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| Tags: confirmed, empirically, superluminal, velocities |
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#22
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Starblade Darksquall wrote: I know what goes faster than the speed of light. The stars really really far from me all go faster than the speed of light when I spin around in circles because my spinning reference frame is just as good as anybody else's. You are not talking about the motion of the stars. You are talking about changing coordinate systems. Bob Kolker |
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#23
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Robert J. Kolker wrote: Starblade Darksquall wrote: I know what goes faster than the speed of light. The stars really really far from me all go faster than the speed of light when I spin around in circles because my spinning reference frame is just as good as anybody else's. You are not talking about the motion of the stars. You are talking about changing coordinate systems. Bob Kolker I thought he was just dizzy. holog |
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#24
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holog wrote:
I thought he was just dizzy. She |
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#25
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#26
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Perfectly Innocent: I wonder if this is all nonsensical hoopla based on the antiquated wave theory of light or if there is a real, measurable faster-than-light particle view of quantum mechanical tunneling going on. What do you mean by 'faster than light'? SR does not forbid considering things happening faster than light (eg the sweep of a torch over clouds) but the sending of information faster then light is not what is allowed. The effects your alluded to can not be used to send information faster than light. Thanks Bill --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com). Version: 6.0.522 / Virus Database: 320 - Release Date: 9/29/2003 |
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#27
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"Robert J. Kolker" wrote in message ...
Starblade Darksquall wrote: I know what goes faster than the speed of light. The stars really really far from me all go faster than the speed of light when I spin around in circles because my spinning reference frame is just as good as anybody else's. You are not talking about the motion of the stars. You are talking about changing coordinate systems. Bob Kolker Motion is relative. They are not moving in their own reference frame, but they are in mine. (...Starblade Riven Darksquall...) |
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#28
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Sam Wormley wrote in message ...
holog wrote: I thought he was just dizzy. She Thanks. I really shouldn't spin around so much all the time. (...Starblade Riven Darksquall...) |
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#29
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Richard wrote in message ...
You are probably correct EL, but I don't believe that it's that complicated. All you need to measure is the dispersion, from there you can calculate the group velocity, as demonstrated nicely by this applet http://gregegan.customer.netspace.ne...ETS/20/20.html [EL] Ah! The applet. ![]() It is quite an amusing view, BUT. Let us analyze that applet to find out how tricky wave mechanics can be. ![]() Firstly, that applet is simply a dynamic graph. So let us assign some physical meanings to it before we proceed. The horizontal axis should be definitely TIME. The vertical axis could be the amplitude of differently offseted waves. This is rather very easy to demonstrate on a multi-channel oscilloscope. Since our screen image is a raster then the horizontal scan time-window must be a single finite value. Now let us assume that that oscilloscope's screen is subdivided horizontally to 20 equal divisions. We now lock our time-window onto twenty cycles of the highest frequency displayed. If it was for example 100MHz then each cycle takes 10 ns and we need a horizontal sweep time of 200 ns. That highest frequency must appear stationary on the scope's screen. The applet shows a group of waves slipping backwards, which means that they are slower than the reference frequency and the wavelengths are not integer multiples of that wave length. So we have a group of waves propagating at the same speed in the same homogenous and isotropic medium but they have different frequencies and they superimpose. The group phase amplitude then is the sum of all superimposed phases at any time. Therefore at any point in time we have a summed wave propagating at [c] and the modulation is static over space while changing over time. Out of synch waves may slip backwards or forward depending on the sign of the frequency delta with respect to the time-window of the oscilloscope. We chose for our example a 5 MHz reference frequency for the oscilloscope and we choose our group to be based on a reference wave frequency of 100 MHz and a band width less than 5MHz such that all other group waves take frequencies less than 100 MHz but not less than [95 MHz + epsilon]. This guaranties that the slipping effect is distributed over a single division and is moving backwards (left side of screen). The resulting interference-modulated wave, however, may be a new frequency and we find Modulo 5 of that frequency to know the direction of the slip of the resulting wave. If it was between .1 to 2.4 it slips forward and if it was between 2.6 and to 4.9 it slips backwards. The slipping speed is directly proportional to the delta of the modulo and the