What is free electromagnetic field?

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Discussion Overview

The discussion revolves around the nature of free electromagnetic fields, particularly in the context of Maxwell's equations and their solutions in vacuum. Participants explore whether electromagnetic waves can exist independently of charges and currents, and the implications of such existence in different theoretical scenarios.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that solutions to Maxwell's equations in vacuum represent free electromagnetic waves that do not necessarily relate to charges.
  • There is a suggestion that the total electromagnetic field can be viewed as a combination of retarded fields from nearby particles and a background field, which may or may not have sources.
  • One participant questions whether electromagnetic waves would still exist in a hypothetical world without charges, leading to a discussion on the existence of free-space solutions to Maxwell's equations.
  • Another participant asserts that while free-space solutions exist mathematically, they may not exist in a spacetime that has never contained charges or currents.
  • There is a contention regarding the implications of boundary conditions on the existence of electromagnetic fields without charges.
  • The discussion briefly shifts to neutron-antineutron annihilation and its relation to the composition of neutrons, with participants debating the implications of gamma-ray production in this context.

Areas of Agreement / Disagreement

Participants express differing views on whether electromagnetic waves can exist independently of charges, with some asserting that they can exist mathematically while others argue against their existence in a charge-free spacetime. The discussion remains unresolved regarding the implications of boundary conditions and the nature of fields in relation to charges.

Contextual Notes

There are limitations regarding the assumptions made about the existence of electromagnetic fields without charges, as well as the dependence on specific definitions and boundary conditions. The discussion also touches on the implications of particle interactions, which are not fully resolved.

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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