By the way, in principle it is possible to label each atom of a given diamond with a unique number. If photons traversing this diamond actually were more than half of the time (n_diamond > 2) at rest (i.e. transformed into energy and momentum of carbon atoms), then it would in principle be possible to determine the path of a photon by enumerating the label-numbers of the atoms where the photon rested.
No. It is in principle possible to label each carbon nuclei in a sample of diamond. It is most definitely NOT possible, even in principle, to label each electron in a sample of diamond. And electrons, not nuclei, dominate the interaction of light with matter. So you're simply wrong.
Your defense of the weird QED explanation of sub-luminal propagation speed of photons in transparent media is in the lines of Werner Heisenberg and Niels Bohr, who introduced immunization stratagems (uncertainty principle, complementarity) in order to defend their prejudices against genuinely physical objections (e.g. from Albert Einstein).
"Bohr rejected Einstein's particle of light, proposed in 1905, until well into the 1920s" (see). After evidence had shown more and more that Einstein was right, Bohr (and others) succeeded in transforming Einstein's physical photon-concept into a theological concept. Einstein then fought the theological properties attributed to quanta. Nevertheless, the supporters of the Bohr-fraction succeeded in convincing the world that Einstein (instead of Bohr) was the obstructionist in recognizing the reality of quanta.
What Ziggurat actually means is this:
I concede that physical reasoning (e.g. conservation laws, possibility of images in space and time) is applicable in the case of carbon atoms. However, such physical reasoning is not applicable in the case of electrons, because electrons are quantum objects, and quantum objects are not subject to physical reasoning.
But why should it not be possible to label the electrons of a diamond? It may be difficult or impossible to distinguish between the electrons of an electron pair. But from the fact that (normal, ideal) diamonds have a very regular crystal structure and are excellent electrical insulators, we conclude (by physical reasoning) that the two electrons of each carbon bond are essentially stationary. So if it is possible to label the carbon atoms, then it is also possible to label the carbon bonds and therefore the electron pairs.
So what Ziggurat advocates is this:
A photon traversing a diamond takes on the one hand all paths, i.e. the photon comes close to every single electron pair of the diamond. On the other hand, the photon is absorbed and reemitted by a sequence of (labeled) photon pairs.
Such a physical absorption and reemission is obviously inconsistent with the photons-use-all-paths claim. But in theology (as opposed to physical reasoning), there is always a solution. In analogy to
virtual particles one can introduce
virtual absorption and reemission. So photons are
virtually absorbed and reemitted by all electron pairs of the diamond. In media with
refractive index n > 1 in general, such virtual stops happening everywhere reduce the speed from c between two stops to c/n over many stops.
Cheers, Wolfgang