Apologies for the ambiguity. I imagine that my future AI-based "second brain" will be derived from my own brain, including its personality, memories, and preferences. Anyone in an adversarial position to me would be very interested in talking to it. I pose whether the term "self-incrimination" should include one's second brain as part of one's self. The question was not whether police would put a PC in jail.
With limitations. I cannot be compelled to testify against my wife (and probably not against my kids, though I’m unsure of that [edit: that seems to vary by state currently]), even if I personally am granted immunity.