Challenging the Speed of Light: The Curious Case of Opposing Photons

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Discussion Overview

The discussion revolves around the implications of the speed of light in the context of photons emitted from a light bulb and the relative velocities of objects moving at or near the speed of light. Participants explore the nuances of relativity, particularly how velocities are perceived in different reference frames and the mathematical formulations that govern these perceptions.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that photons emitted in opposite directions appear to travel at twice the speed of light relative to each other, raising questions about the implications of this observation.
  • Others clarify that while individual photons cannot exceed the speed of light, the rate at which the distance between them increases can be perceived as faster than light, depending on the reference frame.
  • A participant proposes a hypothetical scenario involving two objects traveling at 7c/8 in opposite directions, questioning how their relative speeds would be perceived.
  • Another participant explains that the relativistic velocity addition formula must be used to determine the relative speed of objects moving close to the speed of light, which differs from classical mechanics.
  • Some participants challenge the idea that speeds can simply be added together in relativity, emphasizing the need for proper mathematical treatment of velocities in different frames.
  • There is a discussion about the concept of separation velocity versus the velocity of an object as measured by a specific observer, highlighting the complexities of relativistic physics.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of relative speeds in the context of relativity. While some agree on the limitations imposed by relativity, others challenge the initial assumptions about speed and velocity addition, indicating that the discussion remains unresolved.

Contextual Notes

Participants note that the discussion involves complex mathematical formulations and assumptions about reference frames, which may not be fully addressed or agreed upon. The implications of these assumptions on the understanding of speed and velocity in relativity are also acknowledged as a point of contention.

  • #31
travelling at 2C

To imagine what it would be like to see an object traveling at 2C. Then thinK how a fighter pilot traveling at Mach 2 would hear another fighter plane traveling in the opp direction (but at a far distance) at Mach 2. The sound (waves) would be the same, but he would hear them later relative to his position or his vision of the other airplane.
Apply this to traveling faster than the speed of light. Just a dellay, nothing more to it!
 
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  • #32
tradexy said:
To imagine what it would be like to see an object traveling at 2C. Then thinK how a fighter pilot traveling at Mach 2 would hear another fighter plane traveling in the opp direction (but at a far distance) at Mach 2. The sound (waves) would be the same, but he would hear them later relative to his position or his vision of the other airplane.
Apply this to traveling faster than the speed of light. Just a dellay, nothing more to it!

This reminds me of an old saying - to every complex problem, there is an answer that's simple, obvious, and wrong.

It is, in fact, easy to imagine the universe working in the way described above. But although we can imagine it, it's not the way the actual universe works. If we imagined that we changed reference frames via the Gallilean transforms, velocities would add linearly. But it turns out the way the actual universe works is that we must change reference frames via the Lorentz transforms, not the Gallilean transorms - and as a consequence, velocities do not add in a simple linear manner, and there is a universal speed limit, the speed of light.

We realized that there was a problem with physics when experimental results for the measured speed of light gave unexpected results. There were many experiments which showed the problem, one of the most famous and influential was the Michelson-Morley experiment. Einstein showed us the solution, that the way to resolve these problems was to replace the Gallilean transform with the Lorentz transform.
 
  • #33
pervect said:
This reminds me of an old saying - to every complex problem, there is an answer that's simple, obvious, and wrong.

I haven't heard that one before. I'll remember it for sure, considering how true it is.

There may be a corollary to that. Whenever you think you have a simple and obvious answer to a complex problem it's probably wrong. At least that's my impression based on personal experience.:frown:
 

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