14 ms·

Why is light so fast?

66 points by aaronbrethorst 11y ago

msravi 11y ago
Reading these articles about light and quantum theory is always a frustrating experience for me. They are all invariably hand-wavy and never seem to explain things from first-principles. Does anyone have a good reference for a book that does justice to the subject? On a related note, Simon Singh's book on the Big Bang Theory (http://www.amazon.com/Big-Bang-Universe-Simon-Singh/dp/0007162219 http://www.amazon.com/Big-Bang-Universe-Simon-Singh/dp/00071...) was the first book I read that explored the Big Bang in great detail without being hand wavy. I wish he'd write a book dealing with quantum theory!
- zem 11y ago
  feynman's "QED": http://www.amazon.com/QED-Strange-Princeton-Science-Library/dp/0691125759 http://www.amazon.com/QED-Strange-Princeton-Science-Library/...
- logicallee 11y ago
  >They are all invariably hand-wavy and never seem to explain things from first-principles. For first principles, you'll need to talk to the designer - scientists only have runtime profilers and guesswork. Even the guesswork isn't complete - there's no unified theory (https://en.wikipedia.org/wiki/Theory_of_everything https://en.wikipedia.org/wiki/Theory_of_everything) so it is kind of weird to ask everything to trickle down from first principles, IMO.
  - sowbug 11y ago
    It's not weird; it's more that it depends on the answers to unanswered questions that have been perplexing many people for a long time. Maybe "premature" is a better description?
- Jun8 11y ago
  I suggest you read answers in Physics SE, some of them are very well written with the general audience in mind. * For the question of why the speed of light has the value it does see the excellent answers in http://physics.stackexchange.com/questions/56973/why-does-the-speed-of-light-c-have-the-value-it-does http://physics.stackexchange.com/questions/56973/why-does-th... and http://physics.stackexchange.com/questions/3644/the-origin-of-the-value-of-speed-of-light?lq=1 http://physics.stackexchange.com/questions/3644/the-origin-o.... Turns out, it the actual values is irrelevant, in fact c is set to one in regular work. * On the question of why c is so special, see http://physics.stackexchange.com/questions/80365/what-is-so-special-about-speed-of-light-in-vacuum http://physics.stackexchange.com/questions/80365/what-is-so-... * Many people don't recognize that in modern physics c is not a measured constant, its value is set: http://physics.stackexchange.com/questions/92969/why-does-the-speed-of-light-in-vacuum-have-no-uncertainty/92971#92971 http://physics.stackexchange.com/questions/92969/why-does-th...
- leephillips 11y ago
  Have you read Weinberg's The First Three Minutes?
- rrss1122 11y ago
  I think this article does a decent job of trying to describe the first principles we hope we can use to find why the speed of light in vacuum is what it is, but the reality is we still don't know. Plus, the article format doesn't allow for detailed explanation that a book would.
rndn 11y ago
Relative to matter? Photons are massless, so light doesn't get slowed down by interacting with remote particles as it travels. Relative to humans? Humans are made of matter, and in addition to that, they are immensely complex bio-chemical mechanisms and depend a lot on slow stochastic processes such as diffusion, so a lot of other processes will appear fast to them.
- qwertyboy 11y ago
  From reading the article (and not enjoying it very much - see msravi's comment about its handwavyness), the question it's failing to answer isn't "why is light faster than X" but rather "why is the speed of light as it is".
  - stan_rogers 11y ago
    In a lot of ways, that question is just about as meaningful as "why are there electrons?" Looked at from the right angle, you can say that there is only one speed at which everything always moves through space-time; the only difference, really, among speeds is how much of that speed extends timewards from the moving thing's perspective. (What space-time itself gets up to, and what it is apart from something we experience, is a different set of questions altogether.) The idea that we ought to be able to understand everything in principle is a horse long out of the barn.
    - JoeAltmaier 11y ago
      Its definitely an interesting question. Something that limits all, moves uniformly no matter the point of view, doesn't interact with itself but does with everything else - its a singular feature of physics. If I understand you right, one can wonder things like, maybe 'light' is really 'time' in some sense, not moving uniformly but instead the actual clock that drives the universe. Stuff like that is, at the least, interesting fodder for bull sessions.
  - gaze 11y ago
    The question you might ask is why doesn't EVERYTHING travel at the speed of light. The speed of light is one in some units. We just happened to develop the meter and the second before we could measure the speed of light. These units are totally arbitrary.
astrobe_ 11y ago
> "Observations of astronomical bodies under gravity do not show this decrease, and so far there is no sign that G varies in space" Correct me if I'm wrong, but observations do show there's a significant problem with the equations, which led to the invention of "dark matter" and "dark energy". Aside from that, is there any connection between the universal constants of physics and mathematical constants? It would be nice to be able to say, "The Universe is the way it is because circles."
