the.com/rigid

So unbending it would rather snap than admit it was wrong.

means Stiff and inflexible, whether describing a physical object or a stubborn rule, mind, or system.

from From Latin rigidus, stiff, rooted in rigere, to be stiff with cold or fearthe body's freeze response, frozen into a word.

Physics termA rigid body cannot deform under any force.
Same rootRigor and rigor mortis share its frozen DNA.
Antonym envyEngineers prize flexibility; rigidity often precedes the crack.
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