Equivalence principle to other forces?

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Discussion Overview

The discussion revolves around the application of the equivalence principle in general relativity, specifically why it is applied to gravity rather than electromagnetism. Participants explore the foundational concepts and implications of the equivalence principle in different contexts, including forces and reference frames.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question why the equivalence principle is applied to gravity but not to electromagnetism, suggesting that the principle would be false if applied to electromagnetism.
  • Others argue that electromagnetism is a force and that acceleration exhibits a force, implying that there may not be a significant difference in applying the equivalence principle to both forces.
  • One participant highlights that gravitational mass and inertial mass are equivalent, prompting a discussion about what equivalent statements could be made regarding other forces.
  • Another participant emphasizes that the equivalence principle is about the equivalence of reference frames, noting that local experiments can detect electromagnetic fields, which makes the principle inapplicable to electromagnetism.
  • It is mentioned that in Newtonian terms, the acceleration due to gravity does not depend on mass, while acceleration due to electromagnetism does depend on the charge-to-mass ratio of a particle.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the equivalence principle to electromagnetism, with some asserting that it cannot be applied while others suggest it might be relevant. The discussion remains unresolved regarding the equivalence of forces and the foundational concepts of the equivalence principle.

Contextual Notes

Participants reference the nature of forces and reference frames, indicating a need for clarity on definitions and the implications of the equivalence principle in different contexts. There are unresolved aspects regarding how different forces might relate to the equivalence principle.

Gerenuk
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Why is it that to derive general relativity you use the equivalence principle on gravity and not electromagnetism for example?
 
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Gerenuk said:
Why is it that to derive general relativity you use the equivalence principle on gravity and not electromagnetism for example?
Because the equivalence principle would be obviously false if applied to electromagnetism instead of gravity.
 
That's a "Becauso so." answer :smile:

Electromagnetism is a force and acceleration exhibits a force. So at least from the basic ideas that I heard it doesn't make a difference.
 
Gravitational mass and inertial mass are the same.

What equivalent statement could you possibly make about any of the other forces?
 
I see. I was thinking about the force argument only. I have the feeling that's a good answer.

And I cannot apply the same concept to electric charge? (converting the units appropriately)
 
Gerenuk said:
That's a "Becauso so." answer :smile:

Electromagnetism is a force and acceleration exhibits a force. So at least from the basic ideas that I heard it doesn't make a difference.
I don't know what a "Becauso so." answer is, but the "force" of electromagnetism isn't equivalent to a pseudoforce in accelerated reference frames the way gravitational "force" is.

The "basic idea" of the equivalence principle isn't about forces being equivalent, they generally aren't. It's about the equivalence of reference frames. Two accelerated reference frames are equivalent if the only difference between them is the presence of a gravitational field. No local experiment can even detect the presence of the gravitational field. In both cases a ball thrown "up" will "fall", for example. The ball "falls" because of the acceleration of the reference frame, not because of a real force.

An electromagnetic field can easily be detected by local experiments, so the equivalence principle is not valid for electromagnetism.
 
Gerenuk said:
Why is it that to derive general relativity you use the equivalence principle on gravity and not electromagnetism for example?
I think you've more or less worked this out now. In Newtonian terminology, the "acceleration due to gravity" of a particle does not depend on the particle's mass (or any other property of the particle). The "acceleration due to electromagnetism" depends on the particle's charge-to-mass ratio.
 

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