Yes, it's true! You can move something on the moon faster than the speed of light. It's all in the wrist.
You will need:
Why try to get an object to travel beyond c (the speed of light)? Another way to move faster than light is slowing down light or even stopping it.
Photons are massless, and that's why they can travel as fast as they do. So we need to weigh photons down in order to slow them down.
The technique to accomplish this requires warm rubidium vapours, a glass cell and two lasers, a "control laser" and a "signal laser". The signal laser is the one to be stopped. Using the control laser, we can cause rubidium gas in a glass cell to become "dispersive" -- in other words, the velocity of light passing through the gas depends sensitively on the colour of the light. In such a dispersive gas, atoms and photons interact strongly. Effectively dragged down by strong interactions with atoms, the photons will slow to a "crawl". An atom-photon system like this is called a "polariton".
Next we reduce the intensity of the signal laser until the polariton is 100% atomic. There will be no photons left inside the chamber. Yet the imprint of the photons will remain -- on the atoms themselves. Information describing the fading laser pulse will be stored, like a code, in the up-and-down patterns of the atoms' spin axes, from where it can be released afterwards by another laser beam directed through the chamber.
Does this sound like science fiction to you? It's only quantum physics. Scientist at Harvard University managed to slow down light by sending it through atomic vapours (extremely cold sodium gas can be used as well as warm rubidium) in 1999 and to stop it completely about two years later. So all you need to travel faster than light is a bicycle and a Harvard quantum physics lab to drive by.
The basic idea in special relativity that nothing can travel faster than the speed of light is a consequence of the Lorentz transformation equations, which if they hold exactly, it would indeed be true that getting to the speed of light would require infinite energy. There are, however, indications that Lorentz invariance indeed does only hold as an approximation. There is a growing body of evidence, both theoretical and experimental that shows that some of the predictions of Lorentz invariance do not exactly hold.
First from a philosophical standpoint. The two pillars of modern physics of the present day, quantum field theory and general relativity, both developed and use equations that describe the vacuum that look remarkably like the equations of fluid mechanics, i.e. they describe free space as though it were a material medium. In classical fluid mechanics with the linear partial differential equations that are used to approximate the behavior of the fluid, we have the result that exceeding the wave speed of the underlying medium would result in infinite pressure. Naively, we might then say that it's impossible to break the speed of sound in a medium. Of course, everyone knew that these linear equations were only approximations and more complicated nonlinear equations needed to be developed to describe the behavior of the fluid at transonic and supersonic conditions. From this point of view, we might say that the same situation might be true for these equations that are being developed at the frontiers of modern physics.
A seeming sign that Lorentz invariance does not hold exactly comes with the formulation of quantum electrodynamics, and Richard P. Feynman's infamous renormalizations. The requirement for mass and charge renormalizations in QED is a signal that Lorentz invariance is not quite holding up. These deviations in intrinsic mass (not to be confused with the relativistic mass increase) and charge occur not only in the presence of very strong electromagnetic fields such as near an atomic nucleus, but also as the speed of the particle increases, meaning that the deviation from Lorentz invariance actually gets worse with increasing speed. Which is exactly what one would expect with the analogy to a material medium given above. One might wonder that perhaps Feynman's cavalier attitude to the mathematics in that instance has obscured something more fundamental. The fact that subsequent quantum field theories have followed the same pattern may have made this obscurity even worse.
General relativity also gives indications that Lorentz invariance should only be taken as an approximation. It is stated by the theory that in real curved space with real bodies inducing their own spacetime curvature, Minkowski space cannot exactly hold, in other words, Lorentz invariance does not exactly hold in real curved space. General relativity also seems to give a similar result as quantum field theory in that that deviations from Lorentz invariance get worse with increasing speed.
So what does this all mean? If Lorentz invariance can be shown to not exactly hold, then it is indeed likely that all of its other predictions are approximations as well, that in particular its prediction that physical objects cannot move faster than the speed of light is an approximation, and that at high enough energies, it is possible to go faster than c. I know, I know, this is all highly speculative, but then again, it seems that this doctrine of Lorentz invariance has reached the status of dogma among scientists, and anyone who questions its "absolute truth" is immediately labeled as a crackpot propagating heresy and any possibly valid arguments that might have been made are discarded solely on that basis. This is not the way science progresses.
The original source for much of this wu (which I have paraphrased and summarized) comes from the discussion in http://science.slashdot.org/article.pl?sid=01/02/09/1312244&mode=thread&tid=134, "Experiments Poke Holes in Quantum Physics". See especially postings written by rgclark. The original Slashdot article had to do with the anomalous measurements of the muon magnetic moment that cannot be derived from modern theory, and could be further evidence that the Standard Model is invalid, and that the Lorentz invariance it takes for granted cannot be perfectly accurate.
And by the way, going faster than the speed of light does not necessarily imply a violation of causality: it could be that there is a special inertial frame of reference and that the principle of relativity needs to be abandoned, yet another idea considered heretical by most physicists.
