Two Interesting Questions, and Answers

By JoAnne Hewett | February 19, 2007 6:00 pm

A reader sent the following interesting questions:

Question I: Why doesn’t light make a sonic boom when it travels. I know its a maseless particles, but the energy in it gives it an effective mass via matter-energy equivialnce. But lets go a step forward. Why don’t messenger particles WITH mass like the W and Z boson’s make a sonic boom? They do in fact have a true mass. Or even protons in a particles acceleration traviling around Fermilab at near the speed of light make the sonic boom? Does that mean there must be a critical mass to make a sonic boom, and if so, what is it?

A true sonic boom is a shock wave. A sonic shock wave results when an object like a fast plane travels at a velocity greater than that of sound in that medium. The wave travels at an easy-to-calculate angle to the direction of motion of the object, since the object is at the leading edge of the wave creation front, and the wave emanates in a sphere from that point and spreads outward in all directions at the speed of sound. A similar effect results from a boat travelling in water: the V-shaped bow wave is in fact a shock wave.

So what about light? Well, almost. When an object like a charged particle travels through a medium (glass, or even air) in which the speed of light is less than c, the speed of light in a vacuum (300,000,000 m/s), it gives off a light shock wave. This sort of shock wave is called Cerenkov radiation, and it is VERY useful to us experimental types because it tells us we have a very fast particle going through our detectors. Now, a Z boson is electrically neutral and will not give Cerenkov radiation. A W boson has charge, and could do so in principle, but in practice its lifetime is so very short it does not travel even a microscopic distance before decaying. As for the protons circulating in the beam pipe at Fermilab, well, that’s a vacuum (and a pretty good one) so they don’t exceed the speed of light in that medium.

Light, or electromagnetic radiation in general, does not cause such a Cerenkov shock wave, but it does exhibit some other odd effects when passing through matter. For photons with wavelength roughly in the visible spectrum and shorter, you get the photoelectric effect (for which Einstein won his first Nobel Prize – it was not relativity), the Compton effect (for which, you got it, Compton won the Nobel), and for really high energy photons (gamma rays) you can get electron-positron pair production, the easiest way to make the antimatter version of electrons, and also very useful for the experimentalists. Then you also have nuclear photoabsorption, and the very odd Mossbauer effect. Happy reading!

Questions II: Why doesn’t a duck’s quack echo? The only thing I can think of is the fact that the reflecting sound waves quickly colliding negating each other, but that;s just a thought. Truth be told I have no idea why.

Who said a duck’s quack doesn’t echo? It absolutely must, just like any sound wave, off a reasonably flat surface.

CATEGORIZED UNDER: Miscellany, Science
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  • http://quasar9.blogspot.com/ Quasar9

    Hi John, nice to see a question from the comment box answered as a ‘matter of fact’ in a post.

    Question – where did light begin, or did light start the whole thing. And why do we presume an object 13.7 billion light years away to be only 13.7 billion years old?

    And if it takes the furthest light 13.7 billion years to reach us, how long did it take said light (or the object either emitting or reflecting light) to reach where it is emanating light from?

  • Gavin Polhemus

    I don’t think that the question about the sonic boom from light was answered by this post. I think the reader is actually asking about why light doesn’t cause a SONIC boom. Here is the answer: airplanes and other objects push air out of the way when they travel through it. It is this push that causes the wave. When the object is traveling vaster than the speed of sound, the waves get piled up, causing the shock wave or boom. Since air is transparent, light travels though it without pushing it out of the way. Therefore it produces no sound waves and no sonic boom. The mass of the object doesn’t matter. All that matters is if it pushes the air.

    John made a very interesting point about how objects can make Cerenkov radiation (an optic flash). Charged particles make this flash because they distort the electromagnetic field as the travel. Photons do not distort the electromagnetic field, so they cannot cause the flash.

    Gavin

  • Chaz

    The echo-less quack myth was debunked on an episode of the TV show Mythbusters. :-)

  • http://math.ucr.edu/home/baez/ John Baez

    I bet if you sent a strong pulse of light through a medium that interacted strongly with light you could get something akin to a sonic boom. You just need some way for the light to transfer its energy to vibrational modes of the medium.

    Any experimentalists out there?

