I am under the impression that from the perspective of earth and the distant planet it will take 100 years but for our intrepid traveller he will arrive at the distant planet instantly, assuming he has jumped on a light beam and there is 0 time getting to the speed of light.
I think you are under the impression that light gets from one place to the other instantaneously.
That is how it appears to us here on earth, and as far as we are concerned for everyday thinking it is instantaneous.
However it does take time to get from one place to another. For example, it would take light 3 seconds to go around the earth.
Now, imagine the train, the Flying Scotsman, famous for traveling at 100 miles an hour (mph). This means in one hour it would be 100 miles away.
Now light travels at 670,616,629 miles per hour (mph) so in one hour it would be 670,616,629 miles away.
Now imagine writing this number down for how far light travel in a day, a week, a month, a year the numbers would be large, not a practical way of referring to lightspeed.
This impracticality of the large figures has led to the convention of referring to lightspeed as how far it travels in one year in miles this would be:- 5,878,499,817 and Convention dictates you refer to this as one light year.
As you can see it would take you 1 year to travel this distance and if the distance was 100 light years then it would take you 100 years to travel that distance.
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