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CERN Experiment Indicates Faster-Than-Light Neutrinos

intellitech writes "Puzzling results from Cern, home of the LHC, have confounded physicists — because it appears subatomic particles have exceeded the speed of light. Neutrinos sent through the ground from Cern toward the Gran Sasso laboratory 732km away seemed to show up a few billionths of a second early. The results will soon be online to draw closer scrutiny to a result that, if true, would upend a century of physics. The lab's research director called it 'an apparently unbelievable result.'" Also on the AP wire, as carried by PhysOrg, which similarly emphasizes that the data are preliminary. Update: 09/22 20:43 GMT by T : Reader Curunir_wolf adds a link to the experiment itself, the Oscillation Project with Emulsion-tRacking Apparatus, or OPERA, which "was developed to study the phenomenon of neutrino transmutation (neutrinos changing from one type to another. The speed of the neutrinos, of course, was an entirely unexpected observation."

53 of 1,088 comments (clear)

  1. Einstein replied "Check your measurements, son" by elrous0 · · Score: 4, Funny

    EOM

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    1. Re:Einstein replied "Check your measurements, son" by bre_dnd · · Score: 5, Informative

      It may still be a consistent measurement fault, but they've repeated it 15000 times. FTFA: "The team measured the travel times of neutrino bunches some 15,000 times, and have reached a level of statistical significance that in scientific circles would count as a formal discovery."

    2. Re:Einstein replied "Check your measurements, son" by MozeeToby · · Score: 4, Insightful

      No kidding, extraordinary claims require extraordinary evidence, and this is one mother of an extraordinary claim. Unlike most "fast than c" research that the media distorts, it actually sounds like it would be possible to transmit information using this effect, which essentially upends either relativity or causality. But, these aren't just some cranks doing experiments in their basements, and they are appropriately guarding their choice of words to emphasis the preliminary nature of the research which is a good sign. Hopefully the experiment wasn't too expensive and difficult to perform so we can get some people started on replicated (or refuting) the results.

    3. Re:Einstein replied "Check your measurements, son" by optymizer · · Score: 5, Funny

      Hold on, I just need to wipe the dust off of this LHC I keep in my garage and then we can try to replicate their findings.

    4. Re:Einstein replied "Check your measurements, son" by icebike · · Score: 4, Insightful

      Regardless of how many times you repeat a measurement with a faulty ruler, the measurements are still wrong.

      How precisely did they measure the 732km?

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      Sig Battery depleted. Reverting to safe mode.
    5. Re:Einstein replied "Check your measurements, son" by maxwell+demon · · Score: 3, Funny

      Hold on, I just need to wipe the dust off of this LHC I keep in my garage and then we can try to replicate their findings.

      Be careful with that dust. It may still contain some dangerous microscopic black holes from your last run. :-)

      --
      The Tao of math: The numbers you can count are not the real numbers.
    6. Re:Einstein replied "Check your measurements, son" by MozeeToby · · Score: 4, Interesting

      Fermilab has a similar setup which should be able to test the results. So does an experiment in Japan, T2K, but they aren't running at the moment because of the tsunami. The actual experiment shouldn't be too hard to do if you have the equipment to make a beam of neutrinos, just point them at a detector and fire away and see how long time of flight was, which means they could probably start working on it fairly soon, though it will probably take months or years to get enough data points to be statistically significant.

    7. Re:Einstein replied "Check your measurements, son" by Anonymous Coward · · Score: 4, Informative

      Which they point out in the article you didn't read.

      "But the group understands that what are known as "systematic errors" could easily make an erroneous result look like a breaking of the ultimate speed limit, and that has motivated them to publish their measurements."

    8. Re:Einstein replied "Check your measurements, son" by Anonymous Coward · · Score: 4, Insightful

      They must have overlooked this point. Usually only senior/nobel level reasearchers can understand the extremely complicated system of faulty rulers and suspicious measurement results. In my experience, turning the thing OFF and ON again, would have done it.

    9. Re:Einstein replied "Check your measurements, son" by Lisandro · · Score: 5, Funny

      How precisely did they measure the 732km?

