General special relativity question

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SUMMARY

The discussion clarifies a common misconception regarding special relativity, specifically that it cannot handle acceleration. In fact, special relativity can accommodate accelerating particles, provided that gravity is not present. The distinction between special and general relativity lies in the presence of gravitational forces, as general relativity addresses the curvature of space-time caused by gravity. Special relativity operates under the condition of at least one inertial reference frame, allowing for the analysis of acceleration in non-gravitational contexts.

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  • Understanding of special relativity principles
  • Familiarity with general relativity concepts
  • Knowledge of inertial and non-inertial reference frames
  • Basic grasp of Minkowski space-time
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  • Study the implications of acceleration in special relativity
  • Explore the concept of inertial frames in detail
  • Investigate the differences between special and general relativity
  • Learn about the mathematical framework of Minkowski space-time
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Students of physics, educators teaching relativity, and anyone interested in the nuances of special and general relativity will benefit from this discussion.

channel1
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I'm reading in my textbook (and have a homework problem on) special relativity dealing with an accelerating particle. I thought special relativity dealt with non accelerating situations only though? Isn't that the distinction between special relativity and general relativity? I'm clearly missing something here lol :smile:
 
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Special relativity deals with situations where gravitation isn't present. There's nothing wrong with acceleration due to forces other than gravity.
 
channel1 said:
I'm reading in my textbook (and have a homework problem on) special relativity dealing with an accelerating particle. I thought special relativity dealt with non accelerating situations only though? Isn't that the distinction between special relativity and general relativity? I'm clearly missing something here lol :smile:
The idea that special relativity doesn't deal with acceleration is a popular myth. And that myth is false. Special relativity can handle acceleration and can handle it quite well.

As D H says though, special relativity only applies when gravity is not present. That's because gravity curves space-time. Special relativity only works when there is the possibility of flat* space-time called Minkowski space-time.

*Even in special relativity, space-time can be curved in an accelerating reference frame. For that reason, special relativity typically has the following requirement to stay consistent: at least one reference frame must be an inertial frame (and that frame is typically used to keep track of the [inertial] velocities of things). As long as that is met, other frames can accelerate around all they like.
 
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