Emma Stone stars as Michelle Fuller, the CEO of a major pharmaceutical company, who gets kidnapped by two conspiracy theorists (Jesse Plemons and Aidan Delbis) who shave her head because they’re convinced she’s an alien intent on destroying Earth.

Emma Stone tells PEOPLE how she and director Yorgos Lanthimos got Jennifer Aniston's permission to use her likeness for a scene in their new movie, 'Bugonia,' in theaters now.

Emma Stone, Jesse Plemons, and Aidan Delbis star in the latest from director Yorgos Lanthimos.

Emma Stone shaved her head for Bugonia — would you? A recent publicity stunt offered free tickets to moviegoers willing to shave it all off in the lobby of a Culver City, Calif., theater.

Lanthimos' dark comedy about a conspiracy theorist who kidnaps a high-powered CEO comes with its fair share of twists and turns. Its ending in particular seems designed to shock, although Lanthimos and screenwriter Will Tracy do plant their fair share of hints at what's coming. Let's break it down.

Writer Demi Adejuyigbe was among the first to go to social media to reveal that what started as an all-bald screening quickly pivoted. “Friend’s boyfriend is at the all-bald screening of BUGONIA and apparently shaving heads took too long so they’re passing out bald caps. Imagine being the last one who had to shave,” Adejuyigbe posted.

I found “Bugonia,” a chamber-piece gut punch, hard to shake. For starters, it’s difficult to resist any movie with a line in it like: “There’s Andromedan code all over your Instagram.”