cesar314
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Haelfix said:I hate talking about what is or is not 'fundamental'. Its philosophy more so than science.
Fine, fine. I agree, I fell prey, after such a long post, to laziness in my language. I did not mean 'fundamental' as in a fundamental entity of ontological existence, but rather that on the femtoscale the fields are quantized. I wanted to illucidate that, relevant to the post that started this thread asking about whether magnetic fields were made of photons (which was really the question I wanted to address in a fashion suitable to the class of question itself), the aforementioned virtual particles do not 'make' magnetic fields, but rather they do play a 'fundamental' role as quantizations of the quantum electromagnetic field. Please note that I did try to make a quick note to the philosophical uncertainty of the ontology:
cesar314 said:But here is where the philosophy of science becomes unclear, because then we have all these photons and what exactly are they but quantizations of some action?
You are of course right about the lack of invariance, especially considering the magnetic field itself even classically arises due to changes in reference frame.Haelfix said:The local fields 'E' and the fields 'M' are not relativistic invariants, you can say boost your frame and arrange it so that they swap places.
Ah, philosophy.In fact, in general the entire field formalism is redundant, what is or is not fundamental is of course only true up to 'field redefinition'.
Moreover they appear in quantum mechanics as sort of a derived concept, as combinations of the electromagnetic field strength potentials.
(addressed above) Though perhaps my language did delegate an unfair bias toward the particle interpretation of QFT, I wanted to clarify the concept that photons are not little elements of magnetic force.Its far worse w.r.t the point of view of particles being fundamental. In fact, you cannot make quantum mechanics consistent with special relativity without insisting that operators are built out of fields. So already you have particles relegated to being 'excitations of some field' or built out of 'lumps of energy and momentum'.
I totally agree with you. Perhaps this philosophical issue of ontology will never go away; with the current paradigms, I can see no plausible way to argue about what is 'fundamental' except within the confines of specific theories or mechanisms for computation. That is what I loosely meant about 'fundamental' in the sentence you commented upon, though obviously there are problems with photons as fundamental even within the well-established paradigm of QED. I do not suspect superstring theories will much remedy the situation, if indeed anything more philosophically 'fundamental' can be 'discovered'In general I find convincing arguments against just about any ontology I can place on what is or is not fundamental and no good a priori bet (probably an indictment of my intellect, but I suspect I am in good company)
. It's all about falsifiability, really.Thanks for the excellent link, by the way! It contains a most lucid discussion, thank you.