Hi Houston,
You said:
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If your finger at one end of paper and the candle at the other end of the paper are not moving relative to each other then the frequency of the light observed at your finger is exactly the same as that at the origin (the candle).
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Because within the spacecraft all objects would not be moving relative to each other, thus appearing stationary, then the light waves from the candle would not be distorted, and I would have normal sight within the spacecraft itself, even though the spacecraft were moving at C relative to the emptiness of space, and for all intent and purposes moving at near C relative to other object, planet, etc, in space.
If the spacecraft were moving away from an object at C or greater, the light emitted by the object would be outrun by the spacecraft and the wave would appear as a straight horizontal line. This would make the observed object invisible to the observer in the spacecraft.
Two objects moving towards each other with a combined speed of C or greater would result in waves so short as to become a straight verticle line and would also result in making the object invisible to the observer. Is this correct?
I have hear about the red and blue light waves that allow us to know whether distance stars are moving towards earth or away from earth.
Regards,