- dogma1138 11y ago
  Dark matter and energy are there to solve an issue with the cosmological constant which is a "value" that was introduced by Einstein to make his general theory of relativity work with the back was accepted as a static universe, basically it's the energy density of the vacuum in space. This constant was then "abandoned" after Hubble discovered that the universe is expanding, it was still there but it's value was (assumed to be) zero. When the scientific consensus reached a point where it was agreed on that the universe is accelerating the cosmological constant came back into play because with it you can explain the accelerated expansion, the problem is that we can't account for the additional energy needed to account for the acceleration so dark energy was introduced as a concept. Dark Matter was introduced to solve another issue, one that can be seen on much smaller (or own galaxy) scales, basically if we look at the motion of stars and the rotation of galaxies we seem to be lacking mass, and quite a bit of it (although not nearly as much as dark energy) so again a place holder device was introduced in the form of dark matter Now normally you would say well when you need to introduce additional doodads to account for something in your theory not in 1 instance but in 2 and maybe in many others your theory sucks. The problem is that we've sorta proven that gravity works for the most part as we think it does, and if we go into weird stuff like localized gravitational constants well they don't account for the observations that required dark matter or energy, oh and they kinda break the universe. The force of gravity and hence the gravitational constant has been proven to be "correct" in from the smallest (even atom level) observations and calculations to the macro and universal scales, and while it's true that we might be wrong, if we are we are wrong by not a mile but probably several parsecs this means that relativity and other current accepted gravitational theories are more wrong than the "Ether Theory".
vorg 11y ago
> Are some [constants] more fundamental than others? [...] one useful choice has been just three: h, c and G, collectively representing relativity and quantum theory. In 1899, Max Planck, who founded quantum physics, examined the relations among h, c and G and the three basic aspects or dimensions of physical reality: space, time, and mass. I thought there were 5 "Planck units" (h, c, G, the electron charge, and Boltzmann's constant) matching 5 dimensions of physical reality (space, time, mass, also charge and temperature). But I don't understand two things: * Why is Boltzmann's constant there, temperature being a statistical property more akin to the fine structure constant than the other 4 Planck units? * Why do physicists nowadays prefer to use the electron charge instead of Coulomb's constant as Planck did? Coulomb's constant and the gravitational constant G slot into similar looking formulas for electromagnetism and gravity respectively, and pairing them seems more "fundamental" than using the electron charge.
- pakettiale 11y ago
  My experience regarding your second question: When doing calculations the electric charge of a thingy is usually placed into some varible and when using electron charge versions of constants you can usually cancel them out. So less writing, typing and calculating; scientists are lazy.
- xahSooJu 11y ago
  > [...] matching 5 dimensions of physical reality (space, time, mass, also charge and temperature). I'm not quite sure I understand that, but I'll try to answer your questions anyway: Yes, Boltzmann's constant is more or less just a conversion factor between temperature and energy. If we measured temperature in joules, we wouldn't need Boltzmann's constant. But then the same is true for c; we could measure time in meters or distance in seconds. If you have defined the basic units of mechanics (time, distance, and mass), the value of G is fixed. But not the value (and even the dimension!) of Coulomb's constant and of electric charges. You can use a system of units where Coulomb's constant is 1 and electric charge then has dimension mass^(1/2)length^(3/2)time^(-1), while in SI units it has dimension current*time. Basically, you can make Coulomb's constant have any value and any dimension you want. Using just Coulomb's constant or just an electric charge in such a formula wouldn't make much sense. On the other hand, something like the fine structure constant (which is practically the square of the elementary charge measured in natural units) is a quantity that makes sense inpendently of your system of units. I guess the reason for that is that mass has meaning outside of gravity (in Newton's second law), but electric charge is confined to electromagnetism. There's also the thing with electric charge being quantized to integer multiples of the elementary charge e (apart from quarks for which it is an integer multiple of e/3, but they usually don't appear isolated), but mass not being quantized. I think the similarities between electromagnetism and gravity are at least partly superficial. Coulomb's law looks a lot like Newton's law, but that's because both the electrostatic and the classical gravitational potential obey a poisson equation (in the statical limit and to the lowest order). And that's about the simplest equation such a potential can obey. I don't think there's much more to it than that (perhaps apart from both being long-ranged because their symmetries are not broken).
