Authority
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
Authority is power that people accept as legitimate, obeyed because it is seen as rightful rather than merely imposed.
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A driver pulls over for a police officer's lights but would refuse an order unrelated to the officer's role.
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Authority is a claim people happen to accept, not a property automatically attached to any office or title.