Energy Acceleration: Electron Mass at C?

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The discussion centers on the behavior of electrons as they approach the speed of light (C) and the implications of relativistic mass. It establishes that electrons gain relativistic mass as they accelerate, which continues to increase with speed, even at sub-light velocities. When an electron decelerates, the loss of relativistic mass corresponds to a loss of energy, influenced by the external forces acting on it. The conversation highlights the distinction between invariant mass and relativistic mass, emphasizing that massive objects cannot reach the speed of light due to the requirement of infinite energy.

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If when you accelerate an electron to the speed of light, it will hit a speed limit of C. At C the electron will gain mass from all the energy that is still trying to accelerate it, right? Then my question is that what happens to the mass it gained while it was attempting to pass C? Does it just lose mass as a result of deaccelerating? Or is the electron actually heavier than before?
 
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There are many threads on this issue in the relativity forum. Here's an example:

https://www.physicsforums.com/showthread.php?t=99416"

Several things to quickly note:

1) There are at least two kinds of "mass" in relativity, invariant mass and relativistic mass. The latter increases with speed, the former doesn't.
2) The relativistic mass always increases with speed, even at small speeds. The object doesn't have to hit the speed limit for you to see that effect.
3) Massive objects can never actually reach the speed of light (it requires an infinite amount of energy), but they can get very, very close to it.
4) In most cases, if an object is decelerating, something is taking energy from it. A loss of relativistic mass is effectively a loss of energy. Energy can take many forms, so the answer to this question:

Then my question is that what happens to the mass it gained while it was attempting to pass C?

depends on what was causing it to decelerate.
 
Last edited by a moderator:
Energy conservation is still the rule. The energy required to accelerate a mass appears to accrue to that mass as measured by observers in different inertial reference frames.
 

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