mentos 11y ago
What is contained in a cubic meter of the vacuum of space?
- elektromekatron 11y ago
  Everything going through it plus some noise.
  - mentos 11y ago
    Do things 'go through' the vacuum of space or is it like newton's cradle where the fundamental building blocks just bump shoulders yet do not move? So for example when light travels from a million light years away, is it one fundamental particle traveling through space. Or are there trillions of interactions passing energy along?
    - pavel_lishin 11y ago
      > Do things 'go through' the vacuum of space or is it like newton's cradle where the fundamental building blocks just bump shoulders yet do not move? You mean, is motion an illusion, much like a glider in Game of Life seeming to move?
      - mentos 11y ago
        Yea, are we just living in an enormous three dimensional grid or are there true vacuums in space?
        elektromekatron 11y ago
        One thing to consider, is that given rate of change approaches zero as velocity approaches c, what does motion mean when there is no time for it to happen in, either as things moving or bumping?
amelius 11y ago
So if the vacuum contains quantum fluctuations in which particles are being produced, I wonder what the mathematics looks like. How is the creation of a singular point-like element (or a pair of them) modeled mathematically? Roughly sketched of course :)
- IsTom 11y ago
  It's not really particles. http://profmattstrassler.com/articles-and-posts/particle-physics-basics/virtual-particles-what-are-they/ http://profmattstrassler.com/articles-and-posts/particle-phy...
  - gaze 11y ago
    But it is. I can have devices that use single electrons. I can measure shot noise. Theories in terms of particles work. Turns out that theories in terms of off-mass-shell particles describing higher and higher terms of perturbation theory work well too.
- gaze 11y ago
  Search for creation and anihilation operators in second quantization. It's quite simple. I give you a field with some particles populating some modes, and applying the creation (annihilation) operator gives you a field with one more (less) particle in a mode. That's how the game starts. If you're a particle physicist you typically develop this further into a system in terms of an action so you can use a path integral formulation, and then the action is written in terms of a Lagrangian Density, where you write the fields and their couplings. You typically then talk in the language of propagators (look for electron and photon propagators) and Feynman diagrams (which may be obtained from the Hamiltonian or Lagrangian) Condensed matter people and quantum opticians typically stick with the Hamiltonian (creation/annihilation) picture. Theories like superconductivity (BCS theory) are phrased like this. The standard model though is typically written in terms of the Lagrangian, though.
kazinator 11y ago
> But some constants involve no dimensions at all. These are so-called dimensionless constants – pure numbers, such as the ratio of the proton mass to the electron mass. That is simply the number 1836.2 (which is thought to be a little peculiar because we do not know why it is so large). According to the physicist Michael Duff of Imperial College London, only the dimensionless constants are really ‘fundamental’, because they are independent of any system of measurement. Dimensional constants, on the other hand, ‘are merely human constructs whose number and values differ from one choice of units to the next’. Say what? Unitless constants are exactly the same stuff as dimensional constructs; it's just that the units canceled out. You measure a proton's mass in some arbitrary units, the electron in the same units and when you divide the two, the units go away. This does not create a philosophically distinct category of constant.
- xahSooJu 11y ago
  It's about the numerical value of these constants. The 1.673E-27 of the proton and the 9.109E-31 of the electron are completely arbitrary, but their ratio 1836 isn't. Besides, you can't really measure dimensional values. An experiment to measure the mass of the proton really is a complex way to measure the ratio of the mass of the proton to the mass of the international prototype kilogram; and that's a dimensionless value.
- dennyabraham 11y ago
  You are correct, the distinction here is between unitless constants and constants expressible only in terms of arbitrary units. ex: The fine structure constant 7.29735257×10^−3 is independent of any measurement system and takes the same value when computed in any of them. The speed of light, however, cannot be expressed without prior definition of units of time and distance. 299792458 m/s is equivalent to 1.8026175×10^12 furlongs per fortnight.
- akiselev 11y ago
  I thought "units canceled out" was the entire point. The units we use say everything about our assumptions such as the definition of distance and time (concepts, for example, closely tied to our understanding of light) and dimensionless constants allow us to safetly hide some of those assumptions. Philosophically this is significant because these constants provide us our most basic hypothetical methods of communication with other technologically advanced species in the future, provided they share a relatively similar linear number system (which can be based on ratio of protons between different elements).
