- not as fast as non-relativistic mechanics would have -- but fast. This is contrary to time dilation which requires an approaching clock to run slowly. That a reversal in direction results in a reversal of time rate is to be expected since time variation is the result of velocity vectors - and vectors are directional. If a theory conflicts with empiricism, it has to be discarded. Next we point out that we need not necessarily accept the above explanation. We note that above, the non-relativistic Doppler is modified by applying time dilation. We also note that time dilation is written t' = t v(1 - v2/c2), where v(1 - v2/c2) is the Lorentz transformation. Now non-relativistic Doppler in direct approach is written (where V = v/c and nu is frequency). nu'/nu = 1/1- V Next, we apply time dilation: nu'/nu = (1/ 1 - V) x t v(1 - V2). It is immediately apparent how clumsy this equation is. Frequency times time is n/t x t = n (where n is a number) To avoid this problem we may write: nu'/nu = (1/1 - V) v (1 - V2) Now the argument presents itself that the equation immediately above does not represent the application of time dilation but does instead simply apply the Lorentz transformation to the frequency as it does to other parameters in transposing from one coordinate system to another. Thus relativistic Doppler is simply that - and not modified by time dilation. It can easily be shown -- using the famous "Twin Paradox" as an example -- that utilizing the observed Doppler time rate will yield -- when the clocks are reunited -- a difference in the readings commensurate with the time dilation rate. And to restate, it can be shown that using the Doppler time rate will yield the time dilation effect. And that is the proper way to refer to it -- "time dilation effect". The reason: The net time differential when the movement of the clock is complete is the same as though dilation time was operative throughout, whereas it was Doppler time operating. What then? What is the explanation for the "effect", but not the actuality of time dilation? Particle accelerator operators and Ives & Stillwell claim to have "directly observed" time dilation.* What they have observed is transverse Doppler rates. It so happens, by some extraordinary coincidence, that the transverse Doppler rate is the same as the time dilation rate. |
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