bilby
Fair dinkum thinkum
- Joined
- Mar 6, 2007
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- Strong Atheist
If you were traveling in the dark in your spaceship just shy the speed of light and cut your headlights on, you should be able to see, but my question is, if you were traveling at the speed of light and did the same, does light illuminate ahead?
If you cannot overlook the apparent impossibility of traveling near or at the speed of light, then let me ask this instead: if our planet within our solar system is orbiting the center of our galaxy at speed S, then is the speed of the particular light being shined from my super duper lantern essentially traveling at an increased speed of C minus S? I mean, if light can only go C and the first light wave automatically starts out traveling S, then it can't exceed the additional difference without it exceeding its maximum.
Light travels at c in a vacuum relative to an observer, regardless of how the observer is moving. What varies is how time passes for observers in different reference frames.
If I am drifting in space, watching you go past in your spaceship at 0.99c, then you turn on your headlights, from my perspective, the light comes from your lights at c, so it is only moving 0.01c faster than you are. But from your perspective on board the ship, it moves ahead of you at c, not 0.01c. The reason for our disagreement about how much faster than your ship the light propagates is that you and I don't agree on how long a second is. Your clock appears to me to be running very slowly, so I am unsurprised that you think the light is going away from you faster than I can see it is. Moving clocks run slowly, when measured in an inertial frame. http://math.ucr.edu/home/baez/physics/Relativity/SR/movingClocks.html
You can't travel at c, unless you have zero rest-mass. So the question regarding travel at exactly c is unanswerable; At that speed, your clock (as measured from my inertial frame) is stopped, and any speed calculation involves a division by zero. To a photon, everything happens at the same time, and the concept of speed (distance divided by time) is meaningless.