shepardrtc 11y ago
I'm not a physicist, but from my understanding, light doesn't move at any speed from its own point of view. Its actually instant. From creation to absorption (or dissolution?), there's no delay from its point of view. Fast or slow has no meaning for light. We view things as having speed because mass slows things down from being instant. Am I correct?
- gioi 11y ago
  I'm not a physicist either. As a student, some years ago I asked my physics teacher if this conception was right, but I only got pretty elusive answers. It turns out that general relativity and quantum mechanics are not 100% coherent on this point. I suggest you to read this short, a-bit-technical-but-not-too-much essay on the problem: http://quasars.org/photon.txt http://quasars.org/photon.txt
- redacted 11y ago
  (Disclaimer: I am a physicist, but this is not my area of expertise at all. Happy to be corrected here). Relativity is, like quantum mechanics, a fairly simple concept with incredibly complex implications and edge cases. The easiest intuitive explanation of relative time I have found is the following: - Assume our space time/universe is a 4D vector space. Three spatial dimensions, one time. - Everything has a 4D vector which describes movement through this 4D space-time {x, y, z, t} - The length/magnitude of this vector is fixed at the speed of light, c - Normalize the dimensions of our 4D space as following: if we are not moving at all (x = y = z = 0) the vector points entirely in time our vector is {0, 0, 0, c} and, in our frame of reference, time moves as normal - "one second per second". - Now, as we go faster and faster this vector no longer points purely in time. In the extreme case where the vector sum of the x, y, z (3D spatial component) is c, the time component t will be zero. This is why our photon does not experience time passing - it moves through space at c, so cannot move through time at all. For the 3D velocities we normally experience we do not move in space fast enough to affect motion through time appreciably. Even the GPS corrections for relativity mostly arise due to Earth's gravity well distorting local space-time geometry, although their high velocity does contribute. Objects with mass cannot be accelerated to c under our current understanding of relativity because kinetic energy diverges (approximately 1/sqrt(1-v^2/c^2)) - reaching speed of light would require infinite energy.
jameshart 11y ago
Because it's really light? (sorry). Seriously, though, what does it mean to ask "Why is light so fast?" - are you looking for some purpose in light traveling fast? You won't find one. It just DOES. In fact, given that the much simpler alternative to there being a speed limit, c, on the universe would be that there is NO speed limit, then the question really becomes, why is light so SLOW?
- rrss1122 11y ago
  The article does ask this: "Why not faster? Why not slower?" Certainly a lot of physicists are content with leaving it at "because it is." They're not searching for purpose, they're searching for explanation. The article doesn't just ask the question either, it explores a possible avenue for seeking the answer. Experiments over the past few years seem to indicate that the speed of light can be derived by measuring electric and magnetic properties of the vacuum. This leads to the question: is it possible that the speed of light is the value it is because the vacuum restricts it to this value? This would mean the speed of light is not a fundamental constant, but an observable parameter of the vacuum. The article is light on links, but here is a paper that I think the article was referring to, by Marcel Urban and colleagues at the University of Paris-Sud: http://arxiv.org/abs/1302.6165 http://arxiv.org/abs/1302.6165 From the paper: "When a real photon propagates in vacuum, it interacts with and is temporarily captured by an ephemeral pair. As soon as the pair disappears, it releases the photon to its initial energy and momentum state. The photon continues to propagate with an infinite bare velocity. Then the photon interacts again with another ephemeral pair and so on. The delay on the photon propagation produced by these successive interactions implies a renormalisation of this bare velocity to a finite value. This “leapfrog” propagation of photons, with instantaneous leaps between pairs, seems natural since the only length and time scales in vacuum come from fermion pair lifetimes and Compton lengths." The paper claims that the speed of light might fluctuate as a consequence, and proposes possible experiments to test this. "The propagation of a photon being a statistical process, we predict fluctuations of its time of flight of the order of 0.05fs/√m. This could be within the grasp of modern experimental techniques and we plan to assemble such an experiment." This could answer the question, why is light so slow?
  - 11y ago
ctdonath 11y ago
In the time it takes for light from this (your) screen to reach your eyes, this (your) CPU just carried out a dozen instructions. Why is light so slow?
- sunstone 11y ago
  Sure, but from the frame of reference of the light it takes no time at all.
callesgg 11y ago
I like to think of light as a something we made up in our minds. A light bulb that is illuminating a wall is actually more like the light bulb touching the wall, rater than it sending out light that is hitting the wall.

