Relativity?
Posted: Wed Jan 23, 2013 1:49 am
If the speed of light is always observed to be a constant, then why does light have a Doppler effect?
That's more or less the clue to all your questions.Jeff250 wrote:...The speed of light in a vacuum is constant.
The speed of sound doesn't vary with relative motion; it's the frequency and wavelength of the sound that do. The speed of a waveform is equal to multiplying its frequency (how many waves per unit time, usually per second) by its wavelength (how long each individual wave is). Those two are inversely related: as the wavelength increases, the frequency decreases, and vice-versa. However, so long as the wave stays in the same medium, the product of those two, the speed, stays the same.Burlyman wrote:If the speed of sound is variable with relative motion then why not light?
Speed appears to vary with relative motion, but you guys are saying it doesn't with light. The product of frequency and wavelength represent the speed relative to the medium, but not necessarily to the observer. My question is about velocities that are relative to observers, not velocities relative to a medium, or a vacuum.Top Gun wrote:The speed of sound doesn't vary with relative motion; it's the frequency and wavelength of the sound that do. The speed of a waveform is equal to multiplying its frequency (how many waves per unit time, usually per second) by its wavelength (how long each individual wave is). Those two are inversely related: as the wavelength increases, the frequency decreases, and vice-versa. However, so long as the wave stays in the same medium, the product of those two, the speed, stays the same.Burlyman wrote:If the speed of sound is variable with relative motion then why not light?
Yeah, that falls under what I said about the wave's source being in motion. The source point of the waves generated by tossing the pebble is in the stream, so that source point moves at the stream's speed, and an observer standing on the stream's bank will view the wave's speed as changing as the source point moves past them. As you said, if you extend the analogy to light, it wouldn't matter how fast the stream was going, since the observer would always see the same constant speed.snoopy wrote:Um... may I disagree on a (fairly) minor point?
I believe that "Normal" waves propagate at some constant speed in a certain medium, but can propagate at different speeds to the outside world according to the movement of the medium.
In other words: sonic booms happen because the speed of sound in air is a constant.... but:
If you toss a pebble in a stream, the waves caused by the pebble will travel out in a circle relative to the stream (a constant), but will travel downstream and out in a circle relative to the shore (variable, depending on the speed of the stream).
Light, however, would travel upstream and downstream at the same speed relative to the shore.
Pretty much, to the point where something moving at a very large fraction of c in relation to us would wind up being difficult to properly observe. You also run into the issue that it would require infinite energy to accelerate an object with mass to the speed of light, which is why we refer to it as the "universal speed limit."An interesting thought I just had about Doppler shift: If you have a source that is travelling at ~c, the "downstream" spectrum would approach only a wavelength of 0; and the "upstream" spectrum would approach only a frequency of 0, huh?
This infact is what got Einstein thinking about such things and eventually developed the theory of relativity. He concluded that light waves reflecting from a horse drawn wagon do not combine with the speed of the horse and carriage or the horse and carriage would appear in the nearby intersection (that he was looking at) before it actually did. however, we no know that light is radically effected by space-time distortion, but that's a different principle.Burlyman wrote:A vacuum just implies that the propagation of light isn't impeded by a material medium.
Speed appears to vary with relative motion, but you guys are saying it doesn't with light. The product of frequency and wavelength represent the speed relative to the medium, but not necessarily to the observer. My question is about velocities that are relative to observers, not velocities relative to a medium, or a vacuum.Top Gun wrote:The speed of sound doesn't vary with relative motion; it's the frequency and wavelength of the sound that do. The speed of a waveform is equal to multiplying its frequency (how many waves per unit time, usually per second) by its wavelength (how long each individual wave is). Those two are inversely related: as the wavelength increases, the frequency decreases, and vice-versa. However, so long as the wave stays in the same medium, the product of those two, the speed, stays the same.Burlyman wrote:If the speed of sound is variable with relative motion then why not light?
This is *not* true for sound waves. When you are moving at mach 0, the sound you emit travels at mach 1. When you are moving at mach 1, the sound you emit still travels at mach 1. If the speed of sound were additive to your speed, then you wouldn't be able to create a sonic boom at mach 1 (or at any speed)!Top Gun wrote:For "normal" types of waves, including sound, you're correct that the speed of the wave relative to the observer changes depending on the motion of the wave's source; it's pretty easy to see just from looking at ocean waves.
Futurama wrote:Fry: Go after him, Leela!
[Leela pushes the throttle forward. The engines struggle.]
