Travel Near C: Electron Behavior and Lorentz Contraction

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Discussion Overview

The discussion revolves around the behavior of electrons and atomic structures when objects are moving at speeds close to the speed of light (c). It explores concepts such as Lorentz contraction, the speed of electrical signals in conductive materials, and the implications for atomic and molecular structures under relativistic conditions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant speculates about the behavior of a hydrogen atom's electron when the atom is moving near c, questioning how Lorentz contraction might affect the electron's orbit and the stability of the nucleus.
  • Another participant argues that in the reference frame of the atom, it does not experience stretching, suggesting that it remains stable regardless of its speed.
  • A different viewpoint emphasizes that velocity must be measured relative to a reference point, asserting that effects of relativity will not be observed in one's own frame of reference.
  • One participant poses a hypothetical scenario about the time it takes for electrons to travel through a wire moving at a speed close to that of the electrons, suggesting it would take one second.
  • Another participant challenges this assumption, explaining that the movement of electrons in a wire is complex and that they are bound to the atomic structure, thus moving at a velocity determined by Lorentz transformations.
  • A follow-up question seeks clarification on how slow "very slow" is in terms of electron movement in conductive materials.
  • A later reply provides a rough estimate of electron speeds in certain materials, suggesting they can be on the order of 1 mm/sec.

Areas of Agreement / Disagreement

Participants express differing views on the implications of relativistic speeds on atomic behavior and the nature of electron movement in conductive materials. There is no consensus on the effects of Lorentz contraction on atomic structures or the speed of electrical signals in wires.

Contextual Notes

Participants note that the behavior of electrons and atoms may depend on various factors, including the material properties and the specific conditions of the experiment, which remain unresolved in the discussion.

Who May Find This Useful

This discussion may be of interest to those studying relativistic physics, electrical engineering, or atomic and molecular physics, particularly in the context of high-speed motion and its effects on matter.

MrCaN
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Ok, so I'm sitting in class thinking, which is never a good idea, about objects moving near c. I think that if you have a wire moving near c and shoot an electrical signal down it, the signal is going to move faster than c, but then I remember Lorentz and that contraction will fix that, but then what if you hurdle a non-ionized hydrogen atom near c. What happens the the electron and or its orbit. You could use a Lorentz contraction to change the path length, but how far can you stretch a nucleus before it breaks down, or could you have the orbit simply run perpendicular to the nucleus direction, and if this is the case, what happens to atoms with more electrons, or molecules.
 
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Well, here are some things to think about.
In the frame of refference of the atom itself (or actually the center of mass of the object which this atom is made of, just to take the idea of temprature breaking atoms away), the atom is not streched at all, therefor it is not even on the limit of breaking :smile:

And, about the signal in the wire, I think the signal's speed is measured from the frame of refference in which it was made, not from the frame of refference of the conductor.
 
You must remember that velocity must be measured with respect to something. With that in mind let us measure the Earth's velocity with respect to the distant galaxys. In that frame of reference the Earth is moving at a significant fraction of c. Now do your experiments, what do you observe?

The point?

No matter what your velocity (that is, what point you choose to reference your moition to), you will not observe any effects of relativity in YOUR frame of reference. c will remain c, the velocity of the electrons in atomic shells or your TV will be the same.
 
ok so say the wire is traveling @ 1 m/s less than the electrons traveling through it and the wire is one meter long and has zero resistance.
How long will it take for the electrons in the wire to go form one end to the other?
Im guessing 1 second.

Answers on a post card. :smile:
 
The time required for a electron to move through a wire is not as easily determined as you would have it. In reality a single electon moves very slowly, the energy transfer due to an electric current is more vibrational then translational.

Further electrons are firmly bound to the atomic structure of the wire, so basically all electrons in a wire have the same velocity as wire. If a stationary observer were able to measure the velocity of an electron of a current carrying wire as it moved past the net velocity of the electron would be determined by the Lorentz transforms.
 
Originally posted by Integral
In reality a single electon moves very slowly,
How slow is very slow?
 
Depends on the material and conditions, but on the order of 1 mm/sec is common IIRC.
 

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