shadowpuppet said:
The FAQ at http://arnold-neumaier.at/physics-faq.txt was very ambiguous; though I agree that virtual particles can exist for a very short time and because of that the their influence on reality is small, however if they are real enough to facilitate adjustments in Feynman Diagrams then they must have a physical correlation that is more than just an 'artifact of theory' as the author describes it.
Consider the
path integral approach to ordinary nonrelativistic QM (i.e. not quantum field theory). One can get predictions by doing a sum over an infinite number of possible paths, much like the sum over Feynman diagrams showing virtual particle interactions (I believe Feynman's work on the path integral approach was a major influence on his development of the Feynman diagram technique in quantum field theory); do you think this means all the paths are "real"? If so, what about the fact that one can get identical predictions without the need to sum over paths at all, just by using the Schroedinger equation to calculate the evolution of the wavefunction? If not, what do you think is fundamentally different about summing over Feynam diagrams to get predictions about actual measured results?
shadowpuppet said:
Please don't oppose my position if you do not have a definite position yourself. There is no space-time in which space-time can travel.
Who said gravitons were supposed to
be space-time, rather than just another type of particle moving through spacetime? But on the subject, in classical general relativity without gravitons, we can talk about gravitational waves traveling through spacetime, and yet they themselves are just localized ripples in the curvature of spacetime.
shadowpuppet said:
Let me draw you a mental picture. If one graviton has mass, then it must impart gravity.
Gravitons are not theorized to have rest mass, but they would have energy, so they would impart their own gravity as you say.
shadowpuppet said:
Because gravitons transmit gravity, the graviton must emit another graviton.
Because that graviton also has mass and imparts gravity, it must emit another graviton.
Because that graviton also has mass and imparts gravity, it must emit another graviton.
...
Because that graviton also has mass and imparts gravity, it must emit another graviton.
Sorry that it's not infinite like I verbally said it would be.
Are you unaware that in accepted quantum field theories like quantum electrodynamics, the calculations
already involve an infinite sum of Feynman diagrams, each with distinct sets of virtual particles? But a series with an infinite number of terms can nevertheless produce a finite answer, as we all learned in calculus. I don't understand the technical details, but from what I've read
renormalization is apparently the technique that allows you to get finite answers from the infinite sum of Feynman diagrams in quantum field theory. Quantum gravity does have problems with renormalization, but replacing the notion of gravitons as point particles with the notion of gravitons as strings is apparently one way to solve this.
shadowpuppet said:
What then is a positive argument? And what is handwavey? Is that gravitons are transmitted?
A positive argument would be that there are convincing reasons to believe that the gravitational force is mediated by gravitons. "Handwavy" is a term often used by physicists and other scientists to describe arguments that aren't at all rigorous and leave out important steps, see
here for example. My argument is just that
you haven't presented any convincing, non-handwavy reasons to believe there is something impossible about the idea that the gravitational force is mediated by gravitons.
JesseM said:
It's "negated"? Where, exactly?
shadowpuppet said:
You must have very bad eyesight because I put both negations directly under that statement so that you wouldn't miss them.
Please spare me the childish taunting, of course I read those statements, but neither is a "negation" of the statement that "that virtual particles transmit the non-oscillating component of acceleration" in quantum field theories. The two statements you quoted only said that it is unclear whether a theory of quantum gravity would be a quantum field theory at all (though they certainly did not deny it was possible), but even if it turns out that gravity cannot be described by a quantum field theories, the fact remains that in any quantum field theory (like quantum electrodynamics), virtual particles are responsible for forces that are not associated with the waves produced by oscillating charges. I never said that this would definitely be true in a theory of quantum gravity, because I never said a theory of quantum gravity would necessarily be a typical quantum field theory.
shadowpuppet said:
Perhaps visual impairment is the reason that you think that space can travel through space?
No one said that gravitons are "space", whatever that is supposed to mean.
shadowpuppet said:
I don't know where you got the new quote (One of the first steps in the development of quantum mechanics...)
From the very first paragraph of the same
FAQ on virtual particles that your first quote came from.
JesseM said:
I have never claimed that a quantum gravity theory will say the force of gravity is mediated by gravitons--I'm just saying that your arguments which purport to prove there is something inherently impossible about the idea are, again, uniformed and so handwavey as to be "not even wrong".
shadowpuppet said:
Yes you did claim that, it was the first sentence you posted on this thread so go look it up.
In the first sentence I was only talking speculatively about how a theory of quantum gravity involving gravitons might look, not saying anything definite. Read it again:
Measurable gravitons would probably only be present when gravitational oscillators produce gravitational waves, in the case of the "force of attraction between masses" one might use "virtual gravitons" in one's calculations, just like virtual photons are used to explain attraction/repulsion between charged particles in quantum electrodynamics
shadowpuppet said:
It's not my problem that you think 'real' accelerations are mediated by 'imaginary' particles
Are you using "imaginary" to mean virtual? Again, in a quantum field theory like quantum electrodynamics, it's definitely true that if no electromagnetic waves are present (and electromagnetic waves are only created when charges accelerate), then there will be no non-virtual photons, but virtual photons can still create forces between charges.
shadowpuppet said:
but even that was negated.
