Things just went from bad to worse for Diddy ... like "terrorist" worse ... 'cause the rap mogul is now being accused of making TERRORIST THREATS during the fight at UCLA.
We broke the story ... Diddy was arrested Monday after allegedly attacking UCLA football strength and conditioning coach Sal Alosi at the university athletic complex.
Diddy was initially held on suspicion of assault with a deadly weapon because witnesses say he swung a kettlebell at Alosi -- but later that night, officials tacked on more charges:
-- 3 counts of assault w/ deadly weapon-- 1 count of making terrorist threats-- 1 count of battery
It appears Diddy was allegedly screaming threats at Alosi -- and 5 or 6 people rushed in to break up the fight.
Diddy was eventually released on bail after posting $50k bond -- but this case is far from over.