  • Paul Schmit

    I believe Gavin was correct in his definition of a sonic boom, it is the result of an object forcefully displacing a region of a medium at a velocity faster than the natural kinetic wave velocity, resulting in an enormous compression wavefront that forms and moves away from the source at the wave velocity characteristic of that medium. For something akin to a sonic boom, consider plasma wakefield accelerators. However, in a wakefield accelerator you’re dealing with an extreme field gradient produced by a high energy laser pulse forcing the rapid displacement of electrons in an ionized medium, as opposed to an extreme mechanical pressure gradient.

  • http://leisureguy.wordpress.com LeisureGuy

    I am heartened to see the answers to questions from a non-scientist. One question that continues to bother me, and I have yet to see addressed, is why the big bang was not a black hole? All the mass of the universe concentrated at a point? Doesn’t that sound very like a black-hole situation? Why — how — could the universe escape black-hole destiny? Any hint greatly appreciated.

  • Ashlie

    LeisureGuy: We’re inside the black hole.

    OK, not really. I just like to mess with people’s minds. :) As I understand it, it has to do with negative energy (pressure, cosmological constant) balancing out positive energy, but it’s possible that I don’t understand it correctly. OTOH, maybe my first explanation is (also) correct.

  • JimV

    “And why do we presume an object 13.7 billion light years away to be only 13.7 billion years old?”

    Maybe I’m not following what you mean. Your question seems meaningless to me because it starts with the false presumption that we have seen any objects which are 13.7 billion light years away. To my knowledge we have not and can not. (Maybe in a few more billion years we will be able to.)

  • Thomas Francis Ryan III

    John,

    Thank you very much for answering my questions in the first place. Secondly in such a timely manner (a matter of only a few hors!!). Lastly for posting it on the blog.

    That sonic boom things has been bothering me for months and the only thing i could think of was the mass was to low to hear, but then i realized our detectors are so sensative these days, they’big pick up even a minor one.

    As for the second question, it turns out it was an old wives tale or urban legend which is why i couldn’t figure out any feasiable reason for it to happen.

    @Gavin, You are 1/2 right that he didn’t answer my question, but did a big deal of it. You filled in the rest gavin, so thank you and much love and thank you for the time and instative to care enough to do that.

    @John: Thank you so much, this is why i love this place: Great thinkers who want to share their knowledge to greater enchance the understanding of how our universe to non-physicts. You’ve been nothing but social and kind. I really would like to thank you for not only the promptnress, the validation pride to send a question worthy enough for a post, being so approachable and willing to take time out of your private life to do so.I really admire that.

    ~Rom Ryan III

  • http://elvis.trippy.org/ng efp

    why the big bang was not a black hole? All the mass of the universe concentrated at a point? Doesn’t that sound very like a black-hole situation?

    IANAC (I am not a Cosmologist), but I thought it would be fun to give this question a crack. A black hole is characterized by the presence of an event horizon, which divides space time into two distinct regions (inside & outside). The Big Bang singularity is all of spacetime itself at a single point, not a point of infinite density within spacetime, so there’s no where for an event horizon (or anything else) to be.

    That’s a somewhat lame way to point out a qualitative distinction between a black hole singularity and the Big Bang singularity. You might also ask, shortly after the big bang, wouldn’t the mass/energy density within space have been large enough to form event horizons everywhere? This requires a more technical explanation.

    The Schwartzchild metric describes spacetime outside of a spherical mass. The event horizon is possible because the signs of the spacelike/timelike coordinates can switch (so a black hole singularity is more properly thought of as a time, not a place).

    The Friedmann (et. al.) metric describes spacetime with the mass/energy evenly spread out everywhere. Note there’s no way to change the signs, thus no event horizon possible at any mass density.

    So, event horizons are only possible at local concentrations of mass. In the early universe, density fluctuations would have been very tiny, so any primordial black holes that formed would have been very tiny.

  • http://definitions.wordpress.com Joshua R

    what if it’s a well insulated duck?

  • Travis

    I’d like to have someone explain why a witch weighs the same as a duck.

