TrickyDicky
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DaleSpam said:How does it show up in QED?
See section 7.5 of "An Introduction to Quantum Field Theory" from Peskin and Schroeder.
DaleSpam said:How does it show up in QED?
I don't have it. Can you summarize? Does the vacuum energy only show up via the EFE, or directly in the EM field? Or are you just talking about a gauge transformation of the potentials which attributes an energy to the vacuum but has no measurable effect?TrickyDicky said:See section 7.5 of "An Introduction to Quantum Field Theory" from Peskin and Schroeder.
DaleSpam said:I don't have it. Can you summarize? Does the vacuum energy only show up via the EFE, or directly in the EM field? Or are you just talking about a gauge transformation of the potentials which attributes an energy to the vacuum but has no measurable effect?
Sure, but AFAIK that is an EM self-interaction or an interaction with another static EM field. I don't think that you need to attribute density to empty spacetime because of that.TrickyDicky said:Photon self-energy shows up directly in the EM field and it has measurable effects
You must have missed my point, I don't attribute an energy density to empty spacetime because of vacuum polarization. What I said is that vacuum polarization, like is the case for instance with the Lamb shift, spontaneous photon emission, the Casimir effect, the van der Waals bonds, etc, is a manifestation of this energy density. This was in the context of your asking how is this energy density relevant for EM in vacuum.DaleSpam said:Sure, but AFAIK that is an EM self-interaction or an interaction with another static EM field. I don't think that you need to attribute density to empty spacetime because of that.
Quickless said:There are mathematical models and then there is reality. For some the distinction becomes quite blurred. In all relativity theories, “space” is defined by crude assumption. The choices being mathematical convenient. My opinion of “space-time” is that it is a mathematical construction, a creature of the mind. The “space” being referenced relating to a fuzzy concept that in some way captures the attribute of distance.
Our concept of “space” is incomplete.
Quickless said:That the progress of things is impede in “space” vouchsafes of a “somethingness” of space. The approach being what the attributes might be of something that we can’t detect but can only infer.
Quickless said:All must agree that relativity theories are missing something. String theory is a groping for a more articulate formulation of “space”. String theory being a game, nonetheless.
I don't see how the above supports your point. To my understanding, that energy density you are talking about is the energy density of the field itself, not the energy density of some "medium" which is separate from the field. Clearly the field has energy.TrickyDicky said:Since you said that this density is not a geometric property (of course it isn't), my point was that we can't skip mention of "material properties" altogether in this discussion about spacetime and light propagation.
Completely agree. But here you are entering into semantic distinctions because the field is only a physical property associated to spacetime, like energy for instance, it doesn't have an entity in itself without spacetime.(I mean physically, mathematically it does) But for most people a funny thing happens with fields in this context. It's like if I quantitavely describe all the material features of an object and call'em its field, and then say that this description is all that exist and declare the object either non-existent or just a geometrical abstraction without material properties even though I have just described them as its field.DaleSpam said:I don't see how the above supports your point. To my understanding, that energy density you are talking about is the energy density of the field itself, not the energy density of some "medium" which is separate from the field. Clearly the field has energy.
Clasically you might be right, but maybe due to the use of the concept of field in the way described above.DaleSpam said:QM is not an area of strength for me, so I could easily be wrong in the quantum domain, but classically there is no reason to assign non-geometric properties to space-time in order to explain EM.
TrickyDicky said:Photon self-energy shows up directly in the EM field and it has measurable effects, I think it is a small part of the Lamb shift splitting and according to WP it was observed experimentally in 1997 using the TRISTAN particle accelerator in Japan.
I can't summarize it any better as I'm no expert in QFT by any means and I have enough of a hard time understanding it myself to even try and explain it correctly to others, but I'm sure in the QM forum there will be lots of people that can explaint it to you.
By this logic everything in physics "is only a physical property associated to space-time". And then we are back to Gray Ghost's definition of medium. Which is fine by me, as long as you recognize that it is a tautology.TrickyDicky said:Completely agree. But here you are entering into semantic distinctions because the field is only a physical property associated to spacetime, like energy for instance, it doesn't have an entity in itself without spacetime.(I mean physically, mathematically it does)
DaleSpam said:By this logic everything in physics "is only a physical property associated to space-time".
AFAIK, dimensional regularization is a step previous to the renormalization proper that makes the ultraviolet divergences of Feynman integrals in 4D Euclidean space converge in less dimensions. It has nothing to do with LT that I know.PhilDSP said:... A radiative correction term is required. The mathematically simple way of accounting for that is to develop a scheme of charge renormalization which involves the procedure of dimensional regularization (of spacetime) Is that somewhat like a "transformation" on top of the LT? (It certainly sounds like it to me).
The only reason that I know that the EM field could be considered "a physical property associated to spacetime" is the fact that there are dE/dt and dE/dx terms in the differential equations governing the EM field. If that is all it takes to make something "a physical property associated to spacetime" then that qualifies just about everything in physics.TrickyDicky said:By what logic? I simply transcribed the definition of Field from the WP. Does everything in physics have the same definition as fields? Might as well be, but then it would indeed be a tautological definition.