Reading these articles about light and quantum theory is always a frustrating experience for me. They are all invariably hand-wavy and never seem to explain things from first-principles. Does anyone have a good reference for a book that does justice to the subject? On a related note, Simon Singh's book on the Big Bang Theory (http://www.amazon.com/Big-Bang-Universe-Simon-Singh/dp/0007162219 http://www.amazon.com/Big-Bang-Universe-Simon-Singh/dp/00071...) was the first book I read that explored the Big Bang in great detail without being hand wavy. I wish he'd write a book dealing with quantum theory!

zem 11y ago
feynman's "QED": http://www.amazon.com/QED-Strange-Princeton-Science-Library/dp/0691125759 http://www.amazon.com/QED-Strange-Princeton-Science-Library/...
logicallee 11y ago
>They are all invariably hand-wavy and never seem to explain things from first-principles. For first principles, you'll need to talk to the designer - scientists only have runtime profilers and guesswork. Even the guesswork isn't complete - there's no unified theory (https://en.wikipedia.org/wiki/Theory_of_everything https://en.wikipedia.org/wiki/Theory_of_everything) so it is kind of weird to ask everything to trickle down from first principles, IMO.
- sowbug 11y ago
  It's not weird; it's more that it depends on the answers to unanswered questions that have been perplexing many people for a long time. Maybe "premature" is a better description?
Jun8 11y ago
I suggest you read answers in Physics SE, some of them are very well written with the general audience in mind. * For the question of why the speed of light has the value it does see the excellent answers in http://physics.stackexchange.com/questions/56973/why-does-the-speed-of-light-c-have-the-value-it-does http://physics.stackexchange.com/questions/56973/why-does-th... and http://physics.stackexchange.com/questions/3644/the-origin-of-the-value-of-speed-of-light?lq=1 http://physics.stackexchange.com/questions/3644/the-origin-o.... Turns out, it the actual values is irrelevant, in fact c is set to one in regular work. * On the question of why c is so special, see http://physics.stackexchange.com/questions/80365/what-is-so-special-about-speed-of-light-in-vacuum http://physics.stackexchange.com/questions/80365/what-is-so-... * Many people don't recognize that in modern physics c is not a measured constant, its value is set: http://physics.stackexchange.com/questions/92969/why-does-the-speed-of-light-in-vacuum-have-no-uncertainty/92971#92971 http://physics.stackexchange.com/questions/92969/why-does-th...
leephillips 11y ago
Have you read Weinberg's The First Three Minutes?
rrss1122 11y ago
I think this article does a decent job of trying to describe the first principles we hope we can use to find why the speed of light in vacuum is what it is, but the reality is we still don't know. Plus, the article format doesn't allow for detailed explanation that a book would.

rndn 11y ago

Relative to matter? Photons are massless, so light doesn't get slowed down by interacting with remote particles as it travels. Relative to humans? Humans are made of matter, and in addition to that, they are immensely complex bio-chemical mechanisms and depend a lot on slow stochastic processes such as diffusion, so a lot of other processes will appear fast to them.

qwertyboy 11y ago
From reading the article (and not enjoying it very much - see msravi's comment about its handwavyness), the question it's failing to answer isn't "why is light faster than X" but rather "why is the speed of light as it is".
- stan_rogers 11y ago
  In a lot of ways, that question is just about as meaningful as "why are there electrons?" Looked at from the right angle, you can say that there is only one speed at which everything always moves through space-time; the only difference, really, among speeds is how much of that speed extends timewards from the moving thing's perspective. (What space-time itself gets up to, and what it is apart from something we experience, is a different set of questions altogether.) The idea that we ought to be able to understand everything in principle is a horse long out of the barn.
  - JoeAltmaier 11y ago
    Its definitely an interesting question. Something that limits all, moves uniformly no matter the point of view, doesn't interact with itself but does with everything else - its a singular feature of physics. If I understand you right, one can wonder things like, maybe 'light' is really 'time' in some sense, not moving uniformly but instead the actual clock that drives the universe. Stuff like that is, at the least, interesting fodder for bull sessions.
- gaze 11y ago
  The question you might ask is why doesn't EVERYTHING travel at the speed of light. The speed of light is one in some units. We just happened to develop the meter and the second before we could measure the speed of light. These units are totally arbitrary.

