sophiecentaur said:
I imagine you have read about the 'duality' issue and that, for more than a hundred years, the two facets of Electromagnetism have been appreciated as being very different and do not apply at the same time.
Can you actually point anything specific in QM that contradicts my naive, yet beautifully elegant, notion how photons are oscillating electric and magnetic fields?
An array of sensors has no resolution at all unless an image is focussed on it. Whilst it is obvious that one photon can only activate one sensor on an array, that is not what is meant by resolution. (Look it up)
An array of photo-receptors has resolution defined by the size of those light-sensitive pixels, which is the property of that whole detector surface and independent of whether you focus image on it or not. I don't see it is obvious a single photon could not activate more than one pixel, I think that's very interesting question.
Yes I know what a wave equation is and I can solve it. An equation that describes Forces (which is what a Field will exert on a charge, for instance) does not involve any movement at all.
Force? Between what? No. There are no any lines of force when talking about single electric or magnetic fields, only field lines. You would need a separate "test" charge in order to speak of any force, and the vector of the force would be relative to the position of that test charge, nothing that would make E and B perpendicular to each other and perpendicular to the direction of their propagation.
If there were some 'movement' of anything in the transverse direction of the fields then that would involve Work being done, which would mean Energy Loss. There is no energy loss because there is no movement.
If there is no damping, there is no energy loss.
I know EM waves are transverse, which is why I compared them with waves on strings - which are also transverse. There is no motion of anything, in either case, in the direction of the propagation of the wave. In the case of mechanical waves, there is lateral movement but without energy loss because the KE and PE add together to give a constant level of energy because they are in phase quadrature . There is nothing of the sort in EM waves because there is no work, no PE and no KE.
I think it's pretty clear what "perpendicular oscillation" means and I think I provided plenty of references stating exactly that. Here is one more:
http://en.wikipedia.org/wiki/Electromagnetic_radiation
- "From the viewpoint of an electromagnetic wave traveling forward, the electric field might be oscillating up and down, while the magnetic field oscillates right and left..."
I don't know how more plainly that can be said, and if those vectors were not spatial, describing change in position, but some direction of "force" as you say, then surely someone somewhere would have mentioned it. So how about you now provide some reference that explains what is oscillating in electromagnetic wave if it's not E and B fields actually moving laterally to the direction of photon propagation?
The problem is that, for long waves, according to your naive description of a 'wavelike photon' the photons would need to have a length of several wavelengths, which would put it at, perhaps ten kilometres. How would that be picked up on a detector that is only perhaps 10cm long?
There is no any length, wavelength is simply defined by the distance where E and B fields (point field sources) cross paths, or the distance between the two points in space where they reach the peaks of their amplitude. What does length of the detector have to do with the wavelength? It's the amplitude that defines photon "thickness". Small or thin antenna would catch short bullets with about the same probability as it would catch long arrows, given they have the same thickness, so it would be the same for short and long wavelength photons.
In your terms of 'resolution', how many 'pixels' would that cover? Certainly not one photon per pixel.
It would depend on how big is the amplitude and how big pixels are, and also it would depend on how far away are these oscillating fields from the center line at the moment of impact. According to my naively literal and wonderfully marvelous interpretation a single photon could at most impact two pixels, under condition that we could make those pixels be at least half the size of their full amplitudes.