      Why, by closely watching oxens plough!

    10. Re:Einstein replied "Check your measurements, son" by OverTheGeicoE · · Score: 3, Informative

      According to the ABC article, the particles are showing up 60ns too early. If the particles were in fact traveling at light speed, that would simply mean the detector was about 18 meters closer to CERN than they originally thought. Considering differences in altitude, oblateness of the Earth, the detector is underground, and so on, it isn't hard to imagine an 18m position error over approximately 732,000 m distance measured or calculated.

    11. Re:Einstein replied "Check your measurements, son" by Liquidrage · · Score: 4, Insightful

      So you're saying there's an 18m wormhole that makes these things get there "faster" than light. Or that they aren't capable of measuring to within 18 meters at that scale? I'd say that isn't very likely and I'd have a hard time imagining it. What I could imagine is that there's a mistake somewhere or equipment issue possibly. But repeated 15k times, and I fully trust the people at CERN OPERA to measure within 18m.

    12. Re:Einstein replied "Check your measurements, son" by Blade · · Score: 4, Insightful

      Yeh, I guess they never thought to check those two variables?

    13. Re:Einstein replied "Check your measurements, son" by ATestR · · Score: 4, Informative

      I seriously doubt that they would have an 18 meter bust, even if they were surveying using 1950's surveying equipment. Errors that creep in using simple trigonometry are on the order of 1:100,000. GPS is a whole lot more accurate.

      --
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    14. Re:Einstein replied "Check your measurements, son" by History's+Coming+To · · Score: 5, Interesting

      GPS will do it accurately enough. It's a 17m "error" on the part of the neutrinos, and GPS has an appreciably higher resolution than that. It's the "neutrino bunches" I'm looking at for the experimental error - this could be one of the leading-edge effects that's already known about with photons - the leading edge can arrive faster than c, but the rest of the packet is slowed down so the velocity averages out at c. Still, even if this is the explanation it would be the first time it's been observed in a massive particle as far as I know.

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    15. Re:Einstein replied "Check your measurements, son" by smelch · · Score: 3, Insightful

      The problem is if I observe a blaster shot from Han hit Greedo before I see Han shoot.... fuck it, this joke isn't worth the mind bending.

      --
      If I can just reach out with my words and touch a butthole, just one, it will all be worth it.
    16. Re:Einstein replied "Check your measurements, son" by Toonol · · Score: 5, Insightful

      Of course, but these aren't crackpots screaming that modern physics is wrong. They're getting puzzling results, even after doublechecking, so they're asking others to verify. This is the by-the-book scientific process.

    17. Re:Einstein replied "Check your measurements, son" by ilguido · · Score: 3, Informative

      In fact E = mc^2 + p^2/2m .

    18. Re:Einstein replied "Check your measurements, son" by shutdown+-p+now · · Score: 5, Insightful

      the knowledge that is the cornerstone of modern physics, knowledge that has been tested time and time again and found true, is upturned by one experiment?

      Well, it's not like it never happened before...

      If their finding is correct, it doesn't mean that previous experiments were wrong. It just means that things are more complicated than we thought them to be. It's a darker side of the Occam's Razor - you get rid of unnecessary things, sure, but how do you determine whether they are unnecessary? why, based on your experimental input - you need the simplest model that can explain the results that you see, and predict future results when you test it. Problem is, your experiments might not be covering some edge case, and therefore you didn't see the complete picture - and oversimplified your theory.

    19. Re:Einstein replied "Check your measurements, son" by MightyMartian · · Score: 4, Interesting

      Well, the proof, if you will, is that the faster anything travels, the more massive it becomes, and thus the more energy is required to accelerate it faster. Basically, any object that accelerates to c would become infinitely massive, or to put it another way, it would require an infinite amount of energy. In short, you cannot accelerate things to the speed of light. Photons basically come into existence at the speed of light.