astrobe_ 11y ago

> "Observations of astronomical bodies under gravity do not show this decrease, and so far there is no sign that G varies in space" Correct me if I'm wrong, but observations do show there's a significant problem with the equations, which led to the invention of "dark matter" and "dark energy". Aside from that, is there any connection between the universal constants of physics and mathematical constants? It would be nice to be able to say, "The Universe is the way it is because circles."

dogma1138 11y ago
Dark matter and energy are there to solve an issue with the cosmological constant which is a "value" that was introduced by Einstein to make his general theory of relativity work with the back was accepted as a static universe, basically it's the energy density of the vacuum in space. This constant was then "abandoned" after Hubble discovered that the universe is expanding, it was still there but it's value was (assumed to be) zero. When the scientific consensus reached a point where it was agreed on that the universe is accelerating the cosmological constant came back into play because with it you can explain the accelerated expansion, the problem is that we can't account for the additional energy needed to account for the acceleration so dark energy was introduced as a concept. Dark Matter was introduced to solve another issue, one that can be seen on much smaller (or own galaxy) scales, basically if we look at the motion of stars and the rotation of galaxies we seem to be lacking mass, and quite a bit of it (although not nearly as much as dark energy) so again a place holder device was introduced in the form of dark matter Now normally you would say well when you need to introduce additional doodads to account for something in your theory not in 1 instance but in 2 and maybe in many others your theory sucks. The problem is that we've sorta proven that gravity works for the most part as we think it does, and if we go into weird stuff like localized gravitational constants well they don't account for the observations that required dark matter or energy, oh and they kinda break the universe. The force of gravity and hence the gravitational constant has been proven to be "correct" in from the smallest (even atom level) observations and calculations to the macro and universal scales, and while it's true that we might be wrong, if we are we are wrong by not a mile but probably several parsecs this means that relativity and other current accepted gravitational theories are more wrong than the "Ether Theory".

vorg 11y ago

> Are some [constants] more fundamental than others? [...] one useful choice has been just three: h, c and G, collectively representing relativity and quantum theory. In 1899, Max Planck, who founded quantum physics, examined the relations among h, c and G and the three basic aspects or dimensions of physical reality: space, time, and mass. I thought there were 5 "Planck units" (h, c, G, the electron charge, and Boltzmann's constant) matching 5 dimensions of physical reality (space, time, mass, also charge and temperature). But I don't understand two things: * Why is Boltzmann's constant there, temperature being a statistical property more akin to the fine structure constant than the other 4 Planck units? * Why do physicists nowadays prefer to use the electron charge instead of Coulomb's constant as Planck did? Coulomb's constant and the gravitational constant G slot into similar looking formulas for electromagnetism and gravity respectively, and pairing them seems more "fundamental" than using the electron charge.

pakettiale 11y ago
My experience regarding your second question: When doing calculations the electric charge of a thingy is usually placed into some varible and when using electron charge versions of constants you can usually cancel them out. So less writing, typing and calculating; scientists are lazy.
xahSooJu 11y ago
> [...] matching 5 dimensions of physical reality (space, time, mass, also charge and temperature). I'm not quite sure I understand that, but I'll try to answer your questions anyway: Yes, Boltzmann's constant is more or less just a conversion factor between temperature and energy. If we measured temperature in joules, we wouldn't need Boltzmann's constant. But then the same is true for c; we could measure time in meters or distance in seconds. If you have defined the basic units of mechanics (time, distance, and mass), the value of G is fixed. But not the value (and even the dimension!) of Coulomb's constant and of electric charges. You can use a system of units where Coulomb's constant is 1 and electric charge then has dimension mass^(1/2)length^(3/2)time^(-1), while in SI units it has dimension current*time. Basically, you can make Coulomb's constant have any value and any dimension you want. Using just Coulomb's constant or just an electric charge in such a formula wouldn't make much sense. On the other hand, something like the fine structure constant (which is practically the square of the elementary charge measured in natural units) is a quantity that makes sense inpendently of your system of units. I guess the reason for that is that mass has meaning outside of gravity (in Newton's second law), but electric charge is confined to electromagnetism. There's also the thing with electric charge being quantized to integer multiples of the elementary charge e (apart from quarks for which it is an integer multiple of e/3, but they usually don't appear isolated), but mass not being quantized. I think the similarities between electromagnetism and gravity are at least partly superficial. Coulomb's law looks a lot like Newton's law, but that's because both the electrostatic and the classical gravitational potential obey a poisson equation (in the statical limit and to the lowest order). And that's about the simplest equation such a potential can obey. I don't think there's much more to it than that (perhaps apart from both being long-ranged because their symmetries are not broken).