DaleSpam said:Did you have something else in mind with that comment? If so, then in your opinion how does the EM field differ from other physical quantities such that the EM field is "a physical property associated to spacetime" and other things are not?
It is just not obvious to me how you can make a concept of spacetime as a medium for the EM field that isn't a simple tautology. That said, I am ok with the concept.
cowmoo32 said:When a source begins to emit light, what exactly is occurring to produce an instantaneous velocity of c?
cowmoo32 said:If we're talking about quantized photons, would it be be appropriate to say there is zero acceleration? (I would think not because technically there is no change in velocity)
cowmoo32 said:Or if we refer to the light as a wave function, is the wave simply propagating with a velocity of c? Or if we use the term wavicle how is its behavior described?
TrickyDicky said:Great, some tautologies are cool.
Cowmoo said:When a source begins to emit light, what exactly is occurring to produce an instantaneous velocity of c?
TrickyDicky said:AFAIK, dimensional regularization is a step previous to the renormalization proper that makes the ultraviolet divergences of Feynman integrals in 4D Euclidean space converge in less dimensions. It has nothing to do with LT that I know.
GrayGhost said:Great, now that that's out of the way, I was wondering how you yourself would speculate on the OP's question ...
When a source begins to emit light, what exactly is occurring to produce an instantaneous velocity of c?
Any ideas?
GrayGhost
cowmoo32 said:When a source begins to emit light, what exactly is occurring to produce an instantaneous velocity of c? If we're talking about quantized photons, would it be be appropriate to say there is zero acceleration?
GrayGhost said:Great, now that that's out of the way, I was wondering how you yourself would speculate on the OP's question ...
What goes on between the source and the destination could be explained by considering an isolated source, and using Schwarzschild space, in this setting the EM wave radiated would be at infinity, given the fact that this space is asymptotically Minkowskian so it is bounded by Minkowski space at infinity and light follows a null geodesic so it lives at spatial infinity. It is made finite only upon detection.cowmoo32 said:So what exactly is occurring? Is a wave propagating at c and what we see as light just some sort of EM disturbance? I understand how light is reflected off of objects and into our eyes, letting us see, but what is going on between the source and the destination?
PhilDSP said:No, no theoretical connection. I meant that dimensional regularization seems to be employed in a way that is analogous to the LT. Lorentz worked toward finding a mathematical procedure that would get him from his variation of the Maxwell equations to solutions of the wave equations that gave the same optical results as Fresnel's theory. He used the LT to adjust the initial conditions for the differential equations so that the sought for solution could easily be obtained.
Dimensional regularization seems to be a similar procedure. There is the theoretical and experimental value for charge that is expected but the Klein-Gordon and Dirac equations (or rather the QED langrangian) don't produce those values unless the initial conditions are shifted.
TrickyDicky said:I'm more interested in the second OP question: What goes on between the source and the destination could be explained by considering an isolated source, and using Schwarzschild space, in this setting the EM wave radiated would be at infinity, given the fact that this space is asymptotically Minkowskian so it is bounded by Minkowski space at infinity and light follows a null geodesic so it lives at spatial infinity. It is made finite only upon detection.
DaleSpam said:As long as you associate the "medium" only with geometric properties like distance and time and not with material properties like density and velocity.
GrayGhost said:I'd submit that everything that exists is of the very medium. If no medium, the electron could not exist let alone work. But then, I haven't been able to prove it either, so :)
GrayGhost
danR said:The more fundamental mystery that cuts across all these kinds of waves and waving, and even the propagation of particles, is the conservation of momentum. Why doesn't a golf ball go any old way when I hit it? It would make life more interesting.
nitsuj said:If so, those astronauts have a lot of faith in this so called "conservation of momentum". What if it stops conserving all of the sudden?![]()
Drakkith said:I think that the idea of a source "beginning to emit light" is incorrect. Light is emitted instantaneously and it has no choice but to propagate at c
GrayGhost said:Hmmm. Well, I'm not so sure. Got a question for you ...
How much time does it take an electron to transition the gap from conduction band? It's a finite time, yes? If so, then it seems that there exists a process whereby the photon commences formation, builds, and completes formation ... even though it travels at c during the entire process and thereafter. Yes?
Or, is the transition considered instant?
I think the OP was interested as to WHY the photon would exist at speed c even while being formed, ie no acceleration. So, what process could do that, and how.
GrayGhost
Drakkith said:As far as I know the jump between energy levels is instant. But I'd really like someone more experienced in this area to take a shot.
Drakkith said:Billions of everyday examples of nature following this rule alongside millions of more scientific observations and finally thousands of people over the course of at least a few centuries acknowledging that the rule has never been broken. So "what if" scenarios are simply not realistic currently. But IF it did stop...well the results would be obvious.
DaleSpam said:Why would a newly created particle start at 0? That doesn't make any sense.
If it is 0 in some frame then it is moving at some velocity in all other frames. So it must be able to start at some non zero velocity anyway.
Which velocity should that be? Obviously (IMO) the one that conserves energy and momentum. For photons that is always c.
