A few weeks ago I was thinking about the idea when I decided to calculate how much money would be needed to make such huge endeavor work.
For the purpose of that conjecture, here is the full scenario:
>Ship will carry 25000 people in cryogenic sleep (Heart beats 3 times a minute, lungs breath in once)
>ship will also carry seed banks, soil samples and embryos of dozens of animals for future use (Chickens, cows, pigs, etc)
>Speed will be about 0.2c to 0.25c
>the colonization target as a planet with an atmosphere roughly equal to that of earth, 1~g and almost sterile landmasses (Only marine life generating the oxygen and some moss/algae in the shores) located about 15 light years away.
For starters, cryogenic tech is not nearly on the level needed to meet my specifications, so that is a huge check for the R&D department. They will also need to develop the drive (Although the theory for a drive capable of such speeds exists it need to be tested and perfected.
Another thing that I needed to take into account was how to protect the ship from interstellar dust and shit. Crashing into a grain of sand at 0.25c is no joke. For the very small particles a magnetic field of about thrice the size of the craft could work as sort of bulbous bow, moving them away before the craft gets near. For anything bigger I decided to take a page from an old discovery channel documentary about possibilities of alien life and simply add a shield in front of the craft made of something lightweight but sturdy (probably the same thing as the space elevator cable but made ridge with some structural pylons behind it.
>to be continued