horizontal scan frequency and it has absolutely nothing to do with wave propagation time. So this should take care of the fancy applet that means **** nothing relevant to the being claimed hoopla. According to the link on that page, the group velocity is given by v_g = c / (n(v) + vdn(v)/dv) and can be greater than c. [EL] What velocity is that v? If it was the modulation frequency I fail to relate propagating it at any other velocity than [c] in vacuum or less in caesium. How in hell do they ambitiously wish to make us believe that a modulation result at time [T] can appear forward at time [T- t]? All interfering waves at any moment has a finite superposition and at the next time event has another superposition that follows the first at the same space coordinates while the previous one propagates at [c] forward in space. We either monitor space from an inertial frame and observe changes to that locked space of time or we monitor time from a moving frame such that we lock time [freeze time] and inspect a paper tape graph record of changing space. Doing both concurrently is reckless and irresponsible child's play. OTOH, I have a problem with their explanation of why this doesn't contradict SR. Let's suppose that wrt some given wave the speed of the group wave is less than c. Thus wrt that wave a massive particle may be moving in tandem with that group wave. According to SR velocity addition, that particle is thus traveling at less than c wrt lab frame as well, and thus the group wave is also moving at less than c wrt lab frame because it is perpetually adjacent to the particle, which is simply an invariant condition. Thus, according to SR and simple logic, a group wave cannot move at greater than c wrt lab frame, 'unless' it is also moving at greater than c wrt any single phase wave involved in the group wave propagation. Thus the equation above cannot be relativistically correct. [EL] The equation above is meaningless because I have no freaking idea how they fill in the values of the variables. That hoopla does not shake a hair. Group velocity is an Oxymoron from scratch because there are no different wave velocities in one and the same homogenous and isotropic medium. Any phase velocity expressed in distance over time is zero because a phase change takes place at a fixed coordinate while the invariant phase-state is what propagates space over time. Therefore wave velocity in [L/T] dimensions is the same as the phase velocity in [L/T] dimensions. It is the phase rate of change in [L=0 /T] (we call it the Slew Rate) that is erroneously labelled as a velocity. It is in units of wave Amplitude/Time, like volts per second. OTOH, there is no doubt that the group wave can indeed empirically surpass c, [EL] Objection, because I have amply demonstrated that that is impossible too. so that if SR is valid, then there is a speed of the group wave that cannot be accompanied by the moving particle. Once again this can only result in the group wave propagating at greater than c wrt 'all' frames at the very instant that it exceeds c wrt any one frame. [EL] I am not a fan of SR either but c is a scalar constant of vacuum, and we should never argue a constant by definition. What is the meaning of group velocity! Tow inertially locked light sources radiating expanding spherical wavefronts must have the spherical shells approaching each other at 2c by simple arithmetic. However, each sphere's radius must be increasing length over time at [c]. I also give no flying monkey's fart to Einstein's observers and twins. snip It is easy to say, "Well, the SR speed limit applies only to massive particles and information", it is quite another to prove that statement, and to be quite honest, in retrospect, I've not only never seen such a proof, I've never even seen a citation of such a proof. This seems to be one of those, "well it sounds reasonable so it must be correct" laws. Never once questioned as it is being questioned now. And it would seem that it was very easy to discredit it all this time. Hmmm...Sometimes I wonder if man will ever actually be even half of what believes himself to be ![]() Deal with that EL, and leave your condescending tone out of it, I didn't buy. Superiority isn't a matter of one's technobabble cache'. 'sigh' Richard Perry [EL] SR has nothing to do with asserting the fact that electromagnetic waves propagate at c in vacuum. You are giving Albert the credits of Maxwell by doing so. There is nothing faster than light to accelerate anything faster than light or are we going to violate the fact that energy may not be created or destroyed now? If you are driving a truck with speed limit 200 Km/h you may catch up with a Fiat and give it a push and accelerate it to death, but when you are in a Fiat how you, can catch up with a corvette zapping by at 180 km/h? To apply a force to a particle you need to catch up with the particle first and then push. Nothing can be accelerated to more than [c] because [c] itself cannot catch up with [c]. EL |
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#30
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(EL) wrote in message . com...
Richard wrote in message ... You are probably correct EL, but I don't believe that it's that complicated. All you need to measure is the dispersion, from there you can calculate the group velocity, as demonstrated nicely by this applet http://gregegan.customer.netspace.ne...ETS/20/20.html [EL] Ah! The applet. ![]() It is quite an amusing view, BUT. Let us analyze that applet to find out how tricky wave mechanics can be. ![]() Firstly, that applet is simply a dynamic graph. So let us assign some physical meanings to it before we proceed. The horizontal axis should be definitely TIME. BZZZZZT! |
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