Dimension W is set in a future where wireless energy is commonplace. However, the story follows Kyoma Mabuchi, a bounty hunter who despises the use of coils and relies on gas-powered vehicles. While on a mission, he uncovers a conspiracy involving illegal coils and gets involved with a mysterious girl named Mira Yurizaki, who possesses abilities related to the coils. Together, they must navigate a world of dangerous technology and uncover the truth behind the illegal coil trade.