      Since neutrinos do have a mass, it means that CERN couldn't have accelerated them to the speed of light, let alone faster. So either we have a mundane measurement error, or some new never-before seen physical effect has been observed. But considering how intimately linked c is to so many physical constants and laws, I'd say whatever has happened cannot have violated this most essential precept, though beyond the "our ruler is screwy", the possible alternatives make one's head swim.

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    20. Re:Einstein replied "Check your measurements, son" by jambox · · Score: 3, Insightful

      But, if they can send light down the same route and get the same result, then they can show a significant difference between the speed of it and neutrinos.

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      You thought you could break the laws of physics without paying the PRICE?
    21. Re:Einstein replied "Check your measurements, son" by daknapp · · Score: 3, Interesting

      It's worth pointing out that the mass of neutrinos has never been directly measured. The "mass" to which we refer is the mass required for a mixing matrix between the neutrino flavors. A more exotic definition of "mass" would be required if the current experimental result were to hold, in such a way that neutrinos wouldn't have "mass" in the sense to which we refer today.

      That's all speculative, of course, but the important point is, again, that the neutrino mass has never been directly measured. I know. I tried.

    22. Re:Einstein replied "Check your measurements, son" by Baloroth · · Score: 4, Informative

      Actually, according to Ars Technica, Fermilab got a similar result, but threw it out because the margin of error was too large. I'm guessing a lot of attention will be focused on neutrinos now.

      --
      "None can love freedom heartily, but good men; the rest love not freedom, but license." --John Milton
    23. Re:Einstein replied "Check your measurements, son" by Savantissimo · · Score: 5, Interesting

      "What's the alternative?"

      The alternative is not that Einstein was wrong, but that neutrinos have imaginary mass rather than real mass. This is consistent with observations. We can't measure neutrino mass in experiments, only mass squared, and the error bars on those measurements persistently include some small negative numbers. (And some of these measurements virtually exclude any positive mass^2 values. Other measurements purporting to exclude negative mass^2 values may be the result of over-correction and wishful thinking.)

      Imaginary-mass particles are consistent with relativity and were first theorized in the 1960s and given the name "tachyons". High-energy tachyons move near the speed of light; low-energy tachyons move at unlimited velocities. This accounts for the fact that the neutrinos from the 1987A supernova were only 18 hours ahead of the light from the explosion, despite the distance -- they were extremely high energy tachyons.

      If neutrinos are tachyons, this could account for a couple of odd things about them - the exceptionally low cross section (likelihood of interaction) and their oscillating between different flavors (electron, muon, tau). Exactly how is a job for the theoreticians, but it seems to me that a neutral particle moving effectively backward in time and at unlimited velocities coupled with low energies is not often going to interact, and imaginary mass could be likened to a rotation or oscillation, much like many other things involving imaginary numbers in physics.

      Physicist John Cramer talked about the idea back in 1992 in his Analog column: Neutrino Physics: Curiouser and Curiouser (Alternate View Column AV-54)

      of the six most recent experimental determinations of neutrino mass, all have given negative values of the mass-squared to within the statics of the measurements. The experimental observation is that in the vicinity of the end point the yield of electrons lies above the zero-mass line, while for neutrinos with non-zero real mass, the electron yield should lie below this line. The measured mass-squared values are negative to an accuracy of several standard deviations in the most recent of these experiments.

      These experimenters have been strangely quiet about mass-squared measurements with negative values. If the results had been positive by the same amount, the literature would be filled with claims that a non-zero value for the neutrino mass had been established. But a negative mass-squared is not something that can be easily publicized.

      You obtain the measured mass value from a mass-squared measurement by taking the square root of the measured value. However, the square root of a negative number is an imaginary number. Thus the measurements could, in principle, be taken as an indication that the electron neutrino has an imaginary mass.

      What are the physical implications of a particle with an imaginary rest mass? Gerald Feinberg of Columbia University has suggested hypothetical imaginary-mass particles which he has christened "tachyons". Tachyons are particles that always travel at velocities greater than the speed of light. Instead of speeding up when they are given more kinetic energy, they slow down so that their speed moves closer to the velocity of light from the high side as they become more energetic. Feinberg argued that since there are no physical laws forbidding the existence of tachyons, they may well exist and should be looked for.