Quickless said:One does not create light. One creates the ability to perceive light.
Yes it is true that c conserves momentum for a photon. You clearly aren't a photon if you conserve momentum and yet don't travel at c.nitsuj said:Is that true that "c" conserves momentum? I conserve momentum but I don't travel at c, often.
DaleSpam said:Why would a newly created particle start at 0? That doesn't make any sense.
If it is 0 in some frame then it is moving at some velocity in all other frames. So it must be able to start at some non zero velocity anyway.
Which velocity should that be? Obviously (IMO) the one that conserves energy and momentum. For photons that is always c.
DaleSpam said:Yes it is true that c conserves momentum for a photon. You clearly aren't a photon if you conserve momentum and yet don't travel at c.
I thought it was a pretty reasonable response given your comment. In fact, it was quite restrained compared to my first impulse.nitsuj said:If I were you, I would just refrain from responding to questions that I found require a smart *** response, and would save it for face to face encounters.
DaleSpam said:I thought it was a pretty reasonable response given your comment. In fact, it was quite restrained compared to my first impulse.
What precisely did you find out of line, given that I was responding to your previous post? Or are you allowed to make such comments and I am not allowed to respond?
But my comment (and the entire thread) was specifically limited to photons/light:nitsuj said:Reminding me I'm not a photon is a smart *** answer to my question regarding "c" conserving momentum and me conserving momentum too, however don't travel at "c".
I am sorry that I misinterpreted your sincere question as a sarcastic quip. I hope you can understand why I made that mistaken assessment given the context.DaleSpam said:Which velocity should that be? Obviously (IMO) the one that conserves energy and momentum. For photons that is always c.
DaleSpam said:For a massless particle, like a photon, to have any energy or momentum it must travel at c. Are you at all familiar with four-vectors, especially the four-momentum?
DaleSpam said:But my comment (and the entire thread) was specifically limited to photons/light:I am sorry that I misinterpreted your sincere question as a sarcastic quip. I hope you can understand why I made that mistaken assessment given the context.
For a massless particle, like a photon, to have any energy or momentum it must travel at c. Are you at all familiar with four-vectors, especially the four-momentum?
No, the medium is the electromagnetic field.Drakkith said:Would it be incorrect to say that the medium is spacetime?
Yes, it is just shorter to write.GrayGhost said:When you say "at c", you really mean "travel at invariant speed", yes?
I just want to make sure I'm reading this correctly: Are you implying that light always exists? The way I read this (especially regarding the line on paper analogy) is that you're saying that it wouldn't be proper to ask if the beginning of the light (or line in the analogy) experienced an acceleration. I agree with that, but no matter if you view light as a wave or a stream of photons it must have a source. It isn't there one moment and is the next; something happened.bobc2 said:Again, a 4D picture of the photon worldline is helpful. The 4D object exists as a filament-like structure oriented at a 45 degree angle for all observers. Now, if I draw a 45 degree straight line on a piece of paper, would you be asking if the first couple of points on the line had infinite acceleration in order to yield the 45 degree orientation?
Referring to my last point stating that both waves and particles must have a source, it shouldn't matter in which way you view light, both the wave and the photon immediately achieve a velocity of c.It might help to specify whether you are focusing on just one photon, or whether you are thinking of classical light wave propagation, where perhaps billions of photons are participating in a beam of light.
So you wouldn't consider turning on a laser as "beginning to emit light"? At t0 it was not emitting light, at t1 it was emitting light.Drakkith said:I think that the idea of a source "beginning to emit light" is incorrect. Light is emitted instantaneously and it has no choice but to propagate at c
So the electric field exists in a vacuum? It is my understanding that an electric field only exists around an EM source. If it does exist in a vacuum (I know I'm hitting on a quantum discussion), might it be linked to virtual particles?HallsofIvy said:No, the medium is the electromagnetic field.
cowmoo32 said:So you wouldn't consider turning on a laser as "beginning to emit light"? At t0 it was not emitting light, at t1 it was emitting light.
So the electric field exists in a vacuum? It is my understanding that an electric field only exists around an EM source. If it does exist in a vacuum (I know I'm hitting on a quantum discussion), might it be linked to virtual particles?
I understand that. You said the medium is the electric field, so let's take an area of space devoid of anything: no stars, planets, nothing. Light can travel through it, but by what means? In this area of space in a perfect vacuum there are no electrons or protons present, and thus no EM field.Drakkith said:Yes, an EM field easily exists in a vacuum. If an electron and a proton are in intergalactic space and separated by a mile without anything else in between they would still feel each others EM Field.
Cowmoo32 said:So you wouldn't consider turning on a laser as "beginning to emit light"? At t0 it was not emitting light, at t1 it was emitting light.Drakkith said:No. I would say the actual emission of light is instantaneous. The laser obviously has a finite time while charges move and things start to happen before the first photon is emitted, but the actual emission I thought was instant.
GrayGhost said:My opinion ... although each portion of the photon moves always at c during its entire creation process, and thereafter, it takes time for the photon to form from start to end. If it did not, then how could have a measurable wavelength?
GrayGhost