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Both Special Relativity and Newtonian gravity covered known observations. BUT, Special Relativity predicted that light would bend in a sufficiently strong gravitational field. Newtonian gravity predicted light would continue in a straight line. So, in 1919 Eddington and others looked for the position of stars during an eclipse. They were displaced from light traveling in a straight line. Special Relativity supported, Newtonian gravity falsified.

 

Slight correction — this is General Relativity being described here.

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