Let's say an astronaut with a terminal illness that gives them one year to live on Earth travels to a star one lightyear away, travelling at almost the speed of light. Suppose they perceive that the trip takes them 55 days or so, due to time dilation. Will they still be alive when they reach their destination? What will their health look like to observers on Earth?
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The astronaut will see the distance to the star as Lorentz contracted. The trip therefore takes $55$ days or so.
An observer on the star will see the distance as $1$ light year. He sees the astronaut's clock running slowly. He sees $55$ days pass on the astronaut's clock during the trip.
Both the astronaut and the observer agree that the astronaut survives the trip.
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