Watch out, world. Toyota is heading back to the future.

The automaker has hinted it's looking into flying cars. Now its Lexus luxury brand has actually built a working model of a "hoverboard." That's right, an actual working hoverboard. It's real, but not for sale. Yet.

The board uses liquid nitrogen-cooled superconductors and magnets, according to the Lexus website. That technology is already zooming around Japan.

Toyota tipped its hand a year ago when it said it was experimenting with this for cars.

"It's very confidential information but we have been studying the flying car in our most advanced R&D area," Hiroyoshi Yoshiki, a managing officer in Toyota's Technical Administration Group, said last June at the Bloomberg Next Big Thing Summit in Sausalito, California. "Flying car means the car is just a little bit away from the road, so it doesn't have any friction or resistance from the road."

It's been 30 years since the first Back to the Future movie was released, and Marty McFly only hopped on a hoverboard to evade his pursuers in the second installment released in 1989. Lexus plans to start testing the prototype in Barcelona this summer, and is looking forward to a special date coming up that ties in with the films.

Lexus says it will disclose more information further down the road—specifically on Oct. 21, the day Doc, Marty and his girlfriend Jennifer went back to the future.

But really, roads? Where they're going, they won't need roads.