So i almost gave up with solving some strange Software Crashes
Spotlight wasn’t active. There was even no Spotlight icon.
Safari Crashes when i type the second word into a google search field.
After a while i browsed through my folder-tree and so i detected, that the tmp folder.
I remember that i set /tmp to be excluded during TM-Backups so save so Disk Space.
So after i restored this folder with
sudo ln -s /private/tmp /tmp
sudo chmod 1777 /tmp
everything works fine again. IMHO it is a bug in the TM-System-Restore Workflow.