To build a new theory, one must first ensure that it explains the facts known at the present time (as described by the old theory), and also explains the facts that are known but lie beyond the scope of the existing theory.
Special and General Relativity may explain many things, but they also prohibit traveling faster than light. What if they are not correct, but simply mathematically explain "observed phenomena"?
Added 2 minutes later
Just theories, but no practice.
But this is advice of the same level as 2500 years ago, suggesting flying a quarter of the Earth's meridian to verify, for example, the theory of the "Central Fire."...
Ничто не возникает из ничего и ничто не пропадает бесследно.
Если где-то чего-то убудет, то в другом месте добавится.
(Закон сохранения).