Millenium falcon firing a laser

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Discussion Overview

The discussion revolves around the scenario of firing a laser from the Millennium Falcon while traveling at the speed of light. Participants explore the implications of special relativity on the behavior of light and velocity addition in this context, examining both theoretical and conceptual aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether a laser fired from the Millennium Falcon at the speed of light would go anywhere, drawing an analogy to a truck moving at 50 m/s throwing a ball at 20 m/s, suggesting that the same logic may not apply at relativistic speeds.
  • Another participant cites the two postulates of special relativity, asserting that the speed of light remains constant in all inertial frames, and therefore, a laser fired from a moving spacecraft travels away at the speed of light regardless of the spacecraft's speed.
  • A further reply elaborates on the relativistic velocity addition formula, indicating that while the naive addition of velocities works at low speeds, special relativity provides a different calculation that maintains the speed of light as constant.
  • One participant humorously asserts that the laser must go somewhere, referencing the cultural impact of the Millennium Falcon and the expectations of movie audiences regarding visual effects.

Areas of Agreement / Disagreement

Participants express differing views on the implications of firing a laser at relativistic speeds, with some supporting the notion that the laser travels at the speed of light and others questioning the scenario's validity based on the principles of special relativity. No consensus is reached.

Contextual Notes

The discussion includes assumptions about the speed of the Millennium Falcon and the nature of light, as well as the application of special relativity to hypothetical scenarios. There are unresolved questions regarding the interpretation of these principles in extreme conditions.

nick227
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you are on the millenium falcon, going at the speed of light, and you fire a laser. does the laser go anywhere?

if you were on a truck moving at 50m/s and threw a ball forward at 20m/s, then the ball would go at 70m/s. not the same when dealing with c, right?

so then how can the laser go anywhere?
 
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Special Relativity has two postulates:

1. The laws of physics are the same in all inertial frames of reference.
2. The speed of light is constant in all inertial frames of reference.

That means, if you are in a truck moving at 50m/s and throw a ball forward at 20m/s, the resulting speed of the ball is not 70 m/s and when a spacecraft fires a laser, it travels away from the spacecraft at the speed of light, regardless of the speed of the spacecraft . If you are moving much slower than the speed of light, these effects are not noticeable, but they are still there.
 
nick227 said:
you are on the millenium falcon, going at the speed of light, and you fire a laser. does the laser go anywhere?

if you were on a truck moving at 50m/s and threw a ball forward at 20m/s, then the ball would go at 70m/s. not the same when dealing with c, right?

so then how can the laser go anywhere?

u=50, v=20. The ball's velocity relative to the ground: u+v=70.

One thing that special relativity tells us is that this way of adding velocities is only approximately correct. This is the right way to do it, according to SR:

[tex]\frac{u+v}{1+uv/c^2}[/tex]

When the velocities are small compared to the speed of light, the naive way to add velocities works extremely well, as you can verify yourself.

Millennium Falcon: u=0.99c (relative to "planet X")
Laser: v=c (relative to the MF)

The laser beam's speed relative to planet X:

[tex]\frac{u+v}{1+uv/c^2}=\frac{0.99c+1c}{1+0.99\cdot 1}=c[/tex]
 
nick227 said:
you are on the millenium falcon, going at the speed of light, and you fire a laser. does the laser go anywhere?
Of course it does! Otherwise the reviews of the movie would be terrible. And besides, who would pay George Lucas to make special effects that can't be seen.
 

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