FTL Currents May Power Pulsar Beams
thomst passes along news out of the recent AAAS meeting of a new explanation for pulsar beams that involves faster-than-light currents. Here are Los Alamos's press release and three related papers on the arXiv. "The new model explains the beam emissions from pulsars as products of superluminal currents within the spinning neutron stars' atmospheres. According to the authors' model, the current generated is, itself, faster than light, although the particles that compose it never individually exceed the universal speed limit, thereby preventing Einsteinian post-mortem rotation. The new model is a general explanation of the phenomenon of pulsar beam emissions that explains emissions at all observed frequencies (and different pulsars emit everything from radio waves to x-rays), which no previous model has done."
Can we replicate this and add information to the current to transport information faster than the speed of light? (The real problem.)
We know the speed of light in some mediums is less than c (see cherekov radiation). Is it possible the speed of light is greater than c in some mediums? You have to admit that a neutron star is pretty exotic stuff. What about negative-index metamaterials? Beyond that (and this may be non sequitur) maybe a concentration of "dark energy" has properties we don't understand.
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It's interesting to watch as the /. crowd's replies to the technical question in the post become both less succinct and more smarmy as you get further down the comments. I have not yet attempted to correlate this phenomenon to user id number.
Your post is basically on the right track, but some thing you say are not quite right.
Well, not quite.
In flat spacetime, velocities greater than c lead to violations of causality: observer 1 says that event A caused event B, but observer 2, in a different state of motion, says that B caused A. Since violation of causality can produce paradoxes, we suspect that cause and effect can't be propagated at velocities greater than c in flat spacetime.
In curved spacetime, this is far from being established. General relativity has spacetimes, such as the Godel solution, that are valid solutions of the field equations, and that violate causality. Hawking's chronology protection conjecture says that this kind of causality violation can't arise from realistic conditions in our universe -- but that's all it is, a conjecture. Nobody has proved it. In fact, there is a major current research program that consists of nothing more than trying to *define* rigorously what the chronology protection conjecture means.
Okay, but the prohibition on transmission of cause and effect at velocities greater than c isn't a conservation law.
I think the analogy here would be the following. Even the slashdot summary makes it clear that they aren't really claiming propagation of information at velocities greater than c. That's also reasonable, because although a neutron star is a relativistic object, it's not all that highly relativistic. Its structure is complicated from a nuclear physics point of view, but from the point of view of the relativistic description, it's a very plain vanilla solution of the Einstein field equations. If information was going to be transmitted at greater than c, then the chronology protection conjecture would also be violated, but that's not going to happen in such an ordinary, well studied spacetime.
It is not safe to use your criterion to rule out examples from general relativity without more attention to the details. Based on your criterion, the Godel spacetime has to be a crackpot idea, and so is the Alcubierre drive. In reality, there is a clear consensus among relativists that the spacetimes found by Godel and Alcubierre are correct -- it's just not clear how to interpret them, or whether they could actually arise from realistic conditions in our universe.
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It's not so much needed a better system of propulsion. It's that, as you approach light speed, your mass increases. This means you need more fuel to push yourself faster. This more fuel increases your mass, which is still increasing exponentially as you get closer and closer to light speed.
The exact formula is:
M = MassAtRest / sqrt(1 - (v/c)^2)
At 0.5c, your mass would be about 1.3 times your rest mass. At 0.9c, you'd be nearing 2.3 times rest mass. At 0.99c, you'd have passed 7 times rest mass. At 0.999c, 22 times rest mass. And so on.
Now what happens if you go faster than light? (Supposing you somehow "skip over" the light speed barrier.) You get into imaginary numbers. For example, at 2c your mass would be MassAtRest / sqrt(-3). What does that imaginary number translate into? There are many theories, but no firm answers. The equations for velocity and time are similar so some theorize that it means going back in time. Others say the imaginary numbers mean it just can't be done. Still others think that this just shows where relativity breaks down and a new set of equations is called for.
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The spots won't be moving faster than light, they will actually be a blur or line spread across the surfaces they hit.
You're confusing perception with reality, and they are two very different things.
I think the GP was right, any you may have it backwards. The human eye will perceive a blur or line, due to the limited "frame refresh" and averaging of our optical system. In reality, though, the "spot", as defined by the location where the photons are hitting/reflecting from the surface, will be traveling faster than light. No information can be conveyed, however, as no point on this surface can directly use this phenomenon to actually communicate anything faster than light.
>> Standing on head makes smile of frown, but rest of face also upside down.
Ok, back to physics 102.
This is where you need special relativity. Nothing can move faster than the speed of light relative to anything else, regardless of what reference frame the observer is in. If each train is traveling 1/10c relative to the train below it, an observer on the ground will see the twelfth train traveling at 0.869c.
Also, due to length contraction, if the first train was long enough to reach around the globe when stationary, it will be some 200 km too short when traveling at 0.1c, each subsequent train will be shorter yet.