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Not to derail John’s thread, but I Am A Cosmologist, so I’ll chime in on the classic why-isn’t-the-universe-a-black-hole? question. There are theorems in general relativity that say that, if you have enough energy in a region, and it obeys various sensible conditions, then you will definitely have a singularity (the Hawking-Penrose singularity theorems). Our universe does have enough energy to qualify. So where is the singularity? In the past! It’s the Big Bang. Our universe is not a black hole, but it’s very similar to the time-reversed version: a white hole. We all came out of the singularity, according to classical GR. Probably once we understand quantum gravity, we’ll realize that there never was a singularity, but that’s another topic.

  • Albert Einstein

    You write of my “first” Nobel Prize. Please tell me where to pick up my check for the second, which is news to me. Thanks! -Al

  • http://blogs.discovermagazine.com/cosmicvariance/john John

    An African duck or a European duck? 😉 (Or swallow…)

    Gavin, thanks for pointing out that I didn’t really answer the question at hand…Thomas, thanks for your kind understanding on that point.

    Now that I know what the question is, then my answer is sure – light could make a sonic boom, if the light pulse is intense enough! The shock wave would be quite nearly cylindrical, emanating sideways from the beam. It would not be unlike a thunderclap in fact.

    As for the age of the oldest photons that we can see, JimV, we think that they are indeed 13.7-ish billion years old. They were quite hot when emitted, but now we are moving away from their source at very relativistic velocity, and as we catch them they are very cool – in temperature terms, a few degrees Kelvin. This is the cosmic microwave background, the variations in which are enshrined in our web page background. It’s utterly mind-boggling for all of us, I think it’s fair to say.

    But the question is a deeper one and I am not sure I can use just the right words to answer it. Because if you think about it, the universe was expanding while they were travelling through it. We can’t fall into the trap of thinking that their speed changed as a result…so, I throw this one to my cosmologist cohorts at CosVar. Sean, care to comment? IANAC either, and this one nags at me from time to time still.

    As for how the Big Bang escaped being a black hole, well, that’s way above my pay grade. For that matter, let me add one of my own: if the geometry of the universe is “open,” meaning (I think) of infinite extent, and if there is no preferred “center” to the universe, does that imply that the total amount of matter/energy in the universe is infinite? (The contrary is true, that if the universe is closed and finite, there must be a finite amount of matter/energy…right?)

  • http://blogs.discovermagazine.com/cosmicvariance/sean Sean

    Because the universe is expanding, there’s no unique definition of “distance.” In fact, in the concordance cosmology where the universe is now accelerating, very distant objects are something like 40 billion light years away, even though the light from them left about 13.7 billion years ago (in some coordinate system…). Just because the distance between there and here has been getting bigger.

  • http://brannenworks.com/dmaa.pdf Carl Brannen

    A sonic boom happens when a lot of sound waves get created by the same object, and those sound waves happen to travel at the same speed as the object. A lot of energy arrives on the ground at about the same time. The analogy at light speed is a cosmic ray shower, as the primary particles travel at light speed, as does most of the shower.

    Continuing the analogy, one of the signatures of tachyons would be cosmic ray showers that are extended in duration. In relation to that, there is some interesting effects in the AGASA cosmic ray data. They keep getting energies that are too large, but their equipment can be spoofed by late (or early) arriving particles. For the experimental details, see the article by Farrar: astro-ph/0506166.

  • http://backreaction.blogspot.com/ B

    Hi Sean,

    Probably once we understand quantum gravity, we’ll realize that there never was a singularity, but that’s another topic.

    question: I see that QG is a good shot to solve the problem, but I don’t see that a priori both – quantizing gravity and singularity avoidance – have to be related to each other. I.e. consider there’s no such thing as a quantized gravity, but the apparent disagreements between QFT and gravity are resolved in some other way. Couldn’t it as well be that there’s a classical modification of GR that solves the singularity problem (should probably circumvent energy conditions).

    Best,

    B.

  • http://blogs.discovermagazine.com/cosmicvariance/mark/ Mark

    I’ll take the second part of John’s question. “Open” refers to the local geometry of spatial slices, and tells us that they have negative curvature. In GR, this is the same thing as saying that there is less than the critical density.

    However, this tells us nothing about the topology of the universe – i.e. it’s connectedness, and whether it is finite. There actually exist so-called compact hyperbolic manifolds, which are homogeneous and everywhere “open” but in fact are of finite volume. One can construct these in analogous ways to making a torus from an infinite flat plane (and this means also that if the universe is flat, we also don’t know if it is finite or infinite).

