If enough people begin to distrust the authority or discredit its legitimacy,they will begin to defy it and thereby undermine its potential as a source of power.

Authority

The authority or control given to a person or body to make choices, issue commands, and ensure compliance.

Legitimacy

The quality of being justified, acceptable, or in accordance with recognized principles or standards.

Discredit

To harm the reputation or credibility of someone or something, often by providing evidence of wrongdoing.