It is beta software after all ....
Seriously:
Try opening it from a terminal if you haven't already and see what if any output shows up.
google-chrome
If nothing shows, then see if you can disable your extensions and try again.
google-chrome --incognito
Also run
google-chrome --help
and I believe it will provide you with the location of your config file(s), which, if all else fails, try renaming when chrome is shut down and then restart with a fresh config.