This may be of interest to the scientific among us. Quite a lot of numbers and units I warn you in advance but well worth a listen if you are interested. The TLDR is to use laser technology that already more or less exists today to quickly accelerate various sizes of spacecraft from small to large to 1/3rd the light speed in 10 mins. Video presentation here: http://livestream.com/viewnow/niac2015seattle Paper here: http://www.deepspace.ucsb.edu/wp-content/uploads/2015/04/A-Roadmap-to-Interstellar-Flight-15-h.pdf One thing the presentation fails to answer is how on eart... er... how the heck you slow down again!? One could imagine in the case of interplanetary travel you could have something at the receiving end to slow things down... but then it begs the question of how easy it is to hit a moving target that is going at 1/3rd the speed of light.
Put yourself in to a slingshot, or circus cannon and you expect to slow down? Better wait for wormhole transporter technology to show up.
So lets assume that you somehow survive the smacking against a big red rock without an atmosphere. What in ducks name are you going to do there. I know creating air, water and food; or praying for it would be almost as high on your priority list as not freezing to death. And if you manage to have all of these in your space ship; it will be your coffin if you don't find a good way to make it to a less hostile physical environment. Also, how does living organic matter react to relativistic speeds anyway? first you have to speed up, then there is some question about time absurdities and things looking a lot flatter do to lorenz contractions; and then you need to slow down slowly again. Some smart geeks that love fiction invented warp space and jumping through space in there semi plausible works of fiction because they indeed knew that relativistic speeds are both slow and not life friendly. If you accelerate at 10G or 100 M/S you would have to acceleate for 3 millions seconds and afterwards you'll have to decelerate for 3 million seconds again to be able to travel at light speed (or 1/3 to achieve the proposed speed). For the proposed speed (1/3 C) this means 11 and a half days to accelerate and another 11 and a half days of deceleration. Now since the best flight pilots only can sustain such G-force for only a limited time; this does not bode well. now lets say that the maximum pressure a human person can sustain during a long time is about 2G; this would make traveling the speeding up process take about 2 months as does the speeding down process. This funnily also means that you can't travel a shorter distance than 2 light-months. Which sadly means that you'll overshoot Mars by a long shot. But you might pass by voyager and wave hi
Some good work on the maths there, I certainly wondered about how "slowly" you'd need to do it for a living thing in transit. Of course it is nice to immediate apply a "faster speed" solution to one of the "man on mars" issues which is of course that it takes a long time to get there but as you rightly point out, faster speed has issues for living things. Ultimately I don't think this is being put forward as a solution to manned space flight to mars or in fact anywhere. It is purely about getting things going faster so they can get there quicker. Being about to get something to the nearest star system without it taking generations is in itself enough of a reason to do it. Other benefits are faster travel around our own solar system. Still there are issues, one thing I don't know yet (but have not read the paper) is if this is a ground based laser or space based? If the latter, how the frick do you power the darn thing?