Update: Some Australian researchers from the University of New South Wales have today (August 7, 2002) announced that they have detected some deviations in the value of the fine structure constant while observing light from a distant quasar 12 billion light years away, meaning that the light was generated only a short time after the creation of the universe. The value of α that they obtained was slightly higher than the traditionally measured one. Since the fine structure constant depends both on the electronic charge and on the speed of light, it could mean that either the value of the elementary charge has increased since the birth of the universe, or the speed of light was slower. Other observations they made rule out the possibility that elementary charge has changed as it would violate the Second Law of Thermodynamics. This could be construed as further possible evidence that Lorentz invariance is inexact. It seems the fine structure constant node already has some wu's about related discoveries. The article is: http://theage.com.au/articles/2002/08/07/1028157961167.html
Imagine a lighthouse situated at a given distance from a wall of infinite length. At t = 0, the beam of light is perpendicular to the wall.
--*-------------------------------------------------------- | | | | L angle = 0
--|----*--------*--------------*--------------------------- | / ~ _ - | / ~ _ - | / ~ _ - |/~_ - L angle = 30, 45, 60...
* * * * * * * * * --*--------- ------*------------ -----------*------------------ * * * L* L * L * * * * * * *
* * * * * * * * * * ------*--- ----------*-------- -----------------------*--- * * * L * L * L * * * * * * * * * * * * *
That said, it should be possible to create a point of light that appears to move faster than the speed of light - if the lighthouse beam began parallel to the wall and rotated so that the beam moved in the opposite direction from that of the first example, the point of light created by the beam should appear to move faster than light (and indeed, at a theoretically unbounded speed). Of course, to put this into practice you would need an infinitely long wall1, but given that it's simply a matter of getting photons to strike specific points at specific times, it wouldn't be that hard to kluge something similar.
1ariels points out that the infinitely long wall is only necessary if we want the point of light to move infinitely fast - in order to go faster than light, a really, really, REALLY long wall would suffice.
I seem to have read somewhere that some things could move faster than the speed of light. It was said that the imaginary point where the two blades meet in a pair of scissors can travel at speeds faster than light, given a sufficiently long pair of scissors, even if the individual particles that constitute the mass of the scissors don't approach that speed.
When you close a pair of scissors, the aforementioned imaginary point travels the length of the scissors in a certain amount of time (the exact amount of time you take to close the scissors). The moment when the point reaches the pointy end of the scissors could be defined as the moment the scissors are completely closed; the moment the two blades align at their pointy end.
Now imagine we have a pair of scissors that are roughly 744,000 miles long and slightly open. They don't have to be uber-large, just uber-long. We'll say the fulcrum is at the exact center of their length, at 372,000 miles from either end. Now, Alice and Bob synchronize their watches and Alice stands at the rounded end of the scissors, with Bob making a short journey and manning the pointy end. Let's have Alice close the scissors, starting at precisely noon. What's more, lets have her do it naturally, taking only a quarter of a second to fully close them. Let's have Bob observe the pointy end and take down the time when they are fully closed. After the experiment, Alice and Bob will meet somewhere and compare their observed times.
So you might say that Alice started closing the scissors at 12:00:00.00 and Bob saw his end of the scissors close at 12:00:00.25, meaning that the imaginary point traveled the full 372,000 miles from the fulcrum to the pointy end in only a quarter of a second. The speed of light in a vacuum is roughly 186,000 miles/sec, so you might say that the point traveled at eight (8) times the speed of light. If you did say those things... you obviously weren't there when Alice and Bob compared their times.
See, the kicker is this: Information cannot travel faster than light. Period. If Bob is standing on the pointy end of this pair of scissors, he won't actually witness the closing at the same moment as Alice. Why is this? We must ask ourselves how the pointy end of the scissors knows when the other end has been closed? The atoms in the scissor material bump into one another conveying the energy along its length via a compression wave, much like the balls in Newton's Cradle. This compression wave of particles can only travel at the speed of SOUND in the given medium, likely steel if that's what our scissors are constructed of. The speed of sound in steel, depending on the exact alloy, is roughly 12,300 miles per HOUR. So when Alice closes the scissors, it's going to be 06:15:00.00 THE NEXT DAY before Bob knows it, and consequently, 30 hours and 15 minutes between the time that the little imaginary point left Alice and made it to Bob. The speed of the compression wave in a solid is a function of the elasticity of the solid. With rubber scissors, it will take even longer for Bob to get closure.
The concept gets even weirder when you make the scissors longer. For a pair of steel scissors that are seven light years long, it will be 381,554 years from the time force is applied until the pointy end actually closes. That little point, whether the individual particles of the scissors moved uber-fast or not, cannot move faster than light. Hooray physics!
Update: Many thanks to Santo for correcting my originally incorrect assumptions and pointing me in the right direction concerning compression waves.
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