- #71
Mentz114
- 5,432
- 292
There are strong sounding arguments that suggest that the EM field retains its discreteness when its not interacting with matter. I still think this is an undecidable ( by experiment ) question.
arguments against discreteness
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I'm not an expert but in quantum optics it's hard to 'pin down' the photon. The photon number operator can have vacuum fluctuations which are large compared to the average photon number. There's no conservation of photon number, obviously.
The first quantization wave equation of the photon lacks localizability, which may be interpreted as saying that the photons are everywhere at the same time.
In quantum field theory ( second quantisation ) photons are just notches on a stick, ie Fock space states.
How can one define the 'size' ( spatial boundaries) of a photon ?
[end of arguments]
Whether one believes that EM fields are a lot of photons flying about, or a non-local energy field, makes little difference in practice. The fact is that in current mainstream theories, there are no photons per se, although the word is used a lot.
If we define a photon as 'a quantum of the EM field' and leave it there, we should get along fine.
I would like to amend my original claim to "we may not be able to determine if the EM field is discrete (quantised) other than when interacting with matter".
arguments against discreteness
------------------------------
I'm not an expert but in quantum optics it's hard to 'pin down' the photon. The photon number operator can have vacuum fluctuations which are large compared to the average photon number. There's no conservation of photon number, obviously.
The first quantization wave equation of the photon lacks localizability, which may be interpreted as saying that the photons are everywhere at the same time.
In quantum field theory ( second quantisation ) photons are just notches on a stick, ie Fock space states.
How can one define the 'size' ( spatial boundaries) of a photon ?
[end of arguments]
Whether one believes that EM fields are a lot of photons flying about, or a non-local energy field, makes little difference in practice. The fact is that in current mainstream theories, there are no photons per se, although the word is used a lot.
If we define a photon as 'a quantum of the EM field' and leave it there, we should get along fine.
I would like to amend my original claim to "we may not be able to determine if the EM field is discrete (quantised) other than when interacting with matter".