    One can, of course, perform measurements to see if the universe is finite on a given scale (because if so there would be correlations in light coming from beyond that distance on very different partts of the sky. The furthest away light we have is the CMB and current tests have not revealoed the tell-tale signs of cosmic topology in it. So our best knowledge of the universe is that, even if it were open, it could be finite or infinite, but if finite, then only on so-far unobserved scales.

    [On a related point, cosmologists always used to connect the local geometry of spatial slices (open, closed or flat) to the universe’s ultimate destiny (forever expand or recollapse). Here the two concepts are only related under certain assumptions about the matter content of the universe. If cosmic acceleration is due to a cosmological constant, one could live in a closed universe which expands forever.]

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  • JimV

    Thanks for the clarifications – I guess.

    I am still not following how we see light from objects 13.7 billion light years away. I thought we are seeing light which started much closer to us and has caught up as both we and it moved farther and farther from our starting point at the Big Bang. Otherwise, it would not be in our “light cone”. Maybe I’m thinking in the wrong coordinate system.

  • blademonkey

    matter doesn’t.

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  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    B– Sure, that’s possible. I doubt it, just based on the limited success so far. And even if classical modifications of GR resolved singularities, the requisite modifications would likely kick in near the Planck scale, where quantum gravity is going to be important anyway.

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  • http://leisureguy.wordpress.com LeisureGuy

    Many thanks for the quick thoughts on why the universe didn’t end up as a black hole at the very beginning. I appreciate it, and will continue my reading on such topics. (Right now I’m reading Lee Smolin’s recent book on string theory and its drawbacks… )

  • JimB

    ?blackhole..
    Novice alert..
    In theory if our universe was “falling into” a black hole, would it not hold to relativity that the event horizon would never actually be reached due to acceleration and relative observation?
    Would it not hold true that as our universe is being accelerated into the “black hole” at a certain point due to acceleration and relative speed, from our vantage point it would actually appear as if the universe was expanding as we would be whitnessing it from a relative point of view, and light from our vantage (being sucked in) is traveling faster than light further form the event, and so we would whitness events in reverse cronology?
    Giving rise to the question: If we were being sucked in and we were within the gravitational boundary of the event, how would we know we were being drawn in if the relative view makes it appear that we are being expanded away from the event?

  • Keith

    You made a typo at one point

    “As for the protons circulating in the beam pipe at Fermilab, well, that’s a vacuum (and a pretty good one) so they don’t exceed the speed of light in that medium.”

    Should be sound not light…nothing exceeds the speed of light.

  • Tim

    ……O_o…..*reads the very intellectual comments left by people who know somethin and print out to show and tell for current event*……….ducks quack dont echo?…………

  • http://www.pieterkok.com/index.html PK

    John Baez, Lene Hau’s group in Harvard did something like that in BECs. I vividly remember her talk in which she showed pictures of density fluctuations in the BEC. Most recently they shot a pulse through a BEC, the kick of which released a small packet that was subsequently caught by a second BEC. It was covered in Nature last week.

  • Mike

    Keith: It’s not a typo. The speed of light in some media (glass for example) is actually slower than the speed of light in a vacuum. What’s actually going on is that the light is absorbed, re-emitted, and scattered by the atoms in the material — any given photon still travels at the speed of light between bumps. The speed of light in a medium is closely related to the medium’s index of refraction, which you may have heard about in relation to lenses and light-bending.

    At any rate, it is possible for something to travel faster than the speed of light in a medium, as long as it’s slower than the speed of light in a vacuum. When it does so, you get Cerenkov radiation.

  • Aaron

    You made a typo at one point

    “As for the protons circulating in the beam pipe at Fermilab, well, that’s a vacuum (and a pretty good one) so they don’t exceed the speed of light in that medium.”

    Should be sound not light…nothing exceeds the speed of light.

    Keith — that’s not a typo. Special relativity doesn’t say that nothing can go faster than light… it says that nothing can go faster than 300,000 kilometers per second. In a vacuum, with nothing in its way, light travels at this maximum possible speed, and nothing can outrun it. Matter, however, generates electric and magnetic interference that slows light down. In water, for example, light travels at only 225,000 km/s — faster than your moped, but well below the cosmic speed limit. Physicists at the Rowland Institute for Science have developed materials that slow light down to just 17 meters per second — still faster than a moped, but quite a bit slower than a car!

