Please, can someone tell me if it's schizophrenia?
Here's some points about my dad:
-has no real friends...All our family friends are met though my mom
-is convinced that my mom is lying and cheating on him with all their male friends
-talks to himself in whisper, he says things like "promiscuous person" "b*tch" etc
-his brother and mother are both schizophrenic
-enjoys reading about hitler, but denies it (he says he just enjoys world history but has a huge collection of ww2 books)
-is extremely smart (he's into mathematics) and logical
-analyzes every word you say
-has a really bad temper
-is very paranoid (about the smallest dumbest things!)
-often sits alone in his room writing things in his agenda and planning his life
-hates women, jews, blacks and other races (does not openly admit to it)
-likes to be alone
-is extremely terrified of physical pain of any kind (constantly measures his heart pulse and is deathly afraid of electrical shocks)
there's no signs of hallucinations yet but according to my dad, "a close friend of ours asked my mom for an affair and she said no". This never happened!! He continually asks my mom when this guy asked her this but it never happened so my mom says never and it's making him more angry and paranoid. He now believes that all their friends know something about this and are all denying it!
Please help
my parents are going to get a divorce if my dad won't stop this.