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I have so far only one qualitative comment - the one regarding Rick's_______________________________________________
statement that the oncoming light is blue-shifted. This does not
necessarily mean, however, that the stars in front view will "go out",
because ALL frequencies undergo this shift, so as the stellar visible
spectrum (in the galactic rest frame) will shift into UV (in the frame
of the spaceship), by the same token some of the stellar IR-radiation
will be blue-shifted into the visible. Even if the ship's velocity
approaches c, there will always be a region of the stellar spectrum
(first IR, then radio) blue-shifted into the visible. One could say
that the stars in front will become invisible anyway due to the drop
in the intensity of the IR and especially radio-frequency of the
black-body spectrum; however, together with the blue-shift, the Lorentz
boost will increase the intensity of the oncoming light in the ship's
rest frame.
Which one out of these two opposing effects is stronger, I cannot say
right now. It needs some quantitative estimation.
Moses Fayngold,
NJIT