Probably not but anyway.
The C-ship Muppet leaves the planet Pigeon and heads away from it at speeds approaching c. The observation post on Pigeon shows that time has dilated and everything on Muppet is running slow. But, relative to Muppet, Pigeon is moving away at near c. Doesn't this mean that Muppet observes slowing on Pigeon as well. How can it be both ways?
More importantly, what would happen if Muppet were to slow, turn around, and return to Pigeon at near c. Would the same dilation effect be observed, albeit a bit bluer?
This Twins Paradox that Stephen Hawking loves so much, why would one twin be older? If one twin goes away near c, turns around and returns near c and as a result of dilation has taken years to do a short journey, wouldn't it be that the twin left at home has, relative to the other one, done the same thing?