so, if you want true gnu/linux on your android phone, than this is for you:
http://forum.xda-developers.com/show....php?t=1617684
im running it myself on my motorola atrix 4g. It runs the gentoo OS natively (you can ssh onto it from your android os, or if you put it into HDMI you get native X with hw acceleration on your tv/monitor, together with a bt mouse and kb you have a so to say fully functional linux computer - rather slow, but it has all). Sadly enough, this is for now the only phone that has this working fully (there are ports for the motorola razr, using the webtop than chrooting into gentoo, but thats just not it). So if you have great knowledge of linux, study how this is made on the atrix and try porting it to the one X/galaxy s3 , which have was superior SoCs as compared to the atrixs tegra2. There is one more thing by canonical called ubuntu on android, which runs it natively too, but sadly they are keeping it closed source...