This page contains information regarding Star Trek: Lower Decks, and thus may contain spoilers.
Levitation boots or hover boots were a type of boot used by Starfleet personnel to propel an individual to heights that the user would normally have to reach by climbing or using other equipment. One pair of levitation boots was designed to levitate only the weight of approximately three Humans of average size. The boots were equipped with booster rockets in the heel of the boot. The booster rockets allowed a heavier weight to be carried, and also a more rapid ascent or descent. The boots also allowed the user to hover in the air in angles other than the upright position.
In 2381, when Brad Boimler joined Dr. T'Ana and D'Vana Tendi in T'Ana's holodeck rock climbing holodeck program, he wore hover boots. They malfunctioned, causing him to fall from a great (virtual) height. (LD: "wej Duj")