Well heres all I can suggest.
Make sure you delete the cache (theres a small tut on the official v3.1 update thread thing :p )
Make sure you have updated your java version to the latest for your computer (32 bit or 64 bit.)
Try rebooting your computer.
Try reinstalling java and verifying it
After all that re download the client from here - http://www.destinypkv3new.tk
Then run in success hopefully.
There is nothing else I can do since it seems to be your computer
Closed.
- Mikey