- #31
FeynmanIsCool
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haha I was waiting for that!phinds said:
Faster velocity than the speed of light?
- Context: Graduate
- Thread starter sydfremmer
- Start date
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- Tags
- Light Speed Speed of light Velocity
Click For Summary
Discussion Overview
The discussion revolves around the concept of relative velocities in the context of special relativity, specifically addressing whether two particles moving away from each other can exceed the speed of light when observed from a stationary point. The scope includes theoretical considerations of relativistic velocity addition and the implications of different frames of reference.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- Some participants clarify that while two particles moving at 0.6c relative to a stationary point A appear to be 1.2 lightyears apart after one year, this does not imply they are moving faster than light relative to each other.
- Others argue that the perceived velocities of the particles must be calculated using the Lorentz transformation, which shows that no observer will measure any particle moving faster than the speed of light.
- A participant points out that the distance between the two particles can increase at a rate greater than the speed of light when viewed from a stationary frame, but this does not mean that either particle exceeds the speed of light in their own frames.
- Some participants emphasize the importance of defining a frame of reference when discussing speeds, noting that speed is a relative concept.
- There is a contention regarding the interpretation of distances and times as frame-dependent, with some asserting that the initial claims about distances are valid only in the frame where A is at rest.
- One participant expresses confusion about whether the distance between the particles can be said to grow faster than light, leading to further clarification that it can in the frame of reference of A, but this does not imply any object is traveling faster than light.
Areas of Agreement / Disagreement
Participants generally agree that no object can exceed the speed of light in any frame of reference. However, there is disagreement on the interpretation of how distances can increase relative to different frames, leading to ongoing debate about the implications of special relativity.
Contextual Notes
The discussion highlights the complexities of special relativity, including the relativity of simultaneity and the need for Lorentz transformations to accurately describe relative motion. Some assumptions about simultaneity and distance measurements remain unresolved.
Who May Find This Useful
This discussion may be useful for students and enthusiasts of physics and mathematics, particularly those interested in understanding the nuances of special relativity and the implications of relative motion.
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