At the beginning of the play, Lear is an authority figure, embodying order in his own person and commanding it from his family and followers. (This is how he is able to compel his elder two daughters to participate in the dramatic ceremony dividing the kingdom by professing their absolute love on cue, precisely when he demands it; this is why Gloucester, Kent, and others respectfully watch the ceremony unfold, despite thinking that Lear's plan to give up power is a bad idea.) Just as the father-child bonds discussed above encompass both a private and a public dimension, authority and order in this play exist at both the level of the family and the level of the nation.
Throughout the tragedy, Lear and other characters also repeatedly invoke the ideas of natural and divine order. Lear appeals to the idea of divine justice when his children treat him unjustly (e.g. after his final quarrel with Goneril and Regan: "O heavens,/ If you do love old men […] Send down and take my part" [2.4.218-221]). Gloucester similarly calls out to the gods after he has been betrayed and blinded in 3.7. Meanwhile, nature in the play seems to mirror the political chaos of the play, particularly in the form of the brutal storm that rages even as Lear himself, the former embodiment of order in the kingdom, rages in his own madness.
Authority and Order ThemeTracker
Authority and Order Quotes in King Lear
And can make vile things precious."
That bide the pelting of this pitiless storm,
How shall your houseless heads and unfed sides,
Your looped and windowed raggedness defend you
From seasons such as these? O I have taken
Too little care of this."
So long as we can say 'This is the worst.'"