To pretend to have a particular feeling, problem, etc. (Cambridge Dictionary)
To give a false appearance of : induce as a false impression. (Merriam – Webster)
If someone feigns a particular feeling, attitude, or physical condition, they try to make other people think that they have it or are experiencing it, although this is not true. (Collins Dictionary)
Pretend to be affected by (a feeling, state, or injury). (Oxford Dictionaries)
Does Newton feign an hypothesis?
Slang words for to pretend, feign, pose | Urban Thesaurus.