mentos 11y ago

What is contained in a cubic meter of the vacuum of space?

elektromekatron 11y ago
Everything going through it plus some noise.
- mentos 11y ago
  Do things 'go through' the vacuum of space or is it like newton's cradle where the fundamental building blocks just bump shoulders yet do not move? So for example when light travels from a million light years away, is it one fundamental particle traveling through space. Or are there trillions of interactions passing energy along?
  - pavel_lishin 11y ago
    > Do things 'go through' the vacuum of space or is it like newton's cradle where the fundamental building blocks just bump shoulders yet do not move? You mean, is motion an illusion, much like a glider in Game of Life seeming to move?
    - mentos 11y ago
      Yea, are we just living in an enormous three dimensional grid or are there true vacuums in space?
      - elektromekatron 11y ago
        One thing to consider, is that given rate of change approaches zero as velocity approaches c, what does motion mean when there is no time for it to happen in, either as things moving or bumping?

amelius 11y ago

So if the vacuum contains quantum fluctuations in which particles are being produced, I wonder what the mathematics looks like. How is the creation of a singular point-like element (or a pair of them) modeled mathematically? Roughly sketched of course :)

IsTom 11y ago
It's not really particles. http://profmattstrassler.com/articles-and-posts/particle-physics-basics/virtual-particles-what-are-they/ http://profmattstrassler.com/articles-and-posts/particle-phy...
- gaze 11y ago
  But it is. I can have devices that use single electrons. I can measure shot noise. Theories in terms of particles work. Turns out that theories in terms of off-mass-shell particles describing higher and higher terms of perturbation theory work well too.
gaze 11y ago
Search for creation and anihilation operators in second quantization. It's quite simple. I give you a field with some particles populating some modes, and applying the creation (annihilation) operator gives you a field with one more (less) particle in a mode. That's how the game starts. If you're a particle physicist you typically develop this further into a system in terms of an action so you can use a path integral formulation, and then the action is written in terms of a Lagrangian Density, where you write the fields and their couplings. You typically then talk in the language of propagators (look for electron and photon propagators) and Feynman diagrams (which may be obtained from the Hamiltonian or Lagrangian) Condensed matter people and quantum opticians typically stick with the Hamiltonian (creation/annihilation) picture. Theories like superconductivity (BCS theory) are phrased like this. The standard model though is typically written in terms of the Lagrangian, though.

kazinator 11y ago

> But some constants involve no dimensions at all. These are so-called dimensionless constants – pure numbers, such as the ratio of the proton mass to the electron mass. That is simply the number 1836.2 (which is thought to be a little peculiar because we do not know why it is so large). According to the physicist Michael Duff of Imperial College London, only the dimensionless constants are really ‘fundamental’, because they are independent of any system of measurement. Dimensional constants, on the other hand, ‘are merely human constructs whose number and values differ from one choice of units to the next’. Say what? Unitless constants are exactly the same stuff as dimensional constructs; it's just that the units canceled out. You measure a proton's mass in some arbitrary units, the electron in the same units and when you divide the two, the units go away. This does not create a philosophically distinct category of constant.

xahSooJu 11y ago
It's about the numerical value of these constants. The 1.673E-27 of the proton and the 9.109E-31 of the electron are completely arbitrary, but their ratio 1836 isn't. Besides, you can't really measure dimensional values. An experiment to measure the mass of the proton really is a complex way to measure the ratio of the mass of the proton to the mass of the international prototype kilogram; and that's a dimensionless value.
dennyabraham 11y ago
You are correct, the distinction here is between unitless constants and constants expressible only in terms of arbitrary units. ex: The fine structure constant 7.29735257×10^−3 is independent of any measurement system and takes the same value when computed in any of them. The speed of light, however, cannot be expressed without prior definition of units of time and distance. 299792458 m/s is equivalent to 1.8026175×10^12 furlongs per fortnight.
akiselev 11y ago
I thought "units canceled out" was the entire point. The units we use say everything about our assumptions such as the definition of distance and time (concepts, for example, closely tied to our understanding of light) and dimensionless constants allow us to safetly hide some of those assumptions. Philosophically this is significant because these constants provide us our most basic hypothetical methods of communication with other technologically advanced species in the future, provided they share a relatively similar linear number system (which can be based on ratio of protons between different elements).

