For Mac users: OS X 10.8.2 (Mountain Lion)
This is a fix for those who had TechnicPack installed already
Do not downgrade to Java 6. All you have to do is tell the Technic launcher to use a different location for loading Java. (I don't know how best to explain that)
First download my two files which are
-snip-
You should be past the permission error now and can run TechnicLauncher.command through Terminal.
If this doesn't work for you, please send me a message through the forums. (I don't check back on forum posts often)