      Here's a link to another, slightly more technical look at the idea: Neutrinos Must be Tachyons by Eue Jin Jeong. Googling "neutrino tachyon" also turns up several previous discussions.

      --
      "Is life so dear, or peace so sweet, as to be purchased at the price of chains and slavery?" - Patrick Henry
    24. Re:Einstein replied "Check your measurements, son" by mhelander · · Score: 3, Interesting

      But GPS tech relies on Einstein being right, no?

      So we have to assume Einstein was right in order to prove him wrong...?

  2. CERN IS faster than light by JetScootr · · Score: 4, Funny

    I searched for 'faster than light' on the CERN website, got articles posted in 2012, 2014. They put this new discovery to work right away!

    --
    Pavlov wouldn't be so famous if he'd used a can opener instead of a bell.
  3. Yay BBC News! by il1019 · · Score: 5, Insightful

    This was a rational piece without too many sensationalist remarks! How do we show them we appreciate decent scientific writing as opposed to the crap we normally get?

    1. Re:Yay BBC News! by StripedCow · · Score: 4, Informative

      Click on the advertisements.

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  4. Re:That small? by RobertLTux · · Score: 3, Interesting

    actually they are saying that this is off by about 6 times the error factor
    "CERN says a neutrino beam fired from a particle accelerator near Geneva to a lab 454 miles (730 kilometers) away in Italy traveled 60 nanoseconds faster than the speed of light. Scientists calculated the margin of error at just 10 nanoseconds, making the difference statistically significant. "

    still i think somebody is getting a speeding ticket (attached to a Nobel Prize maybe).

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  5. Re:That small? by Daetrin · · Score: 5, Interesting

    And if it's actually an accurate result then it doesn't matter how small the value is. As soon as you break the speed of light by _any_ amount then the theoretical doors are wide open. According to Einstein breaking the speed of light by even just one nanosecond is _exactly_ as impossible as Star Trek variety warp speed.

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  6. Re:Tachyons? by JordanL · · Score: 3, Informative

    Tachyons, if real, cannot decelerate. They also have imaginary mass according to special relativity. Of course, perhaps relativity isn't as complete a theory as we once thought.

  7. time travel.... by thephydes · · Score: 5, Funny

    There was a young lady named bright : who could travel much faster than light : She went out one day : in a relative way: and came back the previous night.

  8. Re:Which speed of light by Nadaka · · Score: 3, Insightful

    FTL != backwards time travel.

    If light takes 1 day to travel a distance and an FTL neutrino takes 23 hours, 59 minutes and 59 seconds to travel the same distance and then reflect both back at the source, the neutrino arrives 1 day, 23 hours, 59 minutes and 58 seconds after it is sent. That is distinctly not the past.

  9. What speed? by jeti · · Score: 4, Insightful

    Was it faster than the speed of light in the given medium or faster than the speed of light in vacuum?

  10. Re:Which speed of light by _0xd0ad · · Score: 4, Informative

    The speed of light in a vacuum (c) is a constant. The speed of light in a non-vacuum is not.

  11. What about a supernova? by hort_wort · · Score: 4, Interesting

    Neutrinos have been observed coming from supernovae from light years away. There would have been a very noticeable time difference between the neutrinos and the light at that distance if this were true. (Any astrophysicists about to verify this?)

    I'm skeptical. I think it was likely a wiring problem. It only takes a few centimeters of wire to make a 60ns delay, and these experiments are notorious for using many wires.

    1. Re:What about a supernova? by radtea · · Score: 5, Interesting

      Neutrinos have been observed coming from supernovae from light years away. There would have been a very noticeable time difference between the neutrinos and the light at that distance if this were true. (Any astrophysicists about to verify this?)

      SN1987A results were consistent with neutrinos moving at c, although the precise detection time of the optical signal was some hours after the neutrino signal (which was found in subsequent analysis.) John Simpson tried to use an argument about times and average energies to argue for a slightly later than expected arrival time, to support his 17 keV neutrino.