No, it wasn't. Again, the quotes you posted only said it was questionable whether quantum gravity would be a standard quantum field theory, but nowhere do they negate what I am saying about how standard quantum field theories such as quantum electrodynamics work. Again, the first section of the
virtual particle FAQ echoed what I am saying about real vs. virtual photons in quantum electrodynamics:
One of the first steps in the development of quantum mechanics was Max Planck's idea that a harmonic oscillator (classically, anything that wiggles like a mass bobbing on the end of an ideal spring) cannot have just any energy. Its possible energies come in a discrete set of equally spaced levels.
An electromagnetic field wiggles in the same way when it possesses waves. Applying quantum mechanics to this oscillator reveals that it must also have discrete, evenly spaced energy levels. These energy levels are what we usually identify as different numbers of photons. The higher the energy level of a vibrational mode, the more photons there are. In this way, an electromagnetic wave acts as if it were made of particles. The electromagnetic field is a quantum field.
Electromagnetic fields can do things other than vibration. For instance, the electric field produces an attractive or repulsive force between charged objects, which varies as the inverse square of distance. The force can change the momenta of the objects.
Can this be understood in terms of photons as well? It turns out that, in a sense, it can. We can say that the particles exchange "virtual photons" which carry the transferred momentum. Here is a picture (a "Feynman diagram") of the exchange of one virtual photon.
shadowpuppet said:
The FAQs claimed both this and that quantum gravity is inconsistent and I am posting the quote below SO THAT YOU DON'T MISS IT THIS TIME!
Quantum gravity is not yet a complete, established theory, so gravitons are still speculative. It is also unlikely that individual gravitons will be detected any time in the near future.
Furthermore, it is not at all clear that it will be useful to think of gravitational "forces," such as the one that sticks you to the Earth's surface, as mediated by virtual gravitons. The notion of virtual particles mediating static forces comes from perturbation theory, and if there is one thing we know about quantum gravity, it's that the usual way of doing perturbation theory doesn't work.
Hmm, this quote actually backs up what I said about
standard quantum field theories when it refers to "The notion of virtual particles mediating static forces", and it does not say that this standard quantum field theory picture is definitely wrong when it comes to quantum gravity, only that "it is not at all clear" whether this picture will work. They also that "the usual way of doing perturbation theory doesn't work", and here I think they are referring to what I mentioned above about renormalization, which is part of perturbation theory (see the third paragraph of
wikipedia's renormalization article), failing to give finite answers when gravitons are treated as point particles. But as I said, my understanding is that you can get finite answers again if gravitons are treated as 1-dimensional strings instead. This is not to say that string theory is definitely correct, but that it provides at least one possible way out of the problem that quote is referring to at the end.
shadowpuppet said:
Many Worlds is an interpretation of quantum mechanics that has about as much predictive power as String Theory. How do you explain the Alain Aspect experiments?
All interpretations of QM make the same predictions about every possible experiment, including the Aspect experiment, that's why they're called "interpretations" rather than actual theories. If you'd like a simple picture of how a MWI-like picture can explain violations of Bell's inequality without the need to violate locality, see my
post #11 on
this thread; basically the idea is that each experimenter splits into multiple copies when they make their measurement, and the universe doesn't have to decide which copy of experimenter #1 gets matched up with which copy of experimenter #2 until there's been time for a signal moving at the speed of light to go between them.
But just as I am not trying to argue for any definite conclusions about gravitons or quantum gravity, so I am not trying to argue that there is any reason to believe the MWI is correct. My point is just that
your definitive statements on these subjects are unjustifiable since there exist
possible ways in which they could be wrong that are perfectly consistent with everything we do know.
JesseM said:
Whether string theory turns out to be on the right track or not (and quite a lot of physicists think there's a good chance of that) is irrelevant to my point, which is just that one can construct theories in which the gravitational force is mediated by gravitons, which still manage to reproduce the same predictions as general relativity and don't create the sort of problems that you imagine in your handwavey arguments.
shadowpuppet said:
Yes...there are no problems at all in the Many Worlds of String Theory...and please don't bring up topics that are irrelevant to your point.
They are relevant to showing that definitive claims like "there is no possible way a theory of quantum gravity involving gravitons could match the predictions of general relativity" (a paraphrase of what I think you have been arguing on this thread, correct me if I'm misunderstanding) or "action-at-a-distance may occur between two entangled states" (a direct quote). Again, although there is no strong reason to believe either string theory or the many-worlds interpretation are true, each one represents a "proof of principle" that either of the statements above
could be wrong without it contradicting things we already know.
shadowpuppet said:
On the contrary...your understanding of theoretical physics and interpretation of experimental results is obviously unique to you
Really? Point to a specific statement about physics which you think is "unique to me" and I will try to refer you to an example of a professional physicist stating the same thing.
shadowpuppet said:
General Relativity predicts that gravity is not imparted by gravitons, real or virtual.
And classical electromagnetism predicts that the electromagnetic force is not imparted by photons, real or virtual. Quantum electrodynamics says something different, and it reproduces all the successful predictions of the classical theory.