No, no evidence at all.
While physicists have developed intricate math that predicts the existence of extra dimensions, that doesn’t equate to empirical proof. After all, Pythagoras had formulas describing the harmony of the universe, but that didn’t make them true. He even had models where the Earth orbited around a “central fire” (not the Sun either), and we know how that turned out. Math is a tool, not a substitute for observation.
So, what does it mean when astrophysicists talk about other dimensions?
They’re exploring speculative ideas, guesses. When people discuss string theory, they’re examining the possibility that it might be true, not stating a fact. String theory is a hypothetical framework, a “what if” scenario that attempts to unify the fundamental forces of nature. In a logical setting, speculative theories like string theory are irrationally false — but in the scientific process, they’re essential for advancing our understanding of the universe.
Speculative theories, even in science, are irrationally false in a logical setting. But creative guessing drives all knowledge, including the empirical.