      These results are 60 ns in about 2 ms, or a factor of 0.00003. The LMC (home of SN1987A) is 160,000 light years away, so this would have the neutrino signal arriving several years ahead of the optical signal.

      Ergo, your skepticism is justified. Good call on the comparison measure.

      --
      Blasphemy is a human right. Blasphemophobia kills.
    2. Re:What about a supernova? by epine · · Score: 3, Insightful

      It only takes a few centimeters of wire to make a 60ns delay

      There are people in the battery industry who will knocking on your door shortly to seize your dielectric material in the interest of national welfare. You need a dielectric constant on the order of 1,000,000 to achieve this (in the context of telegrapher's equations, speed of light varies as sqrt(e_r)). By comparison, relative permittivity of barium titanate ranges up to about 10,000.

      You might want to check your math. It takes only a few keystrokes to google "2cm/c in ns".

      It would be nice someday if Google would give "2cm/c in ps" the same stature. What a world. Even the metric system can't get a fair shake.

  12. Effect isn't that big by MetricT · · Score: 3, Insightful

    The numbers in the Reuter's article show the speed of light for neutrinos is 1 part in 40,000 times faster than the speed of light for normal matter.

    I don't think this involves causality violations just yet. All our speed of light experiments to date involve measuring particles involving the electromagnetic force (protons, electrons, photons). Even if confirmed, it could be that there's some measurement error in the EM-derived speed of light, which the neutrino is immune to. In which case, it's not useful for time travel. It simply means our measurement of c was off by a smidge.

    And given the small size of the result, if FTL neutrino communication is proved true, I expect the only real-world application would be financial companies trying to squeeze a few more nanoseconds off NYC-London communications.

  13. Error in measuring distance perhaps ? by adisakp · · Score: 5, Interesting

    The detector is 732km away for the emitter and light travels at 299 792 458 m/s. In one billionth of a second, light only travels 29.9 cm. If they are off in the precision of measuring a 732km distance by even as little as 30 cm (~1ft), then their timings will be off by 1 billionth of a second.

    1. Re:Error in measuring distance perhaps ? by KingofSpades · · Score: 5, Informative

      They claim they are confident about the distance to within 20 cm.

    2. Re:Error in measuring distance perhaps ? by shutdown+-p+now · · Score: 3, Informative

      They say they've ran the experiment 15,000 times. I would imagine this does involve more than one calibration of instruments.

  14. Re:First Post by Tanktalus · · Score: 4, Insightful

    Consensus != universal fact. Consensus == our best understanding of universal fact. There's a difference. Real science is always open to upending.

  15. Re:Why is this impossible? by LateArthurDent · · Score: 4, Insightful

    And why would this result be impossible?

    It's impossible according to current theories. It's not impossible that current theories are wrong, but very highly improbable to be wrong in this way, given the amount of corroboration we have for the speed of light being an absolute limit and for the time-dilation effects, which would cause faster-than-light particles to violate causality.

    Nevertheless, the data is the data, and that's why they're publishing it. Somebody else will find a measurement error (most likely) or we'll get exciting new physics (much less likely, but would be pretty awesome).

    Many have posted that the instruments were flawed or the scientists made a mistake, but not too long ago scientists were 100% certain that the world was flat too.

    Actually, I'd say that was very long ago. Considering Eratosthenes not only knew that the Earth was round, but was able to calculate the circumference to remarkable accuracy way back in ~200 BC. Note that it wasn't him that decided the Earth was round, that was already common knowledge. He figured out the circumference.

    Just because scientists currently believe that nothing can go faster than the speed of light doesn't make it so. Our views of the universe are always changing and saying that a result is "impossible", no matter how unlikely the result, is a bit short sided.

    That's true, however as many others have pointed out, extraordinary claims require extraordinary evidence. A single experiment just isn't enough. If we have sufficient confirmation of faster than light effects, scientists will most certainly welcome the result. Unexpected data opens up new opportunities for lots of papers. Scientists live for that, literally. It's what puts food on the table :)

  16. Re:distribution by coolmadsi · · Score: 5, Informative

    Eh, this happens every few years... what tends to be the case is someone gets a hold of one of the charts where velocities were recorded and due to measurement issues there is a probability curve rather then a simple line... normally you use the curve to determine what the actual velocity was, but you always get at least a couple yahoos that look at the curve, notice that one of the tails goes above C and get all excited that something is going faster then light.