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  • http://www2 Dar.

    Why doesn’t light make a sonic boom when it travels?

    Very Simple.
    It did when it passed the speed of sound 14. billion The years prior (big bang). Backgroud Radiation…

    You guys should think less and observe more.
    Dar

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  • Ether4Life

    YOU’RE ALL WRONG, IT’S BECAUSE OF THE ETHER.

  • Roger

    I just want some chicken nuggets.

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  • David

    Sean,

    This “why isn’t the universe like a black hole” question came up in a general relativity course I took some years ago. I was rather struck by the answer
    given by the instructor which was that while the universe appears to be isotropic,
    space would not be isotropic inside the event horizon of a black hole.
    The singularity removes the appearance of isotropy. I take it this explanation is equivalent to what you wrote ?

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    David, I think your instructor was on the wrong track. A typical black-hole collapse won’t be perfectly isotropic, but it can be very close, and that’s not really the point. The spacetime geometry very close to the Big Bang is quite similar to what you get when a star collapses to a black hole — except that one is the time-reverse of the other. That’s really the point.

  • Random Walk

    The waves generated by a boat in water are not sonic waves, the speed of sound in water varies with the temperature and (probably) the salt content and is about 1,500 m/s at 20 deg C. Those waves ON the water are different, they are not compressive waves, and the velocities vary with the wave length.

    Nice discussion.

  • David

    Thanks Sean,

    What you said makes alot more sense.

  • Joe

    When lightning strikes it makes some what of a sonic boom which is the clap of thunder we hear eminate after the strike. Just as Gavin said, “airplanes and other objects push air out of the way when they travel through it.” Lightning does the same thing, except it has to find a path all the way from the cloud to the ground that moves inbetween the air molecules and when full connection is made it pushes the air molecules out of the way so fast that it creates thunder, or mini sonic boom. Some of this maybe incorrect or could be explained in a more efficient mannor, but that is the gist of it.

  • http://backreaction.blogspot.com/ B

    @ Sean #24

    I doubt it, just based on the limited success so far. And even if classical modifications of GR resolved singularities, the requisite modifications would likely kick in near the Planck scale, where quantum gravity is going to be important anyway.

    Sorry, I almost forgot I left that comment here. Thanks for the answer. What do you mean with ‘quantum gravity’ in the above context? I see it this way: gravity works perfectly fine also at the Planck scale. The only thing that goes wrong in GR are the singularities. What we don’t know is what to do with quantum field theory when curvature gets close to the Planckian regime, and we don’t know how to couple QFT to GR (okay, and even if we knew, backreaction effects would make the equations enormously ugly, but lets put that aside for a moment). If I look at it this way, it seems to me it’s rather background indep. quantization that we don’t know how to deal with instead of gravity. So, what good reason do we have to believe that the metric has to be subject to quantization as well?

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    If I understand what you’re saying — I don’t think you can quantize some degrees of freedom without quantizing all of them. Say I have a big lump of mass, whose wavefunction is half concentrated here, and half concentrated a mile away. What is its gravitational field? It seems that the most likely answer is that it’s in a superposition of pointing here and pointing a mile away, which implies that the metric must be quantized.

  • anon.

    Bee, to play the devil’s advocate for a moment, even though I agree with Sean that gravity must be quantized: suppose it were possible to couple a classical theory of gravity to QFT. How do you know which classical theory of gravity? There are infinitely many background-independent classical theories of gravity, the Einstein-Hilbert action is just the one that keeps the dominant term at low energies. So it appears you still have a problem at the Planck scale.

    (The quantum version of this question is the problem of nonrenormalizability of gravitational theories, which as far I can tell from zillions of blog threads on the topic, LQG ignores completely.)

  • http://backreaction.blogspot.com/ B

    Hi Anon,

    yes, that is true. I don’t know – neither do I think anybody knows.

    Hi Sean

    Say I have a big lump of mass, whose wavefunction is half concentrated here, and half concentrated a mile away. What is its gravitational field?

