What Causes the Lorentz Force in Electromagnetism?

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Discussion Overview

The discussion revolves around the nature and origin of the Lorentz force in electromagnetism, exploring whether it is a result of moving charges producing magnetic fields that interact with external fields, or if it represents a distinct phenomenon. The scope includes theoretical considerations and interpretations of established equations in electromagnetism.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions if the Lorentz force is simply due to the interaction of magnetic fields produced by moving charges with external magnetic fields, or if it is an independent effect in electromagnetism.
  • Another participant argues that the Lorentz force cannot be derived from Maxwell's equations and should be considered an additional postulated equation, suggesting it defines the fields.
  • A different viewpoint suggests that the Lorentz force can be derived from basic principles concerning forces on relativistic particles, leading to a Lagrangian formulation where the force is mediated by a massless vector field, with certain approximations made.
  • One participant posits that the Lorentz force can be understood as the Coulomb force from the perspective of a moving frame.

Areas of Agreement / Disagreement

Participants express differing views on the derivation and interpretation of the Lorentz force, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

Some claims depend on specific interpretations of electromagnetic theory and the role of relativistic effects, which may not be universally accepted or resolved within the discussion.

Gavroy
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hi

i was wondering whether the lorentz force is just caused by the fact, that moving charges produce a magnetic field, just like every current does, and this magnetic field interacts with the magnetic field in the environment, that causes the force or whether the lorentz force has nothing to do with this and is a new effect in electromagnetism?

sorry about my english...
 
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I don't think that the Lorentz force can be derived from Maxwell's equations, but must be added as an extra postulated equation. Generally, I think of the Lorentz force equation as the definition of the fields.
 
The Lorentz force can be derived from rather weak principles about forces on relativistic particles. Among other possibilities, this leads to a Lagrangian, where the force is mediated by a (massless) vector field, and when you derive the equations of motion for the point particles and neglect the backreaction of the partilcles' radiation field on the particles, you arrive at the Lorentz force.
 
The Lorentz force, of course, is just the Coulomb force viewed in a moving frame.
 

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