Particle-field(wave) duality

  • #1
Griffiths says the superposition principle is not valid for electrostatic energy.I understood this concept,remembering that energy,unlike potential(point function),is a field function.Is Griffiths's conclusion still correct for point charge distribution (rqn.2.43)?
I think it's correct: we know electromagnetic energy grows larger as the charge is localised more & more(Jackson).So, when we are dealing with point charges,which are localised themselves, magnitude of W is very large so that it cannot obey superposition principle.I think the principle fails when huge magnitudes are involved.Any conceptual mistake?Please help.
Next, will it be wrong to consider stored energy creates appropriate field & condensed field creates appropriate particle?i.e. can we regard a charge as a condensed form of electromagnetic energy? or, a mass particle as a condensed form of gravitational energy?I use appropriate subscripts to distinguish betweeen the fields.Can any light be thrown from here to wave -particle duality?
 

Answers and Replies

  • #2
lightgrav
Homework Helper
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Electric and Magnetic *fields* are the Sum of individual source contributions [which is superposition] (says classical E&M, anyway).
But the *Energies* involved go as E^2 + B^2 , even for sparse fields.
Obviously a quadratic cannot be a superposition of source contributions.

The sources themselves are additive (Q = q1 + q2 + q3 ...), so are distinct
from the NON-additive Field Energies that they engender [promulgate].
A source is most closely related to the additive Field that diverges from it.
 

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