shepardrtc 11y ago

I'm not a physicist, but from my understanding, light doesn't move at any speed from its own point of view. Its actually instant. From creation to absorption (or dissolution?), there's no delay from its point of view. Fast or slow has no meaning for light. We view things as having speed because mass slows things down from being instant. Am I correct?

gioi 11y ago
I'm not a physicist either. As a student, some years ago I asked my physics teacher if this conception was right, but I only got pretty elusive answers. It turns out that general relativity and quantum mechanics are not 100% coherent on this point. I suggest you to read this short, a-bit-technical-but-not-too-much essay on the problem: http://quasars.org/photon.txt http://quasars.org/photon.txt
redacted 11y ago
(Disclaimer: I am a physicist, but this is not my area of expertise at all. Happy to be corrected here). Relativity is, like quantum mechanics, a fairly simple concept with incredibly complex implications and edge cases. The easiest intuitive explanation of relative time I have found is the following: - Assume our space time/universe is a 4D vector space. Three spatial dimensions, one time. - Everything has a 4D vector which describes movement through this 4D space-time {x, y, z, t} - The length/magnitude of this vector is fixed at the speed of light, c - Normalize the dimensions of our 4D space as following: if we are not moving at all (x = y = z = 0) the vector points entirely in time our vector is {0, 0, 0, c} and, in our frame of reference, time moves as normal - "one second per second". - Now, as we go faster and faster this vector no longer points purely in time. In the extreme case where the vector sum of the x, y, z (3D spatial component) is c, the time component t will be zero. This is why our photon does not experience time passing - it moves through space at c, so cannot move through time at all. For the 3D velocities we normally experience we do not move in space fast enough to affect motion through time appreciably. Even the GPS corrections for relativity mostly arise due to Earth's gravity well distorting local space-time geometry, although their high velocity does contribute. Objects with mass cannot be accelerated to c under our current understanding of relativity because kinetic energy diverges (approximately 1/sqrt(1-v^2/c^2)) - reaching speed of light would require infinite energy.

jameshart 11y ago

Because it's really light? (sorry). Seriously, though, what does it mean to ask "Why is light so fast?" - are you looking for some purpose in light traveling fast? You won't find one. It just DOES. In fact, given that the much simpler alternative to there being a speed limit, c, on the universe would be that there is NO speed limit, then the question really becomes, why is light so SLOW?

rrss1122 11y ago
The article does ask this: "Why not faster? Why not slower?" Certainly a lot of physicists are content with leaving it at "because it is." They're not searching for purpose, they're searching for explanation. The article doesn't just ask the question either, it explores a possible avenue for seeking the answer. Experiments over the past few years seem to indicate that the speed of light can be derived by measuring electric and magnetic properties of the vacuum. This leads to the question: is it possible that the speed of light is the value it is because the vacuum restricts it to this value? This would mean the speed of light is not a fundamental constant, but an observable parameter of the vacuum. The article is light on links, but here is a paper that I think the article was referring to, by Marcel Urban and colleagues at the University of Paris-Sud: http://arxiv.org/abs/1302.6165 http://arxiv.org/abs/1302.6165 From the paper: "When a real photon propagates in vacuum, it interacts with and is temporarily captured by an ephemeral pair. As soon as the pair disappears, it releases the photon to its initial energy and momentum state. The photon continues to propagate with an infinite bare velocity. Then the photon interacts again with another ephemeral pair and so on. The delay on the photon propagation produced by these successive interactions implies a renormalisation of this bare velocity to a finite value. This “leapfrog” propagation of photons, with instantaneous leaps between pairs, seems natural since the only length and time scales in vacuum come from fermion pair lifetimes and Compton lengths." The paper claims that the speed of light might fluctuate as a consequence, and proposes possible experiments to test this. "The propagation of a photon being a statistical process, we predict fluctuations of its time of flight of the order of 0.05fs/√m. This could be within the grasp of modern experimental techniques and we plan to assemble such an experiment." This could answer the question, why is light so slow?
- 11y ago

ctdonath 11y ago

In the time it takes for light from this (your) screen to reach your eyes, this (your) CPU just carried out a dozen instructions. Why is light so slow?

sunstone 11y ago
Sure, but from the frame of reference of the light it takes no time at all.

callesgg 11y ago

I like to think of light as a something we made up in our minds. A light bulb that is illuminating a wall is actually more like the light bulb touching the wall, rater than it sending out light that is hitting the wall.