    Good thing they are are going to put the findings online to be checked then (they have been looking for errors and have been unable to find any so far).

    The result - which threatens to upend a century of physics - will be put online for scrutiny by other scientists.

    In the meantime, the group says it is being very cautious about its claims.

    "We tried to find all possible explanations for this," said report author Antonio Ereditato of the Opera collaboration.

    "We wanted to find a mistake - trivial mistakes, more complicated mistakes, or nasty effects - and we didn't," he told BBC News.

    "When you don't find anything, then you say 'Well, now I'm forced to go out and ask the community to scrutinise this.'"

    Source: http://www.bbc.co.uk/news/science-environment-15017484

  17. Re:Why is this impossible? by Desler · · Score: 3, Insightful

    Yep it's a myth propagated by anti-science nuts. First popularized by religionists who were angry over evolutionary theory to try to discredit the science.

  18. Re:Not so fast... by epine · · Score: 5, Interesting

    To me a nanosecond seems pretty big. I've spent a chunk of my time over the last couple of years designing consumer circuits sensitive to changes of 10ps in signal arrival time due to changes in the surrounding bulk dielectric.

    You haven't lived until you've read a datasheet with the performance spec:

    Deterministic jitter: 300 fs.

    Probably a PECL part, but still.

    And no, they're not using an instantaneous tau to approximate a decay distribution. Anyone who has ever cooked popcorn knows better than that.

  19. Re:Not so fast... by ChinggisK · · Score: 4, Funny

    And no, they're not using an instantaneous tau to approximate a decay distribution. Anyone who has ever cooked popcorn knows better than that.

    Completely wrong. I've cooked popcorn and I have no idea what "instantaneous tau to approximate a decay distribution" means.

  20. Re:Not so fast... by ceoyoyo · · Score: 3, Insightful

    "That's a fallacy. Just because he's been crazy in the past doesn't necessarily mean he's being crazing now. Argue about the idea not the person."

    It's a logical fallacy, which means it's technically a fallacy in a formal logic system. The fact that he's been crazy in the past doesn't PROVE he's crazy now. However, being crazy in the past is significantly correlated with being crazy now, so the likelihood he is crazy now is increased by his being crazy in the past.

    As for the "idea," his basic idea is summed up by the sentence "Of course they're wrong, but I can't tell you exactly why." The quoted paragraph, for example, is ridiculous - you can take a noisy but unbiased measurement and improve the margin of error by averaging over many measurements (which is of course what they did). As for the rest of it, he brings up a lot of things that suggest faster than light particles are theoretically problematic - of course they are. I didn't see any part where he actually addresses the experiment itself, although I did start skimming a bit after reading a page long random story about a pigeon shitting in his pants.

  21. Verification test? by The+Living+Fractal · · Score: 3, Interesting

    This is ridiculously stupid and simple to ask, but I'll fire away anyway...

    Never stopped me before, why now?

    Did they or do they have some way of sending a 'normal' light signal, like say a powerful radio wave, across the same distance and measuring the travel time? If they see it's 60ns longer than the neutrinos then I think we're getting somewhere, neh?

    --
    I do not respond to cowards. Especially anonymous ones.
  22. Re:That small? by Plekto · · Score: 3, Interesting

    This is actually the most likely and rational solution, believe it or not. I posted this as well (it's taking time to read down this huge thread). A "vacuum" might actually be full of stuff, and as we have shown, light can be slowed and even stopped/frozen, given the right matter and space to interact with. If C is as fast as light can go in normal space, well, subatomic particles that don't necessarily interact with space the same way (and tend to go through it entirely) very well could travel faster. Exactly like how light travels through water at a specific speed. "Space" might be also be slowing it down.

