Manga by author Tsubana

Takagi and Kanemura are two normal high school students in a near-future Japan where many things we'd find unusual are taken in stride. Technology has evolved to the point where items like face-blurring necklaces, sleep-control devices, and Willy Wonka-ish, meal-flavored gum are common fads. New services also dot the landscape, such as businesses that can help you reclaim memories and places that can upload dead people to the internet to continue living their lives in virtual reality. The two girls treat encounters with androids, strange monsters, and aliens as somewhat normal occurrences. Dainana Joshikai Houkou is a fantastical slice of futuristic life that proves that, while society can change, people tend to stay the same.

The protagonist is a girl with the ability to visit a surreal alternate dimension full of monsters in her dreams. One day, she encounters another human girl there and receives a plea for help.