Length Contraction of Electrons

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Discussion Overview

The discussion revolves around the concept of length contraction as it pertains to electrons moving through a still wire, particularly from the perspective of an observer at rest relative to the wire. Participants explore the implications of special relativity on the spacing between electrons and the nature of their interactions.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that special relativity causes the electrons to contract, which would lead to them coming closer together.
  • Others argue that electrons are point particles with zero length, suggesting that there is nothing to contract, and that the observer's motion relative to the wire is what causes the perceived contraction of the distance between electrons.
  • It is noted that while the electric fields of the electrons contract, this contraction does not negate their mutual repulsion, which remains effective even if the fields are contracted.
  • A later reply questions whether the contraction of repulsive forces allows electrons to come closer together in the observer's frame compared to their own frame.
  • Participants mention the drift velocity of electrons in a wire, which is typically on the order of millimeters per second, and discuss its implications for relativistic effects and magnetic phenomena.

Areas of Agreement / Disagreement

Participants express differing views on the nature of length contraction and its effects on electron spacing and interactions. No consensus is reached regarding the implications of these relativistic effects.

Contextual Notes

Some claims depend on the definitions of length contraction and the nature of electric fields around electrons. The discussion includes unresolved assumptions about the effects of relativistic speeds on electron interactions.

Who May Find This Useful

This discussion may be of interest to those studying special relativity, electromagnetism, or the behavior of charged particles in conductive materials.

member 529879
If you have a still wire with electrons moving through it, to an outside observer at rest relative to the wire, would the space between the electrons contract? I would think that special relativity causes the electrons to contract, (not the space between them) but the contracting of the electrons would cause the electrons to come closer together.
 
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Electrons are point particles whose length is zero, so there's nothing to contract. The way to get the electrons to move closer together is for you, the observer, to be in motion relative to the wire; that will contract the length between them.
 
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Nugatory said:
Electrons are point particles whose length is zero, so there's nothing to contract.
They have electric fields, which are contracted when the electron moves.
Nugatory said:
The way to get the electrons to move closer together is for you, the observer, to be in motion relative to the wire; that will contract the length between them.
Which would increase their mutual repulsion, if the electrons (their E-fields) weren't contracted as well.
 
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Exactly, and if the repulsions between the electrons contract, wouldn't that allow them to become closer together?
 
Electron drift velocity (q.v.) in wire is on the order of millimeters per second.
 
Scheuerf said:
Exactly, and if the repulsions between the electrons contract, wouldn't that allow them to become closer together?
It allows them to be closer together in the observers frame than in the electrons frame, while the repulsive force is the same.

Scheuerf said:
the contracting of the electrons would cause the electrons to come closer together.
That's a misleading way to put it. Contracted repulsive fields are still repulsive, and don't bring anything together.
 
Doug Huffman said:
Electron drift velocity (q.v.) in wire is on the order of millimeters per second.

That is true, which makes it all the more remarkable that the effects of the tiny relativistic length contraction of the distance between them is sufficient to explain the appearance of magnetic effects. See, for example, http://physics.weber.edu/schroeder/mrr/MRRhandout.pdf
 

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