Science

How can we prove that the Newton's law of Gravity is correct and how can we confirm that the Gravity is really exist?

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The best answer to your first question, I think, is that we do it that way we check scientific hypotheses in general: we make predictions, do experiments, etc. The details, of course, are best left to the physicists, but unless the worry is a skeptical question about scientific knowledge in general, we proceed in the usual ways that science proceeds: we look for experimental results that would be improbable if Newton were wrong, but probable if he were right.

As for whether gravity exists, this question needs some clarifying, I think. Suppose we have good reason to think that bodies in the universe behave pretty much as Newton's laws say they should. On one way of looking at things, this is exactly what the existence of "gravity" amounts to: confirming Newton's laws (or some related set of laws) is what it means to confirm that gravity exists, because there's nothing more to gravity than nature acting in accord with certain laws.

On another view, the existence of gravitation amounts to the existence of something that lies "behind" or "beneath" the laws. It's some sort of Force with a capital "F" that makes bodies follow Newton's laws. But now we've opend up a hot can of worms, if you'll pardon the metaphor. Whether we are ever in a position to say this sort of thing is at the root of some very old controversies in philosophy. Fortunately, scientists can go about their jnb without worrying too much about whether we have reasons to believe in this more gravitas-filled notion of gravity.

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