The mind machine converts past memories to projected images, and the story’s tagline suggests that it can also see the future, but that is just misdirection. No actual time travel, no reading the future.

A somewhat mad scientist tricks Hal Norton into traveling to ancient Babylon to record ancient animal sounds (I think), but the scientist never told Norton that the kinks in the return mechanism were still being worked out. Trapped in ancient times, Hal meets the also-trapped (and beautiful) niece of the scientist, and together they endure life as slaves while plotting a possible escape.