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theorize about (someone or something)
To speculate, conjecture, or make guesses about someone or something. Everyone has been theorizing about what the company's next product might be. If I'm going into business with someone, I don't want to have to speculate about them, their past, or their motivations—I want concrete facts.
See also: theorize
theorize on (something)
To speculate, conjecture, or form a hypothesis about something, especially in manner that is abstract or without supporting evidence. These analysts who spend so much time theorizing on the effects of these economic changes will have on the working class have no idea what it's like to actually live through them. We've theorized on several different methods of enhancing cellular regeneration, but it will be many years before technology will prove whether or not they could be viable.