What is free electromagnetic field?

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Free electromagnetic waves can exist as solutions to Maxwell's equations in vacuum, independent of charges and currents. However, these solutions cannot exist in a spacetime that has never contained any charges or currents. The discussion highlights that while free-space solutions are mathematically valid, they require specific boundary conditions to be meaningful. The concept of a background field, which may have distant sources, is also explored. Ultimately, the existence of electromagnetic waves in a charge-free world remains a theoretical consideration rather than a practical reality.
sergiokapone
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Maxwell's equations solutions in vacuum - is a free electromagnetics waves.
Such solutions can be obtained even without knowing anything about the charges and currents. Does this mean that such waves is the essence , not related charges, e.g. free electromagnetic waves?

Moreover, the Maxwell's equations with ##\delta##-shaped sources also give the solutions, that looks like free electromagnetic waves, but in a far (wave) zone. Sometimes it is said that it is a field that is off the charge , but its amplitude is uniquely determined by the motion of the sources .

Is it possible to think that there are waves that are generated by charges , and others which exist independently?
 
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sergiokapone said:
Is it possible to think that there are waves that are generated by charges , and others which exist independently?

Yes, total field can be though of as sum of retarded fields of close-by particles and the background field. The background field can be thought of as having no sources, or as having very distant sources.
 
Jano L. said:
The background field can be thought of as having no sources
Did I understand correctly, if we imagine the world with no charges, for example, the EM-waves will still exist?
 
The classical e-m field is created by classical sources. The <free Maxwell fields> are a useful approximation, especially when going into quantum mechanics.
 
Ok, thanks for all.
 
sergiokapone said:
Did I understand correctly, if we imagine the world with no charges, for example, the EM-waves will still exist?
There are two questions here. Do free-space solutions to Maxwell's equations exist? (Yes) Will they exist in a spacetime that has never contained any charges or currents? (No)
 
mikeph said:
Will they exist in a spacetime that has never contained any charges or currents?(No)
But it does not follow from the Maxwell's equations.
Therefore , the answer is "no" - a hypothetical.
 
The answer rather "may be not, but it is possible"
 
sergiokapone said:
Did I understand correctly, if we imagine the world with no charges, for example, the EM-waves will still exist?
Mathematically, it is possible to have non-vanishing EM field without electric charge anywhere.
 
  • #10
Only if you have non-zero boundary conditions. Which then makes the problem, incomplete in a sense.
 
  • #11
Neutron-antineutron annihilation creates gamma rays. Can we conclude from this, the neutron is composed of charged subatomic particles ("quarks")
 
  • #12
*Bump*
:)
 
  • #13
zoki85 said:
Neutron-antineutron annihilation creates gamma rays. Can we conclude from this, the neutron is composed of charged subatomic particles ("quarks")
No, electron-positron annihilation also produces gamma-rays but there's no evidence that electrons and positrons have any substructure.
 
  • #14
Vagn said:
No, electron-positron annihilation also produces gamma-rays but there's no evidence that electrons and positrons have any substructure.
You didn't understand the question
 
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