lightarrow said:
But which is (I am just asking) the physical meaning of a particle (I'm talking of virtual particles of course) which energy E and momentum p don't obey E2 = (cp)2 + (mc2)2 ?
Can you explain why virtual photons do not obey this law? I'm not challenging that you are correct, but I hadn't seen before that virtual photons fail this equation. Or am I misreading you?
lightarrow said:
How much or to which extent can we believe in the physical existence of a matematical tool which is very useful in physics but cannot be directly measured? (Difficult question, I know)
But this gets back to what I had asked earlier. What does it mean to measure something "directly." When we say we "detect" a real photon what we mean is that we see an excitation occur and we say this is a detection of energy being transferred from some other source to the atom/electron/phonon/whatever that absorbed the photon. We did not "see" the photon midflight, we saw its effect and we call that a "detection" of the photon.
But isn't the same thing happening with, say, an electron being accelerated to a proton? We see a change in momentum of the electron and deduce that momentum has been transferred..but by what agent? Can't the measurement of a change in momentum count as just as much a "detection" of a "virtual" photon as the the change in energy of an electron/atom/phonon/whatever be a 'detection" of a "real" photon?
I do have a further question though... photons
are the mediator of the EM force. [There have been a few threads that start out with the question 'What is a photon?' and occasionally someone will answer "the force carrier of the EM force." as the
only answer.]
But this means that
all photons have to be force carriers, not just these virtual ones. While I alluded to virtual ones in the Feynman book, it seems that this is unnecessary. If "the carrier of the EM force" is a suitable definition for "photon," than
any photon should be transmitting EM force...not just the virtual ones.
And so now I'm wondering what in the world that means for just everyday, ordinary photons. For example, we say something like "An electron drops from n=3 to n=1 orbital and a photon is released." What does this electron moving orbitals have to do with a conveyance of EM force?
Is it possible for this force to be attractive rather than repulsive? If only virtual photons can carry repulsive force, can someone tell me how the argument in http://math.ucr.edu/home/baez/physics/Quantum/virtual_particles.html" changes when the photon in question is 'real' rather than virtual?
[Perhaps the answer to that last question is that "real" photons are detected, hence collapsing their wave function, hence you no longer have the interference between the two momenta amplitudes?]