Leela: It's no use. We were going full speed when we fired him so he's going even faster than that.
Einstein postulated based on earlier evidence that the speed of light didn't vary based on the frame of reference, and described a relation for showing how that affects what we observe, but we're not just basing it on his word: since the, we've experimentally confirmed many times over that what Einstein said is true. As for the why...well, you might as well ask why the universe exists in the first place. The invariance of the speed of light is a fundamental property of the space-time of the universe, so there isn't a real "why" we can assign to it.Burlyman wrote:I think you missed the point of what I just said. You guys are trying to say that light is somehow different than sound just because "Einstein said this and this." I haven't seen an explanation here as to why there should be a difference in principle.
Yeah, I kind of mucked up that initial explanation, but I tried to clarify things in my next post. You're right that the speed of sound in air is constant at a certain altitude, so no matter what speed a jet is moving, the sound waves will propagate from it at that set speed. However, like that river example, if the air itself was moving, then we'd observe a different relative speed taking that into account: if a sound wave is moving through air, and that air is also moving in the form of wind, then we'll observe the sound at an equivalent speed to the speed of sound plus the speed of the wind. As we know, that isn't true when it comes to light waves.Jeff250 wrote:This is *not* true for sound waves. When you are moving at mach 0, the sound you emit travels at mach 1. When you are moving at mach 1, the sound you emit still travels at mach 1. If the speed of sound were additive to your speed, then you wouldn't be able to create a sonic boom at mach 1 (or at any speed)!Top Gun wrote:For "normal" types of waves, including sound, you're correct that the speed of the wave relative to the observer changes depending on the motion of the wave's source; it's pretty easy to see just from looking at ocean waves.
I think the key to this is that light doesn't really have a medium like sound. Sound is the compression of the air it's traveling in, whereas for light, air is just stuff in the way that may slow it down somewhat. For light moving in a vacuum, what would it even mean to say that you are moving at a certain speed relative to its medium?Sirius wrote:Jeff - I think he was referring to the motion of the medium relative to the observer... I think. If it were the observer that were moving, the effect would be the same - depending on the direction of movement within that medium, the velocity of sound/other waves could appear to change.
If I understand correctly, this phenomenon doesn't happen with light. I was never really able to follow why not though - Maxwell and Einstein kind of confused me.
Well, I wouldn't say that gravity is a "medium"...rather, we can view gravity as a "bending" of the fabric of space-time, which in sufficient amounts can actually "bend" the path that light travels, as well; a black hole is basically the most dramatic result of that bending, to the point where light cannot escape from it. This all gets into general relativity, which I'd consider beyond my ability to completely wrap my head around and explain. As noteworthy as Einstein's formulation of special relativity was, it was something that other people probably would have come up with not too long afterwards as well, but general relativity was a massive leap forward.woodchip wrote:Just to muddy the water, gravity can have a profound effect on the speed of light as evidenced by black holes. So Burly is right when he talks about mediums affecting light. Gravity is one of those "mediums"
This is the closest thing I've found here to a logical answer. Several of you are just repeating what Einstein said while insisting that it's been experimentally verified. Jeff just showed that the speed of the sound wave from the source moving at mach 1 relative to the ground would actually be mach 2. So why should this be different than light?Jeff250 wrote:This is *not* true for sound waves. When you are moving at mach 0, the sound you emit travels at mach 1. When you are moving at mach 1, the sound you emit still travels at mach 1. If the speed of sound were additive to your speed, then you wouldn't be able to create a sonic boom at mach 1 (or at any speed)!Top Gun wrote:For "normal" types of waves, including sound, you're correct that the speed of the wave relative to the observer changes depending on the motion of the wave's source; it's pretty easy to see just from looking at ocean waves.
Burlyman wrote:This is the closest thing I've found here to a logical answer. Several of you are just repeating what Einstein said while insisting that it's been experimentally verified. Jeff just showed that the speed of the sound wave from the source moving at mach 1 relative to the ground would actually be mach 2. So why should this be different than light?Jeff250 wrote:This is *not* true for sound waves. When you are moving at mach 0, the sound you emit travels at mach 1. When you are moving at mach 1, the sound you emit still travels at mach 1. If the speed of sound were additive to your speed, then you wouldn't be able to create a sonic boom at mach 1 (or at any speed)!Top Gun wrote:For "normal" types of waves, including sound, you're correct that the speed of the wave relative to the observer changes depending on the motion of the wave's source; it's pretty easy to see just from looking at ocean waves.