    The question that you are asking is how a quantum field is coupled to the field equations – if the metric isn’t an operator this must involve some kind of expectation value. Again, obviously, I can’t answer this question. I just don’t see why the answer necessarily has to imply a quantization of the metric. This depends crucially on whether we understand quantization correctly. E.g. to address your question: has anybody ever measured the gravitational field of an entangled state? Do we really ‘know’ the wave-function and not its abs value must play a role there? But even if, I’m not saying the gravitational part would be unmodified, just unquantized. I just think that we shouldn’t ignore the fact that our quantization procedure crucially builds up on flat space, plain waves, asymptotically free states (cluster decomposition) etcetc, and it seems to me that gravity might play a role in the very foundations of quantization (I believe this is hardly a new idea, but I can’t give you any references, sorry, it’s just a topic that’s currently circling in my head). cu,

    B.

  • nc

    … suppose it were possible to couple a classical theory of gravity to QFT. How do you know which classical theory of gravity? There are infinitely many background-independent classical theories of gravity, the Einstein-Hilbert action is just the one that keeps the dominant term at low energies. So it appears you still have a problem at the Planck scale.

    (The quantum version of this question is the problem of nonrenormalizability of gravitational theories, which as far I can tell from zillions of blog threads on the topic, LQG ignores completely.) – anon.

    To answer the first point. You choose the classical theory of gravity which, when coupled to QFT, is based on verified facts and makes accurate predictions.

    Regards the second point. Renormalization in gravitation will be a change in the effective value of gravitational charge, i.e., mass. Mass is supposed to be given by the Higgs mechanism, which must be gravitational charge because Einstein’s equivalence principle says gravitational mass is the same as inertial mass.

    Renormalization of electric charge in QED is explained by the polarization of the vacuum around the bare core charge, which cancels part of the latter as observed from a distance. You can’t apparently polarize the vacuum to shield gravitational force as you can for electric force.

    Polarization in an electric field works because virtual positive charges get attracted closer to the bare core negative charge of a particle than virtual positive charges, so the virtual charges give a net radial electric field which opposes and cancels part of the core charge.

    Clearly this can’t occur in a gravitational field because all mass moves the same way; there are no opposite poles for mass and gravity, so no polarization or shielding occurs, at least directly. This makes it hard to see how any quantum theory of gravity can physically include renormalization of gravitational charge (mass).

    However, the equivalence principle between gravitational and inertial mass in the context of quantum gravity has been attacked by Rabinowitz in http://arxiv.org/abs/physics/0601218 where it is argued:

    “… a theory of quantum gravity may not be possible unless it is not based upon the equivalence principle, or if quantum mechanics can change its mass dependence. …”

    In QED, both electric charge and electron mass are renormalized parameters and are scaled by similar factors. This seems to suggest that maybe the source of the electron’s mass is the mass-giving (‘Higgs’) vacuum field outside the polarization region, if mass is associated with the electron by a coupling depending on the electric field of the electron. Thus, the polarization-shielded electric charge (not the core or bare electron charge) would be responsible for coupling external mass-giving Higgs bosons to the electron. So renormalization of the electric field automatically causes renormalization of the gravitationam charge (mass), because the shielded electron charge is responsible for the vacuum field effects which give mass to an electron.

    In the Standard Model, all masses are given to particles by field which is separate to electric charge. The only way such a mass-viving field can couple to an electron core without mass is obviously by some kind of coupling to the electron’s electric field. So renormalization effects in quantum gravity are likely to be indirect, i.e., the effect of electric field renormalization (which does have a very simple, empirically confirmed physical mechanism; vacuum charge radial polarization).

  • nc

    Sorry there’s a type, last comment final para, should be “… mass-giving field…”

  • tednugentrocks

    Joe said
    “When lightning strikes it makes some what of a sonic boom which is the clap of thunder we hear eminate after the strike. Just as Gavin said, “airplanes and other objects push air out of the way when they travel through it.” Lightning does the same thing, except it has to find a path all the way from the cloud to the ground that moves inbetween the air molecules and when full connection is made it pushes the air molecules out of the way so fast that it creates thunder, or mini sonic boom. Some of this maybe incorrect or could be explained in a more efficient mannor, but that is the gist of it.”

    That’s entirely different. Thunder is caused when all that electrical force is channeled through air (which is actually a pretty good insulator), super heating it. What you hear, in effect, is the air expanding at a supersonic speed.

  • tednugentrocks

    BTW I just stumbled onto this site– now its in my favs. The wonders of the interweb.

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