This is all true, even though we are "at rest" in our own
frame...
We would get burnt by the background radiation. If we could
withstand the heat, we would be slowed down by the pressure...
An object in motion tends to stop.
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Before you buy.
Not if you remove the radiation field A photon carries momentum which is
conveyed to the target when absorbed. In your example, the nett effect is
to slow down the moving object.
Franz Heyman