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Yes, any scientific theory can and will be rejected if evidence contradicts it, but it in this case it probably wouldn't be thrown out.

After all, we didn't just throw out Newtonian mechanics when Einstein came up with relativity, or even when quantum theory emerged. Why not?

Well both relativity and quantum theory contain Newtonian theory as an approximation. In fact, Newtonian theory for many purposes is an extremely good approximation. It is also much simpler to solve practical problems with, and so it is kept rather than just rejected. It is always understood under which circumstances Newton cannot be used, and which it is preferable to use Newton.

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Q: A well accepted theory in science is einsteins theory of relativity if new evidence is found which contradicted the theory could be rejected?
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