    Given the mass difference between a photon and a neutrino (yes, a photon does have a stupidly tiny mass, though it's calculated - and way beyond any of our detectors currently), the actual speed of light in a real environment where nothing is creating drag on it might very well be thousands of times faster.

    No rules get broken. Einstein simply assumed (wrongly) than a vacuum was apparently empty when it's not as far as light is concerned. Note - even his theories are intact, as the "in a vacuum" clause still holds true.

  23. would we have noticed? by nten · · Score: 3, Informative

    If we detected a neutrino pulse would we have a good enough estimate of direction to look for the light? Or even the notion that we *should* look for a pulse of light several years later in the same region of sky? If we did record both by happenstance, would anyone have correlated the two events? That is weird enough that I'm thinking they wouldn't.

    --
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  24. Phase Velocity vs Group Velocity: C is Constant! by MichaelCrawford · · Score: 3, Informative

    I am intimately familiar with the interaction of light with matter as a result of having been an avid Amateur Telescope Maker and Amateur Astronomer since the tender age of twelve.

    This led to my acceptance to study Astronomy at Caltech in the Fall of 1982, where I was privileged to attend a non-credit class called "Physics X" that was taught by The Immortal Richard Feynman. You could ask him any question you wanted - it didn't have to be about Physics even - but the ensuing discussion had to be purely conceptual. Questions that would require Feynmen to work out equations on the chalkboard were not permitted.

    One afternoon I pointed out to him that the phenomenon that light slows down as it passes through a medium just had to be wrong. When one examines any medium at a subatomic scale, it is mostly empty vacuum with some rare particles that have all been either proven or are suspected to be geometric points. (While Protons and Neutrons have a non-zero diameter, they are each composed of three quarks, which themselves are thought to be point particles.)

    "Surely," I pointed out to Feynman, "When light passes through all this vacuous space inside a piece of glass, it always travels at precisely C! How could Snell's Law" - which yields the angle of refraction when light passes through the surface of a medium - "possibly be correct!"

    I knew damn well that Snell's Law was correct, as Snell himself experimentally demonstrated the law hundreds of years ago. While he did not measure what the Speed of Light had to do with refraction, we have been able to measure light's speed for over a century.

    Feynman replied that when light passes through matter, the charged particles in that matter oscillate in sympathy with the oscillations of the light's electomagnetic field. But because they are all in a bound state, and because accellerating charged particles causes them to emit light of their own, thereby carrying away energy and so dampening their sympathetic oscillation, the movements of the charged particles in matter is not quite in phase with the waves in the light passing through the medium.

    Feynman concluded, "The light emitted by the charge particles in matter interferes with the light passing through the medium" - that is, wave peaks add to wave peaks, and so with troughs, while peaks and troughs together cancel each other - "so that the resulting combination of light waves only appears to move slower than C."

    Thus the Photons are always moving at a constant velocity of C, but all the Photons in the medium interact so that passing a Photon through the medium will result in the exit Photon being delayed from the timing you would expect from when the entrance Photon entered the front surface. They key to understanding all this is that the entrance and exit Photons are NOT THE SAME PHOTON!

    Feynman discusses this in a really lucid way, with rigorous mathematics, in Volume II of The Feynman Lectures on Physics. Volume II covers Electricity and Magnetism, Volume I covers Classical Mechanics - Newton's Laws of Motion and such - while the third volume does Quantum Mechanics. The set of three is expensive but are easy to read, even if you don't know much Calculus, and would be a good investment for any Slashdotter.

    I was mortally embarrased to realize years later that I had asked Feynman a really basic, purely conceptual question whose completely rigorous answer led to him sharing the 1965 Nobel Prize with Tomanaga of Japan! Their Quantum Electrodynamics describes the interaction of light with electric charge with complete precision.

    Feynman's formulation uses a conceptual drawing called a Feynman Diagram as a calculational and explanatory device. I don't know how Tomanaga formulated his Quantum Electrodynamics, but my understanding as that at first no one could understand why the two theories seemed quite different but always yielded the same numerical results. Some time later Freeman Dyson - Esth

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