We tend to dream about what we feel the most. False in a dream signifies a sense of being deceived, tricked or overwhelmed by someone or something.
A common example is dreaming about being false in a dream when you’re unhappy with the reality. You dream falsely about winning an award for your work at work, but when you wake up you’re made aware of some negative feedback from your boss about the project.
Some people also associate false dreams with their lack of control over events in their waking lives, feeling like they’ve been pushed around and are just going through the motions as opposed to making any positive change.