High School Is Classical EM Field the Same as Photon Wave Function?

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The discussion centers on the relationship between classical electromagnetism (EM) and quantum mechanics (QM), particularly regarding locality. It argues that while QM is often misconceived as non-local, classical EM is derived from special relativity (SR) and is fundamentally local. The concept of locality varies, with signal locality adhering to the constraints of SR, while Bell non-locality arises from violations of Bell's inequalities in quantum correlations. The conversation also touches on the implications of these definitions for understanding quantum field theory (QFT) and the nature of correlations in quantum systems. Overall, the thread emphasizes the complexity of locality in quantum mechanics and the need for precise definitions in discussions of these concepts.
  • #61
[QUOTE
Blue Scallop said:
They say it takes 9 minutes for the sunlight to travel to earth. You are saying it only looks like the field is propagating, but it isn't because the field is defined all over space.. so before the sunlight photons even reach the earth.. those same photon fields are already on earth?? and only the field is changing values making it looks like the sun light is travelling?
Although the field is defined all over space (time), no one says it can't have zero amplitude for a very large region. (Here the amplitude is the complex probability amplitude that you square to get detection probability).

So if we do an experiment in the lab that involves generating a field with exactly one photon at the event (Alice's Source Emits, t=0) then the field is defined accordingly. If the geometry is right, we can predict that this field will evolve over time and we end up with a high probability amplitude for the event (Bob's detector fires, ##t=t_{propagation}##)

and only the field is changing values making it looks like the sun light is travelling?
In the sense described above, yes.
 
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  • #62
Demystifier said:
No there isn't. Classical EM field depends on only one position. However, it contains many photons so "Bohmization" requires a wave function that depends on many positions.

Haven't you seen Bill message in #56 (just before you posted). He said maybe. What is wrong with contents in the paper he gave:

http://cds.cern.ch/record/944002/files/0604169.pdf
 
  • #63
Blue Scallop said:
Haven't you seen Bill message in #56 (just before you posted). He said maybe. What is wrong with contents in the paper he gave:

http://cds.cern.ch/record/944002/files/0604169.pdf
Nothing is wrong with that paper. But classical EM field is not the same thing as photon wave function, even if they satisfy the same Maxwell equations. For more details see
https://arxiv.org/abs/1205.1992 Sec. 8.3.3.5.
 
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