Etymology
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warp (v.)

"to bend, twist, distort," Old English weorpan "to throw, throw away, hit with a missile," from Proto-Germanic *werpanan "to fling by turning the arm" (source also of Old Saxon werpan, Old Norse verpa "to throw," Swedish värpa "to lay eggs," Old Frisian werpa, Middle Low German and Dutch werpen, German werfen, Gothic wairpan "to throw"), from PIE *werp- "to turn, wind, bend" (source also of Latin verber "whip, rod"), from root *wer- (2) "to turn, bend."

Connection between "turning" and "throwing" is perhaps in the notion of rotating the arm in the act of throwing; compare Old Church Slavonic vrešti "to throw," from the same PIE root. The meaning "twist out of shape" is first recorded c. 1400; intransitive sense is from mid-15c. Related: Warped; warping.

warp (n.)

"threads running lengthwise in a fabric," Old English wearp, from Proto-Germanic *warpo- (source also of Middle Low German warp, Old High German warf "warp," Old Norse varp "cast of a net"), from PIE *werp- "to turn, bend" (see warp (v.)). The warp of fabric is that across which the woof is "thrown." Applied by 1947 in astrophysics to the "bending" of space-time, and popularized in noun phrase warp speed (for faster-than-light travel) by the 1960s U.S. TV series "Star Trek."

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Definitions of warp
1
warp (n.)
a twist or aberration; especially a perverse or abnormal way of judging or acting;
Synonyms: deflection
warp (n.)
a shape distorted by twisting or folding;
Synonyms: buckle
warp (n.)
a moral or mental distortion;
Synonyms: warping
warp (n.)
yarn arranged lengthways on a loom and crossed by the woof;
2
warp (v.)
make false by mutilation or addition; as of a message or story;
Synonyms: falsify / distort / garble
warp (v.)
bend out of shape, as under pressure or from heat;
Synonyms: heave / buckle
From wordnet.princeton.edu